Dynamic stress response analysis of inhomogeneous medium containing inhomogeneous inclusions under action of SH waves

Abstract This paper proposes an analytical method for studying the propagation of elastic waves in shear modulus- and density-inhomogeneous substrates containing shear modulus- and density-inhomogeneous inclusions based on theories and methods regarding elastic wave propagation in a homogeneous medi...
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Autor*in:	Zhu, Yun [verfasserIn] Yang, Zai-lin Zhao, Jian Chen, Yi-cun Mi, Yong-tao

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	Constant wave velocity Dynamic stress concentration factor (DSCF) Inhomogeneous inclusion Inhomogeneous substrate SH wave

Anmerkung:	© The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Übergeordnetes Werk:	Enthalten in: Journal of engineering mathematics - Dordrecht [u.a.] : Springer Science + Business Media B.V, 1967, 143(2023), 1 vom: 17. Okt.
Übergeordnetes Werk:	volume:143 ; year:2023 ; number:1 ; day:17 ; month:10

Links:	Volltext

DOI / URN:	10.1007/s10665-023-10297-0

Katalog-ID:	SPR053433661

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520			\|a Abstract This paper proposes an analytical method for studying the propagation of elastic waves in shear modulus- and density-inhomogeneous substrates containing shear modulus- and density-inhomogeneous inclusions based on theories and methods regarding elastic wave propagation in a homogeneous medium. This method provides research ideas and theoretical references to analyze the dynamic stress concentration and interface displacement problems in functionally graded material (FGM) composites. Taking an inhomogeneous substrate, with power-law variations in both shear modulus and density, containing inhomogeneous circular inclusions under the action of SH waves as an example, the dynamic stress responses caused by the circular inclusions, whose shear modulus and density vary with exponential gradients, are analyzed. The effects of the reference wavenumber in the substrate, the inclusion-to-substrate wavenumber ratio, and the inhomogeneous variations of the substrate and inclusions on the peripheral dynamic stress concentration factor distribution of the inclusions are analyzed using calculation examples. The results suggest that circular inclusion-induced dynamic stress concentration is sensitive to changes in substrate heterogeneity. When the inhomogeneous parameter of the substrate increases, the dynamic stress concentration around a circular inclusion increases sharply. Finally, the dynamic stress concentration can be somewhat reduced by regulating the inclusion heterogeneity.
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allfields	10.1007/s10665-023-10297-0 doi (DE-627)SPR053433661 (SPR)s10665-023-10297-0-e DE-627 ger DE-627 rakwb eng Zhu, Yun verfasserin aut Dynamic stress response analysis of inhomogeneous medium containing inhomogeneous inclusions under action of SH waves 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This paper proposes an analytical method for studying the propagation of elastic waves in shear modulus- and density-inhomogeneous substrates containing shear modulus- and density-inhomogeneous inclusions based on theories and methods regarding elastic wave propagation in a homogeneous medium. This method provides research ideas and theoretical references to analyze the dynamic stress concentration and interface displacement problems in functionally graded material (FGM) composites. Taking an inhomogeneous substrate, with power-law variations in both shear modulus and density, containing inhomogeneous circular inclusions under the action of SH waves as an example, the dynamic stress responses caused by the circular inclusions, whose shear modulus and density vary with exponential gradients, are analyzed. The effects of the reference wavenumber in the substrate, the inclusion-to-substrate wavenumber ratio, and the inhomogeneous variations of the substrate and inclusions on the peripheral dynamic stress concentration factor distribution of the inclusions are analyzed using calculation examples. The results suggest that circular inclusion-induced dynamic stress concentration is sensitive to changes in substrate heterogeneity. When the inhomogeneous parameter of the substrate increases, the dynamic stress concentration around a circular inclusion increases sharply. Finally, the dynamic stress concentration can be somewhat reduced by regulating the inclusion heterogeneity. Constant wave velocity (dpeaa)DE-He213 Dynamic stress concentration factor (DSCF) (dpeaa)DE-He213 Inhomogeneous inclusion (dpeaa)DE-He213 Inhomogeneous substrate (dpeaa)DE-He213 SH wave (dpeaa)DE-He213 Yang, Zai-lin aut Zhao, Jian aut Chen, Yi-cun aut Mi, Yong-tao aut Enthalten in Journal of engineering mathematics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1967 143(2023), 1 vom: 17. Okt. (DE-627)270937552 (DE-600)1478716-7 1573-2703 nnns volume:143 year:2023 number:1 day:17 month:10 https://dx.doi.org/10.1007/s10665-023-10297-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 143 2023 1 17 10
