Using strain energy-based prediction of effective elastic properties in topology optimization of material microstructures
Abstract An alternative strain energy method is proposed for the prediction of effective elastic properties of orthotropic materials in this paper. The method is implemented in the topology optimization procedure to design cellular solids. A comparative study is made between the strain energy method...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zhang, Weihong [verfasserIn] Dai, Gaoming [verfasserIn] Wang, Fengwen [verfasserIn] Sun, Shiping [verfasserIn] Bassir, Hicham [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2007 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Acta mechanica Sinica - Berlin : Springer, 1985, 23(2007), 1 vom: 24. Jan., Seite 77-89 |
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| Übergeordnetes Werk: |
volume:23 ; year:2007 ; number:1 ; day:24 ; month:01 ; pages:77-89 |
| Links: |
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| DOI / URN: |
10.1007/s10409-006-0045-2 |
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| Katalog-ID: |
SPR009895116 |
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| 520 | |a Abstract An alternative strain energy method is proposed for the prediction of effective elastic properties of orthotropic materials in this paper. The method is implemented in the topology optimization procedure to design cellular solids. A comparative study is made between the strain energy method and the well-known homogenization method. Numerical results show that both methods agree well in the numerical prediction and sensitivity analysis of effective elastic tensor when homogeneous boundary conditions are properly specified. Two dimensional and three dimensional microstructures are optimized for maximum stiffness designs by combining the proposed method with the dual optimization algorithm of convex programming. Satisfactory results are obtained for a variety of design cases. | ||
| 650 | 4 | |a Cellular solids |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Material design |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Homogenization method |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Strain energy |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Topology optimization |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Dai, Gaoming |e verfasserin |4 aut | |
| 700 | 1 | |a Wang, Fengwen |e verfasserin |4 aut | |
| 700 | 1 | |a Sun, Shiping |e verfasserin |4 aut | |
| 700 | 1 | |a Bassir, Hicham |e verfasserin |4 aut | |
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10.1007/s10409-006-0045-2 doi (DE-627)SPR009895116 (SPR)s10409-006-0045-2-e DE-627 ger DE-627 rakwb eng 530 ASE 33.11 bkl 50.31 bkl 50.33 bkl Zhang, Weihong verfasserin aut Using strain energy-based prediction of effective elastic properties in topology optimization of material microstructures 2007 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract An alternative strain energy method is proposed for the prediction of effective elastic properties of orthotropic materials in this paper. The method is implemented in the topology optimization procedure to design cellular solids. A comparative study is made between the strain energy method and the well-known homogenization method. Numerical results show that both methods agree well in the numerical prediction and sensitivity analysis of effective elastic tensor when homogeneous boundary conditions are properly specified. Two dimensional and three dimensional microstructures are optimized for maximum stiffness designs by combining the proposed method with the dual optimization algorithm of convex programming. Satisfactory results are obtained for a variety of design cases. Cellular solids (dpeaa)DE-He213 Material design (dpeaa)DE-He213 Homogenization method (dpeaa)DE-He213 Strain energy (dpeaa)DE-He213 Topology optimization (dpeaa)DE-He213 Dai, Gaoming verfasserin aut Wang, Fengwen verfasserin aut Sun, Shiping verfasserin aut Bassir, Hicham verfasserin aut Enthalten in Acta mechanica Sinica Berlin : Springer, 1985 23(2007), 1 vom: 24. Jan., Seite 77-89 (DE-627)481908277 (DE-600)2181030-8 1614-3116 nnns volume:23 year:2007 number:1 day:24 month:01 pages:77-89 https://dx.doi.org/10.1007/s10409-006-0045-2 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 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_2008 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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 33.11 ASE 50.31 ASE 50.33 ASE AR 23 2007 1 24 01 77-89 |
| spelling |
