Contact stresses in an infinite plate containing a rigid circular inclusion under thermal loads
Summary The problem of an infinite plate containing a rigid circular inclusion under thermal loads is solved in this paper. The thermal loads considered here include the temperature gradient applied at infinity and a uniform temperature change. One of the major difficult parts in solving the present...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Chao, C. K. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2001 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag 2001 |
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| Übergeordnetes Werk: |
Enthalten in: Acta mechanica - Springer-Verlag, 1965, 152(2001), 1-4 vom: März, Seite 95-108 |
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| Übergeordnetes Werk: |
volume:152 ; year:2001 ; number:1-4 ; month:03 ; pages:95-108 |
| Links: |
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| DOI / URN: |
10.1007/BF01176947 |
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OLC203012401X |
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| 520 | |a Summary The problem of an infinite plate containing a rigid circular inclusion under thermal loads is solved in this paper. The thermal loads considered here include the temperature gradient applied at infinity and a uniform temperature change. One of the major difficult parts in solving the present problem is that separation may occur between an insert or inclusion and the surrounding matrix under a non-uniform expansion of the matrix due to a temperature change. Unlike the corresponding problem with perfect contact along the interface between the inclusion and the surrounding matrix, there is no exact solution available for the current problem with incomplete contact. Based on the complex potential theory and the method of analytical continuation, a Prandtl type of integro-differential equation corresponding to the incomplete contact problem is derived. By expressing the normal stress function in terms of series form, the system of simultaneous equations is then established and solved numerically. Numerical results of the normal compressive stress and the circumferential stress for different thermal loading conditions are discussed in detail and shown in graphic form. | ||
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10.1007/BF01176947 doi (DE-627)OLC203012401X (DE-He213)BF01176947-p DE-627 ger DE-627 rakwb eng 530 VZ Chao, C. K. verfasserin aut Contact stresses in an infinite plate containing a rigid circular inclusion under thermal loads 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2001 Summary The problem of an infinite plate containing a rigid circular inclusion under thermal loads is solved in this paper. The thermal loads considered here include the temperature gradient applied at infinity and a uniform temperature change. One of the major difficult parts in solving the present problem is that separation may occur between an insert or inclusion and the surrounding matrix under a non-uniform expansion of the matrix due to a temperature change. Unlike the corresponding problem with perfect contact along the interface between the inclusion and the surrounding matrix, there is no exact solution available for the current problem with incomplete contact. Based on the complex potential theory and the method of analytical continuation, a Prandtl type of integro-differential equation corresponding to the incomplete contact problem is derived. By expressing the normal stress function in terms of series form, the system of simultaneous equations is then established and solved numerically. Numerical results of the normal compressive stress and the circumferential stress for different thermal loading conditions are discussed in detail and shown in graphic form. Compressive Stress Thermal Load Contact Problem Contact Stress Stress Function Chang, K. W. aut Enthalten in Acta mechanica Springer-Verlag, 1965 152(2001), 1-4 vom: März, Seite 95-108 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:152 year:2001 number:1-4 month:03 pages:95-108 https://doi.org/10.1007/BF01176947 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_59 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2129 GBV_ILN_2409 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4316 GBV_ILN_4323 GBV_ILN_4700 AR 152 2001 1-4 03 95-108 |
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10.1007/BF01176947 doi (DE-627)OLC203012401X (DE-He213)BF01176947-p DE-627 ger DE-627 rakwb eng 530 VZ Chao, C. K. verfasserin aut Contact stresses in an infinite plate containing a rigid circular inclusion under thermal loads 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2001 Summary The problem of an infinite plate containing a rigid circular inclusion under thermal loads is solved in this paper. The thermal loads considered here include the temperature gradient applied at infinity and a uniform temperature change. One of the major difficult parts in solving the present problem is that separation may occur between an insert or inclusion and the surrounding matrix under a non-uniform expansion of the matrix due to a temperature change. Unlike the corresponding problem with perfect contact along the interface between the inclusion and the surrounding matrix, there is no exact solution available for the current problem with incomplete contact. Based on the complex potential theory and the method of analytical continuation, a Prandtl type of integro-differential equation corresponding to the incomplete contact problem is derived. By expressing the normal stress function in terms of series form, the system of simultaneous equations is then established and solved numerically. Numerical results of the normal compressive stress and the circumferential stress for different thermal loading conditions are discussed in detail and shown in graphic form. Compressive Stress Thermal Load Contact Problem Contact Stress Stress Function Chang, K. W. aut Enthalten in Acta mechanica Springer-Verlag, 1965 152(2001), 1-4 vom: März, Seite 95-108 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:152 year:2001 number:1-4 month:03 pages:95-108 https://doi.org/10.1007/BF01176947 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_59 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2129 GBV_ILN_2409 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4316 GBV_ILN_4323 GBV_ILN_4700 AR 152 2001 1-4 03 95-108 |