spelling	10.1007/s10665-023-10297-0 doi (DE-627)SPR053433661 (SPR)s10665-023-10297-0-e DE-627 ger DE-627 rakwb eng Zhu, Yun verfasserin aut Dynamic stress response analysis of inhomogeneous medium containing inhomogeneous inclusions under action of SH waves 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This paper proposes an analytical method for studying the propagation of elastic waves in shear modulus- and density-inhomogeneous substrates containing shear modulus- and density-inhomogeneous inclusions based on theories and methods regarding elastic wave propagation in a homogeneous medium. This method provides research ideas and theoretical references to analyze the dynamic stress concentration and interface displacement problems in functionally graded material (FGM) composites. Taking an inhomogeneous substrate, with power-law variations in both shear modulus and density, containing inhomogeneous circular inclusions under the action of SH waves as an example, the dynamic stress responses caused by the circular inclusions, whose shear modulus and density vary with exponential gradients, are analyzed. The effects of the reference wavenumber in the substrate, the inclusion-to-substrate wavenumber ratio, and the inhomogeneous variations of the substrate and inclusions on the peripheral dynamic stress concentration factor distribution of the inclusions are analyzed using calculation examples. The results suggest that circular inclusion-induced dynamic stress concentration is sensitive to changes in substrate heterogeneity. When the inhomogeneous parameter of the substrate increases, the dynamic stress concentration around a circular inclusion increases sharply. Finally, the dynamic stress concentration can be somewhat reduced by regulating the inclusion heterogeneity. Constant wave velocity (dpeaa)DE-He213 Dynamic stress concentration factor (DSCF) (dpeaa)DE-He213 Inhomogeneous inclusion (dpeaa)DE-He213 Inhomogeneous substrate (dpeaa)DE-He213 SH wave (dpeaa)DE-He213 Yang, Zai-lin aut Zhao, Jian aut Chen, Yi-cun aut Mi, Yong-tao aut Enthalten in Journal of engineering mathematics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1967 143(2023), 1 vom: 17. Okt. (DE-627)270937552 (DE-600)1478716-7 1573-2703 nnns volume:143 year:2023 number:1 day:17 month:10 https://dx.doi.org/10.1007/s10665-023-10297-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 143 2023 1 17 10
allfields_unstemmed	10.1007/s10665-023-10297-0 doi (DE-627)SPR053433661 (SPR)s10665-023-10297-0-e DE-627 ger DE-627 rakwb eng Zhu, Yun verfasserin aut Dynamic stress response analysis of inhomogeneous medium containing inhomogeneous inclusions under action of SH waves 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This paper proposes an analytical method for studying the propagation of elastic waves in shear modulus- and density-inhomogeneous substrates containing shear modulus- and density-inhomogeneous inclusions based on theories and methods regarding elastic wave propagation in a homogeneous medium. This method provides research ideas and theoretical references to analyze the dynamic stress concentration and interface displacement problems in functionally graded material (FGM) composites. Taking an inhomogeneous substrate, with power-law variations in both shear modulus and density, containing inhomogeneous circular inclusions under the action of SH waves as an example, the dynamic stress responses caused by the circular inclusions, whose shear modulus and density vary with exponential gradients, are analyzed. The effects of the reference wavenumber in the substrate, the inclusion-to-substrate wavenumber ratio, and the inhomogeneous variations of the substrate and inclusions on the peripheral dynamic stress concentration factor distribution of the inclusions are analyzed using calculation examples. The results suggest that circular inclusion-induced dynamic stress concentration is sensitive to changes in substrate heterogeneity. When the inhomogeneous parameter of the substrate increases, the dynamic stress concentration around a circular inclusion increases sharply. Finally, the dynamic stress concentration can be somewhat reduced by regulating the inclusion heterogeneity. Constant wave velocity (dpeaa)DE-He213 Dynamic stress concentration factor (DSCF) (dpeaa)DE-He213 Inhomogeneous inclusion (dpeaa)DE-He213 Inhomogeneous substrate (dpeaa)DE-He213 SH wave (dpeaa)DE-He213 Yang, Zai-lin aut Zhao, Jian aut Chen, Yi-cun aut Mi, Yong-tao aut Enthalten in Journal of engineering mathematics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1967 143(2023), 1 vom: 17. Okt. (DE-627)270937552 (DE-600)1478716-7 1573-2703 nnns volume:143 year:2023 number:1 day:17 month:10 https://dx.doi.org/10.1007/s10665-023-10297-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 143 2023 1 17 10