10.1007/s10409-006-0045-2 doi (DE-627)SPR009895116 (SPR)s10409-006-0045-2-e DE-627 ger DE-627 rakwb eng 530 ASE 33.11 bkl 50.31 bkl 50.33 bkl Zhang, Weihong verfasserin aut Using strain energy-based prediction of effective elastic properties in topology optimization of material microstructures 2007 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract An alternative strain energy method is proposed for the prediction of effective elastic properties of orthotropic materials in this paper. The method is implemented in the topology optimization procedure to design cellular solids. A comparative study is made between the strain energy method and the well-known homogenization method. Numerical results show that both methods agree well in the numerical prediction and sensitivity analysis of effective elastic tensor when homogeneous boundary conditions are properly specified. Two dimensional and three dimensional microstructures are optimized for maximum stiffness designs by combining the proposed method with the dual optimization algorithm of convex programming. Satisfactory results are obtained for a variety of design cases. Cellular solids (dpeaa)DE-He213 Material design (dpeaa)DE-He213 Homogenization method (dpeaa)DE-He213 Strain energy (dpeaa)DE-He213 Topology optimization (dpeaa)DE-He213 Dai, Gaoming verfasserin aut Wang, Fengwen verfasserin aut Sun, Shiping verfasserin aut Bassir, Hicham verfasserin aut Enthalten in Acta mechanica Sinica Berlin : Springer, 1985 23(2007), 1 vom: 24. Jan., Seite 77-89 (DE-627)481908277 (DE-600)2181030-8 1614-3116 nnns volume:23 year:2007 number:1 day:24 month:01 pages:77-89 https://dx.doi.org/10.1007/s10409-006-0045-2 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 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_2008 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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 33.11 ASE 50.31 ASE 50.33 ASE AR 23 2007 1 24 01 77-89 |
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10.1007/s10409-006-0045-2 doi (DE-627)SPR009895116 (SPR)s10409-006-0045-2-e DE-627 ger DE-627 rakwb eng 530 ASE 33.11 bkl 50.31 bkl 50.33 bkl Zhang, Weihong verfasserin aut Using strain energy-based prediction of effective elastic properties in topology optimization of material microstructures 2007 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract An alternative strain energy method is proposed for the prediction of effective elastic properties of orthotropic materials in this paper. The method is implemented in the topology optimization procedure to design cellular solids. A comparative study is made between the strain energy method and the well-known homogenization method. Numerical results show that both methods agree well in the numerical prediction and sensitivity analysis of effective elastic tensor when homogeneous boundary conditions are properly specified. Two dimensional and three dimensional microstructures are optimized for maximum stiffness designs by combining the proposed method with the dual optimization algorithm of convex programming. Satisfactory results are obtained for a variety of design cases. Cellular solids (dpeaa)DE-He213 Material design (dpeaa)DE-He213 Homogenization method (dpeaa)DE-He213 Strain energy (dpeaa)DE-He213 Topology optimization (dpeaa)DE-He213 Dai, Gaoming verfasserin aut Wang, Fengwen verfasserin aut Sun, Shiping verfasserin aut Bassir, Hicham verfasserin aut Enthalten in Acta mechanica Sinica Berlin : Springer, 1985 23(2007), 1 vom: 24. Jan., Seite 77-89 (DE-627)481908277 (DE-600)2181030-8 1614-3116 nnns volume:23 year:2007 number:1 day:24 month:01 pages:77-89 https://dx.doi.org/10.1007/s10409-006-0045-2 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 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_2008 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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 33.11 ASE 50.31 ASE 50.33 ASE AR 23 2007 1 24 01 77-89 |
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10.1007/s10409-006-0045-2 doi (DE-627)SPR009895116 (SPR)s10409-006-0045-2-e DE-627 ger DE-627 rakwb eng 530 ASE 33.11 bkl 50.31 bkl 50.33 bkl Zhang, Weihong verfasserin aut Using strain energy-based prediction of effective elastic properties in topology optimization of material microstructures 2007 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract An alternative strain energy method is proposed for the prediction of effective elastic properties of orthotropic materials in this paper. The method is implemented in the topology optimization procedure to design cellular solids. A comparative study is made between the strain energy method and the well-known homogenization method. Numerical results show that both methods agree well