Implicit Formulation of Homogenization Method for Periodic Elastic-Viscoplastic Solids
In this study, to determine incremental, perturbed displacement fields in periodicelastic-viscoplastic solids, an incremental homogenization problem is fully implicitly formulatedusing a linearized constitutive relation, a micro/macro-kinematic relation, and a stress balanceequation. It is shown tha...
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| Autor*in: |
Asada, Takashi [verfasserIn] |
|---|
| Format: |
E-Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
s.l. Stafa-Zurich, Switzerland: 2007 |
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| Anmerkung: |
https://getinfo.de/app/details?id=transtech:doi~10.4028%252Fwww.scientific.net%252FKEM.345-346.853 |
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| Umfang: |
Online-Ressource (4 pages) |
| Reproduktion: |
Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008 |
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| Übergeordnetes Werk: |
In: Key engineering materials - Uetikon a.S. : Trans Tech Publications, 1986, Vol. 345-346 (Aug. 2007), p. 853-856 |
| Übergeordnetes Werk: |
volume:345-346 ; year:2007 ; pages:853-856 |
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10.4028/www.scientific.net/KEM.345-346.853 |
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| 520 | |a In this study, to determine incremental, perturbed displacement fields in periodicelastic-viscoplastic solids, an incremental homogenization problem is fully implicitly formulatedusing a linearized constitutive relation, a micro/macro-kinematic relation, and a stress balanceequation. It is shown that the homogenization problem can be iteratively solved with quadraticconvergences by successively updating strain increments in unit cells, and that the presentformulation allows versatility in the initial setting of strain increments in contrast to Terada-Kikuchi(2001) and Miehe (2002). This homogenization algorithm is then examined by analyzing a holedplate, with an elastic-viscoplastic micro-structure, subjected to tensile loading. It is thusdemonstrated that the convergence in iteratively solving the homogenization problem stronglydepends on the initial setting of strain increments in unit cells, and that quick convergences can beattained if the initial setting of strain increments is appropriate | ||
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10.4028/www.scientific.net/KEM.345-346.853 doi (DE-627)NLEJ238245403 DE-627 ger DE-627 rakwb eng Asada, Takashi verfasserin aut Implicit Formulation of Homogenization Method for Periodic Elastic-Viscoplastic Solids s.l. Stafa-Zurich, Switzerland 2007 Online-Ressource (4 pages) nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier https://getinfo.de/app/details?id=transtech:doi~10.4028%252Fwww.scientific.net%252FKEM.345-346.853 In this study, to determine incremental, perturbed displacement fields in periodicelastic-viscoplastic solids, an incremental homogenization problem is fully implicitly formulatedusing a linearized constitutive relation, a micro/macro-kinematic relation, and a stress balanceequation. It is shown that the homogenization problem can be iteratively solved with quadraticconvergences by successively updating strain increments in unit cells, and that the presentformulation allows versatility in the initial setting of strain increments in contrast to Terada-Kikuchi(2001) and Miehe (2002). This homogenization algorithm is then examined by analyzing a holedplate, with an elastic-viscoplastic micro-structure, subjected to tensile loading. It is thusdemonstrated that the convergence in iteratively solving the homogenization problem stronglydepends on the initial setting of strain increments in unit cells, and that quick convergences can beattained if the initial setting of strain increments is appropriate Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008 Ohno, Nobutada oth In Key engineering materials Uetikon a.S. : Trans Tech Publications, 1986 Vol. 345-346 (Aug. 2007), p. 853-856 Online-Ressource (DE-627)NLEJ237794934 (DE-600)2073306-9 1013-9826 nnns volume:345-346 year:2007 pages:853-856 https://www.tib.eu/de/openurl/search/?pid=doi:10.4028/www.scientific.net/KEM.345-346.853 text/html Deutschlandweit zugänglich Volltext https://doi.org//10.4028/www.scientific.net/KEM.345-346.853 text/html Deutschlandweit zugänglich Volltext GBV_USEFLAG_U ZDB-1-SNT GBV_NL_ARTICLE AR 345-346 2007 853-856 Vol. 345-346 (Aug. 2007), p. 853-856 |