allfieldsGer	10.1007/s10665-023-10297-0 doi (DE-627)SPR053433661 (SPR)s10665-023-10297-0-e DE-627 ger DE-627 rakwb eng Zhu, Yun verfasserin aut Dynamic stress response analysis of inhomogeneous medium containing inhomogeneous inclusions under action of SH waves 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This paper proposes an analytical method for studying the propagation of elastic waves in shear modulus- and density-inhomogeneous substrates containing shear modulus- and density-inhomogeneous inclusions based on theories and methods regarding elastic wave propagation in a homogeneous medium. This method provides research ideas and theoretical references to analyze the dynamic stress concentration and interface displacement problems in functionally graded material (FGM) composites. Taking an inhomogeneous substrate, with power-law variations in both shear modulus and density, containing inhomogeneous circular inclusions under the action of SH waves as an example, the dynamic stress responses caused by the circular inclusions, whose shear modulus and density vary with exponential gradients, are analyzed. The effects of the reference wavenumber in the substrate, the inclusion-to-substrate wavenumber ratio, and the inhomogeneous variations of the substrate and inclusions on the peripheral dynamic stress concentration factor distribution of the inclusions are analyzed using calculation examples. The results suggest that circular inclusion-induced dynamic stress concentration is sensitive to changes in substrate heterogeneity. When the inhomogeneous parameter of the substrate increases, the dynamic stress concentration around a circular inclusion increases sharply. Finally, the dynamic stress concentration can be somewhat reduced by regulating the inclusion heterogeneity. Constant wave velocity (dpeaa)DE-He213 Dynamic stress concentration factor (DSCF) (dpeaa)DE-He213 Inhomogeneous inclusion (dpeaa)DE-He213 Inhomogeneous substrate (dpeaa)DE-He213 SH wave (dpeaa)DE-He213 Yang, Zai-lin aut Zhao, Jian aut Chen, Yi-cun aut Mi, Yong-tao aut Enthalten in Journal of engineering mathematics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1967 143(2023), 1 vom: 17. Okt. (DE-627)270937552 (DE-600)1478716-7 1573-2703 nnns volume:143 year:2023 number:1 day:17 month:10 https://dx.doi.org/10.1007/s10665-023-10297-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 143 2023 1 17 10
allfieldsSound	10.1007/s10665-023-10297-0 doi (DE-627)SPR053433661 (SPR)s10665-023-10297-0-e DE-627 ger DE-627 rakwb eng Zhu, Yun verfasserin aut Dynamic stress response analysis of inhomogeneous medium containing inhomogeneous inclusions under action of SH waves 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This paper proposes an analytical method for studying the propagation of elastic waves in shear modulus- and density-inhomogeneous substrates containing shear modulus- and density-inhomogeneous inclusions based on theories and methods regarding elastic wave propagation in a homogeneous medium. This method provides research ideas and theoretical references to analyze the dynamic stress concentration and interface displacement problems in functionally graded material (FGM) composites. Taking an inhomogeneous substrate, with power-law variations in both shear modulus and density, containing inhomogeneous circular inclusions under the action of SH waves as an example, the dynamic stress responses caused by the circular inclusions, whose shear modulus and density vary with exponential gradients, are analyzed. The effects of the reference wavenumber in the substrate, the inclusion-to-substrate wavenumber ratio, and the inhomogeneous variations of the substrate and inclusions on the peripheral dynamic stress concentration factor distribution of the inclusions are analyzed using calculation examples. The results suggest that circular inclusion-induced dynamic stress concentration is sensitive to changes in substrate heterogeneity. When the inhomogeneous parameter of the substrate increases, the dynamic stress concentration around a circular inclusion increases sharply. Finally, the dynamic stress concentration can be somewhat reduced by regulating the inclusion heterogeneity. Constant wave velocity (dpeaa)DE-He213 Dynamic stress concentration factor (DSCF) (dpeaa)DE-He213 Inhomogeneous inclusion (dpeaa)DE-He213 Inhomogeneous substrate (dpeaa)DE-He213 SH wave (dpeaa)DE-He213 Yang, Zai-lin aut Zhao, Jian aut Chen, Yi-cun aut Mi, Yong-tao aut Enthalten in Journal of engineering mathematics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1967 143(2023), 1 vom: 17. Okt. (DE-627)270937552 (DE-600)1478716-7 1573-2703 nnns volume:143 year:2023 number:1 day:17 month:10 https://dx.doi.org/10.1007/s10665-023-10297-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 143 2023 1 17 10
language	English
source	Enthalten in Journal of engineering mathematics 143(2023), 1 vom: 17. Okt. volume:143 year:2023 number:1 day:17 month:10
sourceStr	Enthalten in Journal of engineering mathematics 143(2023), 1 vom: 17. Okt. volume:143 year:2023 number:1 day:17 month:10
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Constant wave velocity Dynamic stress concentration factor (DSCF) Inhomogeneous inclusion Inhomogeneous substrate SH wave
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container_title	Journal of engineering mathematics
authorswithroles_txt_mv	Zhu, Yun @@aut@@ Yang, Zai-lin @@aut@@ Zhao, Jian @@aut@@ Chen, Yi-cun @@aut@@ Mi, Yong-tao @@aut@@
publishDateDaySort_date	2023-10-17T00:00:00Z
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author	Zhu, Yun