in the numerical prediction and sensitivity analysis of effective elastic tensor when homogeneous boundary conditions are properly specified. Two dimensional and three dimensional microstructures are optimized for maximum stiffness designs by combining the proposed method with the dual optimization algorithm of convex programming. Satisfactory results are obtained for a variety of design cases. Cellular solids (dpeaa)DE-He213 Material design (dpeaa)DE-He213 Homogenization method (dpeaa)DE-He213 Strain energy (dpeaa)DE-He213 Topology optimization (dpeaa)DE-He213 Dai, Gaoming verfasserin aut Wang, Fengwen verfasserin aut Sun, Shiping verfasserin aut Bassir, Hicham verfasserin aut Enthalten in Acta mechanica Sinica Berlin : Springer, 1985 23(2007), 1 vom: 24. Jan., Seite 77-89 (DE-627)481908277 (DE-600)2181030-8 1614-3116 nnns volume:23 year:2007 number:1 day:24 month:01 pages:77-89 https://dx.doi.org/10.1007/s10409-006-0045-2 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 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_2008 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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 33.11 ASE 50.31 ASE 50.33 ASE AR 23 2007 1 24 01 77-89 |
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10.1007/s10409-006-0045-2 doi (DE-627)SPR009895116 (SPR)s10409-006-0045-2-e DE-627 ger DE-627 rakwb eng 530 ASE 33.11 bkl 50.31 bkl 50.33 bkl Zhang, Weihong verfasserin aut Using strain energy-based prediction of effective elastic properties in topology optimization of material microstructures 2007 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract An alternative strain energy method is proposed for the prediction of effective elastic properties of orthotropic materials in this paper. The method is implemented in the topology optimization procedure to design cellular solids. A comparative study is made between the strain energy method and the well-known homogenization method. Numerical results show that both methods agree well in the numerical prediction and sensitivity analysis of effective elastic tensor when homogeneous boundary conditions are properly specified. Two dimensional and three dimensional microstructures are optimized for maximum stiffness designs by combining the proposed method with the dual optimization algorithm of convex programming. Satisfactory results are obtained for a variety of design cases. Cellular solids (dpeaa)DE-He213 Material design (dpeaa)DE-He213 Homogenization method (dpeaa)DE-He213 Strain energy (dpeaa)DE-He213 Topology optimization (dpeaa)DE-He213 Dai, Gaoming verfasserin aut Wang, Fengwen verfasserin aut Sun, Shiping verfasserin aut Bassir, Hicham verfasserin aut Enthalten in Acta mechanica Sinica Berlin : Springer, 1985 23(2007), 1 vom: 24. Jan., Seite 77-89 (DE-627)481908277 (DE-600)2181030-8 1614-3116 nnns volume:23 year:2007 number:1 day:24 month:01 pages:77-89 https://dx.doi.org/10.1007/s10409-006-0045-2 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 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_2008 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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 33.11 ASE 50.31 ASE 50.33 ASE AR 23 2007 1 24 01 77-89 |
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Enthalten in Acta mechanica Sinica 23(2007), 1 vom: 24. Jan., Seite 77-89 volume:23 year:2007 number:1 day:24 month:01 pages:77-89 |
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Enthalten in Acta mechanica Sinica 23(2007), 1 vom: 24. Jan., Seite 77-89 volume:23 year:2007 number:1 day:24 month:01 pages:77-89 |
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Cellular solids Material design Homogenization method Strain energy Topology optimization |
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Acta mechanica Sinica |
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Zhang, Weihong @@aut@@ Dai, Gaoming @@aut@@ Wang, Fengwen @@aut@@ Sun, Shiping @@aut@@ Bassir, Hicham @@aut@@ |
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2007-01-24T00:00:00Z |
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Zhang, Weihong |
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Zhang, Weihong ddc 530 bkl 33.11 bkl 50.31 bkl 50.33 misc Cellular solids misc Material design misc Homogenization method misc Strain energy misc Topology optimization Using strain energy-based prediction of effective elastic properties in topology optimization of material microstructures |
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530 ASE 33.11 bkl 50.31 bkl 50.33 bkl Using strain energy-based prediction of effective elastic properties in topology optimization of material microstructures Cellular solids (dpeaa)DE-He213 Material design (dpeaa)DE-He213 Homogenization method (dpeaa)DE-He213 Strain energy (dpeaa)DE-He213 Topology optimization (dpeaa)DE-He213 |