| spelling |
10.4028/www.scientific.net/KEM.345-346.853 doi (DE-627)NLEJ238245403 DE-627 ger DE-627 rakwb eng Asada, Takashi verfasserin aut Implicit Formulation of Homogenization Method for Periodic Elastic-Viscoplastic Solids s.l. Stafa-Zurich, Switzerland 2007 Online-Ressource (4 pages) nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier https://getinfo.de/app/details?id=transtech:doi~10.4028%252Fwww.scientific.net%252FKEM.345-346.853 In this study, to determine incremental, perturbed displacement fields in periodicelastic-viscoplastic solids, an incremental homogenization problem is fully implicitly formulatedusing a linearized constitutive relation, a micro/macro-kinematic relation, and a stress balanceequation. It is shown that the homogenization problem can be iteratively solved with quadraticconvergences by successively updating strain increments in unit cells, and that the presentformulation allows versatility in the initial setting of strain increments in contrast to Terada-Kikuchi(2001) and Miehe (2002). This homogenization algorithm is then examined by analyzing a holedplate, with an elastic-viscoplastic micro-structure, subjected to tensile loading. It is thusdemonstrated that the convergence in iteratively solving the homogenization problem stronglydepends on the initial setting of strain increments in unit cells, and that quick convergences can beattained if the initial setting of strain increments is appropriate Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008 Ohno, Nobutada oth In Key engineering materials Uetikon a.S. : Trans Tech Publications, 1986 Vol. 345-346 (Aug. 2007), p. 853-856 Online-Ressource (DE-627)NLEJ237794934 (DE-600)2073306-9 1013-9826 nnns volume:345-346 year:2007 pages:853-856 https://www.tib.eu/de/openurl/search/?pid=doi:10.4028/www.scientific.net/KEM.345-346.853 text/html Deutschlandweit zugänglich Volltext https://doi.org//10.4028/www.scientific.net/KEM.345-346.853 text/html Deutschlandweit zugänglich Volltext GBV_USEFLAG_U ZDB-1-SNT GBV_NL_ARTICLE AR 345-346 2007 853-856 Vol. 345-346 (Aug. 2007), p. 853-856 |
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10.4028/www.scientific.net/KEM.345-346.853 doi (DE-627)NLEJ238245403 DE-627 ger DE-627 rakwb eng Asada, Takashi verfasserin aut Implicit Formulation of Homogenization Method for Periodic Elastic-Viscoplastic Solids s.l. Stafa-Zurich, Switzerland 2007 Online-Ressource (4 pages) nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier https://getinfo.de/app/details?id=transtech:doi~10.4028%252Fwww.scientific.net%252FKEM.345-346.853 In this study, to determine incremental, perturbed displacement fields in periodicelastic-viscoplastic solids, an incremental homogenization problem is fully implicitly formulatedusing a linearized constitutive relation, a micro/macro-kinematic relation, and a stress balanceequation. It is shown that the homogenization problem can be iteratively solved with quadraticconvergences by successively updating strain increments in unit cells, and that the presentformulation allows versatility in the initial setting of strain increments in contrast to Terada-Kikuchi(2001) and Miehe (2002). This homogenization algorithm is then examined by analyzing a holedplate, with an elastic-viscoplastic micro-structure, subjected to tensile loading. It is thusdemonstrated that the convergence in iteratively solving the homogenization problem stronglydepends on the initial setting of strain increments in unit cells, and that quick convergences can beattained if the initial setting of strain increments is appropriate Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008 Ohno, Nobutada oth In Key engineering materials Uetikon a.S. : Trans Tech Publications, 1986 Vol. 345-346 (Aug. 2007), p. 853-856 Online-Ressource (DE-627)NLEJ237794934 (DE-600)2073306-9 1013-9826 nnns volume:345-346 year:2007 pages:853-856 https://www.tib.eu/de/openurl/search/?pid=doi:10.4028/www.scientific.net/KEM.345-346.853 text/html Deutschlandweit zugänglich Volltext https://doi.org//10.4028/www.scientific.net/KEM.345-346.853 text/html Deutschlandweit zugänglich Volltext GBV_USEFLAG_U ZDB-1-SNT GBV_NL_ARTICLE AR 345-346 2007 853-856 Vol. 345-346 (Aug. 2007), p. 853-856 |