spellingShingle	Zhu, Yun misc Constant wave velocity misc Dynamic stress concentration factor (DSCF) misc Inhomogeneous inclusion misc Inhomogeneous substrate misc SH wave Dynamic stress response analysis of inhomogeneous medium containing inhomogeneous inclusions under action of SH waves
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topic_title	Dynamic stress response analysis of inhomogeneous medium containing inhomogeneous inclusions under action of SH waves Constant wave velocity (dpeaa)DE-He213 Dynamic stress concentration factor (DSCF) (dpeaa)DE-He213 Inhomogeneous inclusion (dpeaa)DE-He213 Inhomogeneous substrate (dpeaa)DE-He213 SH wave (dpeaa)DE-He213
topic	misc Constant wave velocity misc Dynamic stress concentration factor (DSCF) misc Inhomogeneous inclusion misc Inhomogeneous substrate misc SH wave
topic_unstemmed	misc Constant wave velocity misc Dynamic stress concentration factor (DSCF) misc Inhomogeneous inclusion misc Inhomogeneous substrate misc SH wave
topic_browse	misc Constant wave velocity misc Dynamic stress concentration factor (DSCF) misc Inhomogeneous inclusion misc Inhomogeneous substrate misc SH wave
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title	Dynamic stress response analysis of inhomogeneous medium containing inhomogeneous inclusions under action of SH waves
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title_full	Dynamic stress response analysis of inhomogeneous medium containing inhomogeneous inclusions under action of SH waves
author_sort	Zhu, Yun
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author_browse	Zhu, Yun Yang, Zai-lin Zhao, Jian Chen, Yi-cun Mi, Yong-tao
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title_sort	dynamic stress response analysis of inhomogeneous medium containing inhomogeneous inclusions under action of sh waves
title_auth	Dynamic stress response analysis of inhomogeneous medium containing inhomogeneous inclusions under action of SH waves
abstract	Abstract This paper proposes an analytical method for studying the propagation of elastic waves in shear modulus- and density-inhomogeneous substrates containing shear modulus- and density-inhomogeneous inclusions based on theories and methods regarding elastic wave propagation in a homogeneous medium. This method provides research ideas and theoretical references to analyze the dynamic stress concentration and interface displacement problems in functionally graded material (FGM) composites. Taking an inhomogeneous substrate, with power-law variations in both shear modulus and density, containing inhomogeneous circular inclusions under the action of SH waves as an example, the dynamic stress responses caused by the circular inclusions, whose shear modulus and density vary with exponential gradients, are analyzed. The effects of the reference wavenumber in the substrate, the inclusion-to-substrate wavenumber ratio, and the inhomogeneous variations of the substrate and inclusions on the peripheral dynamic stress concentration factor distribution of the inclusions are analyzed using calculation examples. The results suggest that circular inclusion-induced dynamic stress concentration is sensitive to changes in substrate heterogeneity. When the inhomogeneous parameter of the substrate increases, the dynamic stress concentration around a circular inclusion increases sharply. Finally, the dynamic stress concentration can be somewhat reduced by regulating the inclusion heterogeneity. © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
abstractGer	Abstract This paper proposes an analytical method for studying the propagation of elastic waves in shear modulus- and density-inhomogeneous substrates containing shear modulus- and density-inhomogeneous inclusions based on theories and methods regarding elastic wave propagation in a homogeneous medium. This method provides research ideas and theoretical references to analyze the dynamic stress concentration and interface displacement problems in functionally graded material (FGM) composites. Taking an inhomogeneous substrate, with power-law variations in both shear modulus and density, containing inhomogeneous circular inclusions under the action of SH waves as an example, the dynamic stress responses caused by the circular inclusions, whose shear modulus and density vary with exponential gradients, are analyzed. The effects of the reference wavenumber in the substrate, the inclusion-to-substrate wavenumber ratio, and the inhomogeneous variations of the substrate and inclusions on the peripheral dynamic stress concentration factor distribution of the inclusions are analyzed using calculation examples. The results suggest that circular inclusion-induced dynamic stress concentration is sensitive to changes in substrate heterogeneity. When the inhomogeneous parameter of the substrate increases, the dynamic stress concentration around a circular inclusion increases sharply. Finally, the dynamic stress concentration can be somewhat reduced by regulating the inclusion heterogeneity. © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