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ddc 530 bkl 33.11 bkl 50.31 bkl 50.33 misc Cellular solids misc Material design misc Homogenization method misc Strain energy misc Topology optimization |
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ddc 530 bkl 33.11 bkl 50.31 bkl 50.33 misc Cellular solids misc Material design misc Homogenization method misc Strain energy misc Topology optimization |
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ddc 530 bkl 33.11 bkl 50.31 bkl 50.33 misc Cellular solids misc Material design misc Homogenization method misc Strain energy misc Topology optimization |
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Using strain energy-based prediction of effective elastic properties in topology optimization of material microstructures |
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Using strain energy-based prediction of effective elastic properties in topology optimization of material microstructures |
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using strain energy-based prediction of effective elastic properties in topology optimization of material microstructures |
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Using strain energy-based prediction of effective elastic properties in topology optimization of material microstructures |
| abstract |
Abstract An alternative strain energy method is proposed for the prediction of effective elastic properties of orthotropic materials in this paper. The method is implemented in the topology optimization procedure to design cellular solids. A comparative study is made between the strain energy method and the well-known homogenization method. Numerical results show that both methods agree well in the numerical prediction and sensitivity analysis of effective elastic tensor when homogeneous boundary conditions are properly specified. Two dimensional and three dimensional microstructures are optimized for maximum stiffness designs by combining the proposed method with the dual optimization algorithm of convex programming. Satisfactory results are obtained for a variety of design cases. |
| abstractGer |
Abstract An alternative strain energy method is proposed for the prediction of effective elastic properties of orthotropic materials in this paper. The method is implemented in the topology optimization procedure to design cellular solids. A comparative study is made between the strain energy method and the well-known homogenization method. Numerical results show that both methods agree well in the numerical prediction and sensitivity analysis of effective elastic tensor when homogeneous boundary conditions are properly specified. Two dimensional and three dimensional microstructures are optimized for maximum stiffness designs by combining the proposed method with the dual optimization algorithm of convex programming. Satisfactory results are obtained for a variety of design cases. |
| abstract_unstemmed |
Abstract An alternative strain energy method is proposed for the prediction of effective elastic properties of orthotropic materials in this paper. The method is implemented in the topology optimization procedure to design cellular solids. A comparative study is made between the strain energy method and the well-known homogenization method. Numerical results show that both methods agree well in the numerical prediction and sensitivity analysis of effective elastic tensor when homogeneous boundary conditions are properly specified. Two dimensional and three dimensional microstructures are optimized for maximum stiffness designs by combining the proposed method with the dual optimization algorithm of convex programming. Satisfactory results are obtained for a variety of design cases. |
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Using strain energy-based prediction of effective elastic properties in topology optimization of material microstructures |
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https://dx.doi.org/10.1007/s10409-006-0045-2 |
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Dai, Gaoming Wang, Fengwen Sun, Shiping Bassir, Hicham |
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Dai, Gaoming Wang, Fengwen Sun, Shiping Bassir, Hicham |
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| doi_str |
10.1007/s10409-006-0045-2 |
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2024-07-04T03:25:48.499Z |
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| score |
7.401946 |