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10.1007/BF01176947 doi (DE-627)OLC203012401X (DE-He213)BF01176947-p DE-627 ger DE-627 rakwb eng 530 VZ Chao, C. K. verfasserin aut Contact stresses in an infinite plate containing a rigid circular inclusion under thermal loads 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2001 Summary The problem of an infinite plate containing a rigid circular inclusion under thermal loads is solved in this paper. The thermal loads considered here include the temperature gradient applied at infinity and a uniform temperature change. One of the major difficult parts in solving the present problem is that separation may occur between an insert or inclusion and the surrounding matrix under a non-uniform expansion of the matrix due to a temperature change. Unlike the corresponding problem with perfect contact along the interface between the inclusion and the surrounding matrix, there is no exact solution available for the current problem with incomplete contact. Based on the complex potential theory and the method of analytical continuation, a Prandtl type of integro-differential equation corresponding to the incomplete contact problem is derived. By expressing the normal stress function in terms of series form, the system of simultaneous equations is then established and solved numerically. Numerical results of the normal compressive stress and the circumferential stress for different thermal loading conditions are discussed in detail and shown in graphic form. Compressive Stress Thermal Load Contact Problem Contact Stress Stress Function Chang, K. W. aut Enthalten in Acta mechanica Springer-Verlag, 1965 152(2001), 1-4 vom: März, Seite 95-108 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:152 year:2001 number:1-4 month:03 pages:95-108 https://doi.org/10.1007/BF01176947 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_59 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2129 GBV_ILN_2409 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4316 GBV_ILN_4323 GBV_ILN_4700 AR 152 2001 1-4 03 95-108 |
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10.1007/BF01176947 doi (DE-627)OLC203012401X (DE-He213)BF01176947-p DE-627 ger DE-627 rakwb eng 530 VZ Chao, C. K. verfasserin aut Contact stresses in an infinite plate containing a rigid circular inclusion under thermal loads 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2001 Summary The problem of an infinite plate containing a rigid circular inclusion under thermal loads is solved in this paper. The thermal loads considered here include the temperature gradient applied at infinity and a uniform temperature change. One of the major difficult parts in solving the present problem is that separation may occur between an insert or inclusion and the surrounding matrix under a non-uniform expansion of the matrix due to a temperature change. Unlike the corresponding problem with perfect contact along the interface between the inclusion and the surrounding matrix, there is no exact solution available for the current problem with incomplete contact. Based on the complex potential theory and the method of analytical continuation, a Prandtl type of integro-differential equation corresponding to the incomplete contact problem is derived. By expressing the normal stress function in terms of series form, the system of simultaneous equations is then established and solved numerically. Numerical results of the normal compressive stress and the circumferential stress for different thermal loading conditions are discussed in detail and shown in graphic form. Compressive Stress Thermal Load Contact Problem Contact Stress Stress Function Chang, K. W. aut Enthalten in Acta mechanica Springer-Verlag, 1965 152(2001), 1-4 vom: März, Seite 95-108 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:152 year:2001 number:1-4 month:03 pages:95-108 https://doi.org/10.1007/BF01176947 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_59 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2129 GBV_ILN_2409 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4316 GBV_ILN_4323 GBV_ILN_4700 AR 152 2001 1-4 03 95-108 |
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10.1007/BF01176947 doi (DE-627)OLC203012401X (DE-He213)BF01176947-p DE-627 ger DE-627 rakwb eng 530 VZ Chao, C. K. verfasserin aut Contact stresses in an infinite plate containing a rigid circular inclusion under thermal loads 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2001 Summary The problem of an infinite plate containing a rigid circular inclusion under thermal loads is solved in this paper. The thermal loads considered here include the temperature gradient applied at infinity and a uniform temperature change. One of the major difficult parts in solving the present problem is that separation may occur between an insert or inclusion and the surrounding matrix under a non-uniform expansion of the matrix due to a temperature change. Unlike the corresponding problem with perfect contact along