abstract_unstemmed	Abstract This paper proposes an analytical method for studying the propagation of elastic waves in shear modulus- and density-inhomogeneous substrates containing shear modulus- and density-inhomogeneous inclusions based on theories and methods regarding elastic wave propagation in a homogeneous medium. This method provides research ideas and theoretical references to analyze the dynamic stress concentration and interface displacement problems in functionally graded material (FGM) composites. Taking an inhomogeneous substrate, with power-law variations in both shear modulus and density, containing inhomogeneous circular inclusions under the action of SH waves as an example, the dynamic stress responses caused by the circular inclusions, whose shear modulus and density vary with exponential gradients, are analyzed. The effects of the reference wavenumber in the substrate, the inclusion-to-substrate wavenumber ratio, and the inhomogeneous variations of the substrate and inclusions on the peripheral dynamic stress concentration factor distribution of the inclusions are analyzed using calculation examples. The results suggest that circular inclusion-induced dynamic stress concentration is sensitive to changes in substrate heterogeneity. When the inhomogeneous parameter of the substrate increases, the dynamic stress concentration around a circular inclusion increases sharply. Finally, the dynamic stress concentration can be somewhat reduced by regulating the inclusion heterogeneity. © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
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title_short	Dynamic stress response analysis of inhomogeneous medium containing inhomogeneous inclusions under action of SH waves
url	https://dx.doi.org/10.1007/s10665-023-10297-0
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author2	Yang, Zai-lin Zhao, Jian Chen, Yi-cun Mi, Yong-tao
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up_date	2024-07-03T19:30:11.277Z
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fullrecord_marcxml	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">SPR053433661</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20231129064634.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">231018s2023 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s10665-023-10297-0</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR053433661</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s10665-023-10297-0-e</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Zhu, Yun</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Dynamic stress response analysis of inhomogeneous medium containing inhomogeneous inclusions under action of SH waves</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2023</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract This paper proposes an analytical method for studying the propagation of elastic waves in shear modulus- and density-inhomogeneous substrates containing shear modulus- and density-inhomogeneous inclusions based on theories and methods regarding elastic wave propagation in a homogeneous medium. This method provides research ideas and theoretical references to analyze the dynamic stress concentration and interface displacement problems in functionally graded material (FGM) composites. Taking an inhomogeneous substrate, with power-law variations in both shear modulus and density, containing inhomogeneous circular inclusions under the action of SH waves as an example, the dynamic stress responses caused by the circular inclusions, whose shear modulus and density vary with exponential gradients, are analyzed. The effects of the reference wavenumber in the substrate, the inclusion-to-substrate wavenumber ratio, and the inhomogeneous variations of the substrate and inclusions on the peripheral dynamic stress concentration factor distribution of the inclusions are analyzed using calculation examples. The results suggest that circular inclusion-induced dynamic stress concentration is sensitive to changes in substrate heterogeneity. When the inhomogeneous parameter of the substrate increases, the dynamic stress concentration around a circular inclusion increases sharply. Finally, the dynamic stress concentration can be somewhat reduced by regulating the inclusion heterogeneity.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Constant wave velocity</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Dynamic stress concentration factor (DSCF)</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Inhomogeneous inclusion</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Inhomogeneous substrate</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">SH wave</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Yang, Zai-lin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zhao, Jian</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Chen, Yi-cun</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Mi, Yong-tao</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Journal of engineering mathematics</subfield><subfield code="d">Dordrecht [u.a.] : Springer Science + Business Media B.V, 1967</subfield><subfield code="g">143(2023), 1 vom: 17. 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Dynamic stress response analysis of inhomogeneous medium containing inhomogeneous inclusions under action of SH waves

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