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10.4028/www.scientific.net/KEM.345-346.853 doi (DE-627)NLEJ238245403 DE-627 ger DE-627 rakwb eng Asada, Takashi verfasserin aut Implicit Formulation of Homogenization Method for Periodic Elastic-Viscoplastic Solids s.l. Stafa-Zurich, Switzerland 2007 Online-Ressource (4 pages) nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier https://getinfo.de/app/details?id=transtech:doi~10.4028%252Fwww.scientific.net%252FKEM.345-346.853 In this study, to determine incremental, perturbed displacement fields in periodicelastic-viscoplastic solids, an incremental homogenization problem is fully implicitly formulatedusing a linearized constitutive relation, a micro/macro-kinematic relation, and a stress balanceequation. It is shown that the homogenization problem can be iteratively solved with quadraticconvergences by successively updating strain increments in unit cells, and that the presentformulation allows versatility in the initial setting of strain increments in contrast to Terada-Kikuchi(2001) and Miehe (2002). This homogenization algorithm is then examined by analyzing a holedplate, with an elastic-viscoplastic micro-structure, subjected to tensile loading. It is thusdemonstrated that the convergence in iteratively solving the homogenization problem stronglydepends on the initial setting of strain increments in unit cells, and that quick convergences can beattained if the initial setting of strain increments is appropriate Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008 Ohno, Nobutada oth In Key engineering materials Uetikon a.S. : Trans Tech Publications, 1986 Vol. 345-346 (Aug. 2007), p. 853-856 Online-Ressource (DE-627)NLEJ237794934 (DE-600)2073306-9 1013-9826 nnns volume:345-346 year:2007 pages:853-856 https://www.tib.eu/de/openurl/search/?pid=doi:10.4028/www.scientific.net/KEM.345-346.853 text/html Deutschlandweit zugänglich Volltext https://doi.org//10.4028/www.scientific.net/KEM.345-346.853 text/html Deutschlandweit zugänglich Volltext GBV_USEFLAG_U ZDB-1-SNT GBV_NL_ARTICLE AR 345-346 2007 853-856 Vol. 345-346 (Aug. 2007), p. 853-856 |
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10.4028/www.scientific.net/KEM.345-346.853 doi (DE-627)NLEJ238245403 DE-627 ger DE-627 rakwb eng Asada, Takashi verfasserin aut Implicit Formulation of Homogenization Method for Periodic Elastic-Viscoplastic Solids s.l. Stafa-Zurich, Switzerland 2007 Online-Ressource (4 pages) nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier https://getinfo.de/app/details?id=transtech:doi~10.4028%252Fwww.scientific.net%252FKEM.345-346.853 In this study, to determine incremental, perturbed displacement fields in periodicelastic-viscoplastic solids, an incremental homogenization problem is fully implicitly formulatedusing a linearized constitutive relation, a micro/macro-kinematic relation, and a stress balanceequation. It is shown that the homogenization problem can be iteratively solved with quadraticconvergences by successively updating strain increments in unit cells, and that the presentformulation allows versatility in the initial setting of strain increments in contrast to Terada-Kikuchi(2001) and Miehe (2002). This homogenization algorithm is then examined by analyzing a holedplate, with an elastic-viscoplastic micro-structure, subjected to tensile loading. It is thusdemonstrated that the convergence in iteratively solving the homogenization problem stronglydepends on the initial setting of strain increments in unit cells, and that quick convergences can beattained if the initial setting of strain increments is appropriate Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008 Ohno, Nobutada oth In Key engineering materials Uetikon a.S. : Trans Tech Publications, 1986 Vol. 345-346 (Aug. 2007), p. 853-856 Online-Ressource (DE-627)NLEJ237794934 (DE-600)2073306-9 1013-9826 nnns volume:345-346 year:2007 pages:853-856 https://www.tib.eu/de/openurl/search/?pid=doi:10.4028/www.scientific.net/KEM.345-346.853 text/html Deutschlandweit zugänglich Volltext https://doi.org//10.4028/www.scientific.net/KEM.345-346.853 text/html Deutschlandweit zugänglich Volltext GBV_USEFLAG_U ZDB-1-SNT GBV_NL_ARTICLE AR 345-346 2007 853-856 Vol. 345-346 (Aug. 2007), p. 853-856 |