the interface between the inclusion and the surrounding matrix, there is no exact solution available for the current problem with incomplete contact. Based on the complex potential theory and the method of analytical continuation, a Prandtl type of integro-differential equation corresponding to the incomplete contact problem is derived. By expressing the normal stress function in terms of series form, the system of simultaneous equations is then established and solved numerically. Numerical results of the normal compressive stress and the circumferential stress for different thermal loading conditions are discussed in detail and shown in graphic form. Compressive Stress Thermal Load Contact Problem Contact Stress Stress Function Chang, K. W. aut Enthalten in Acta mechanica Springer-Verlag, 1965 152(2001), 1-4 vom: März, Seite 95-108 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:152 year:2001 number:1-4 month:03 pages:95-108 https://doi.org/10.1007/BF01176947 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_59 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2129 GBV_ILN_2409 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4316 GBV_ILN_4323 GBV_ILN_4700 AR 152 2001 1-4 03 95-108 |
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Acta mechanica |
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2001 |
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Chao, C. K. Chang, K. W. |
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Chao, C. K. |
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10.1007/BF01176947 |
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contact stresses in an infinite plate containing a rigid circular inclusion under thermal loads |
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Contact stresses in an infinite plate containing a rigid circular inclusion under thermal loads |
| abstract |
Summary The problem of an infinite plate containing a rigid circular inclusion under thermal loads is solved in this paper. The thermal loads considered here include the temperature gradient applied at infinity and a uniform temperature change. One of the major difficult parts in solving the present problem is that separation may occur between an insert or inclusion and the surrounding matrix under a non-uniform expansion of the matrix due to a temperature change. Unlike the corresponding problem with perfect contact along the interface between the inclusion and the surrounding matrix, there is no exact solution available for the current problem with incomplete contact. Based on the complex potential theory and the method of analytical continuation, a Prandtl type of integro-differential equation corresponding to the incomplete contact problem is derived. By expressing the normal stress function in terms of series form, the system of simultaneous equations is then established and solved numerically. Numerical results of the normal compressive stress and the circumferential stress for different thermal loading conditions are discussed in detail and shown in graphic form. © Springer-Verlag 2001 |
| abstractGer |
Summary The problem of an infinite plate containing a rigid circular inclusion under thermal loads is solved in this paper. The thermal loads considered here include the temperature gradient applied at infinity and a uniform temperature change. One of the major difficult parts in solving the present problem is that separation may occur between an insert or inclusion and the surrounding matrix under a non-uniform expansion of the matrix due to a temperature change. Unlike the corresponding problem with perfect contact along the interface between the inclusion and the surrounding matrix, there is no exact solution available for the current problem with incomplete contact. Based on the complex potential theory and the method of analytical continuation, a Prandtl type of integro-differential equation corresponding to the incomplete contact problem is derived. By expressing the normal stress function in terms of series form, the system of simultaneous equations is then established and solved numerically. Numerical results of the normal compressive stress and the circumferential stress for different thermal loading conditions are discussed in detail and shown in graphic form. © Springer-Verlag 2001 |
| abstract_unstemmed |
Summary The problem of an infinite plate containing a rigid circular inclusion under thermal loads is solved in this paper. The thermal loads considered here include the temperature gradient applied at infinity and a uniform temperature change. One of the major difficult parts in solving the present problem is that separation may occur between an insert or inclusion and the surrounding matrix under a non-uniform expansion of the matrix due to a temperature change. Unlike the corresponding problem with perfect contact along the interface between the inclusion and the surrounding matrix, there is no exact solution available for the current problem with incomplete contact. Based on the complex potential theory and the method of analytical continuation, a Prandtl type of integro-differential equation corresponding to the incomplete contact problem is derived. By expressing the normal stress function in terms of series form, the system of simultaneous equations is then established and solved numerically. Numerical results of the normal compressive stress and the circumferential stress for different thermal loading conditions are discussed in detail and shown in graphic form. © Springer-Verlag 2001 |
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Contact stresses in an infinite plate containing a rigid circular inclusion under thermal loads |
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