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Implicit Formulation of Homogenization Method for Periodic Elastic-Viscoplastic Solids |
| abstract |
In this study, to determine incremental, perturbed displacement fields in periodicelastic-viscoplastic solids, an incremental homogenization problem is fully implicitly formulatedusing a linearized constitutive relation, a micro/macro-kinematic relation, and a stress balanceequation. It is shown that the homogenization problem can be iteratively solved with quadraticconvergences by successively updating strain increments in unit cells, and that the presentformulation allows versatility in the initial setting of strain increments in contrast to Terada-Kikuchi(2001) and Miehe (2002). This homogenization algorithm is then examined by analyzing a holedplate, with an elastic-viscoplastic micro-structure, subjected to tensile loading. It is thusdemonstrated that the convergence in iteratively solving the homogenization problem stronglydepends on the initial setting of strain increments in unit cells, and that quick convergences can beattained if the initial setting of strain increments is appropriate https://getinfo.de/app/details?id=transtech:doi~10.4028%252Fwww.scientific.net%252FKEM.345-346.853 |
| abstractGer |
In this study, to determine incremental, perturbed displacement fields in periodicelastic-viscoplastic solids, an incremental homogenization problem is fully implicitly formulatedusing a linearized constitutive relation, a micro/macro-kinematic relation, and a stress balanceequation. It is shown that the homogenization problem can be iteratively solved with quadraticconvergences by successively updating strain increments in unit cells, and that the presentformulation allows versatility in the initial setting of strain increments in contrast to Terada-Kikuchi(2001) and Miehe (2002). This homogenization algorithm is then examined by analyzing a holedplate, with an elastic-viscoplastic micro-structure, subjected to tensile loading. It is thusdemonstrated that the convergence in iteratively solving the homogenization problem stronglydepends on the initial setting of strain increments in unit cells, and that quick convergences can beattained if the initial setting of strain increments is appropriate https://getinfo.de/app/details?id=transtech:doi~10.4028%252Fwww.scientific.net%252FKEM.345-346.853 |
| abstract_unstemmed |
In this study, to determine incremental, perturbed displacement fields in periodicelastic-viscoplastic solids, an incremental homogenization problem is fully implicitly formulatedusing a linearized constitutive relation, a micro/macro-kinematic relation, and a stress balanceequation. It is shown that the homogenization problem can be iteratively solved with quadraticconvergences by successively updating strain increments in unit cells, and that the presentformulation allows versatility in the initial setting of strain increments in contrast to Terada-Kikuchi(2001) and Miehe (2002). This homogenization algorithm is then examined by analyzing a holedplate, with an elastic-viscoplastic micro-structure, subjected to tensile loading. It is thusdemonstrated that the convergence in iteratively solving the homogenization problem stronglydepends on the initial setting of strain increments in unit cells, and that quick convergences can beattained if the initial setting of strain increments is appropriate https://getinfo.de/app/details?id=transtech:doi~10.4028%252Fwww.scientific.net%252FKEM.345-346.853 |
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Implicit Formulation of Homogenization Method for Periodic Elastic-Viscoplastic Solids |
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