Homogenization methods for multiscale mechanics:
In many physical problems several scales are present in space or time, caused by inhomogeneity of the medium or complexity of the mechanical process. A fundamental approach is to first construct micro-scale models, and then deduce the macro-scale laws and the constitutive relations by properly avera...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Singapore
World Scientific Pub. Co.
c2010
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| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | In many physical problems several scales are present in space or time, caused by inhomogeneity of the medium or complexity of the mechanical process. A fundamental approach is to first construct micro-scale models, and then deduce the macro-scale laws and the constitutive relations by properly averaging over the micro-scale. The perturbation method of multiple scales can be used to derive averaged equations for a much larger scale from considerations of the small scales. In the mechanics of multiscale media, the analytical scheme of upscaling is known as the Theory of Homogenization. The authors share the view that the general methods of homogenization should be more widely understood and practiced by applied scientists and engineers. Hence this book is aimed at providing a less abstract treatment of the theory of homogenization for treating inhomogeneous media, and at illustrating its broad range of applications. Each chapter deals with a different class of physical problems. To tackle a new problem, the approach of first discussing the physically relevant scales, then identifying the small parameters and their roles in the normalized governing equations is adopted. The details of asymptotic analysis are only explained afterwards |
| Beschreibung: | xvii, 330 p. ill |
| ISBN: | 9789814282451 |
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| 520 | |a In many physical problems several scales are present in space or time, caused by inhomogeneity of the medium or complexity of the mechanical process. A fundamental approach is to first construct micro-scale models, and then deduce the macro-scale laws and the constitutive relations by properly averaging over the micro-scale. The perturbation method of multiple scales can be used to derive averaged equations for a much larger scale from considerations of the small scales. In the mechanics of multiscale media, the analytical scheme of upscaling is known as the Theory of Homogenization. The authors share the view that the general methods of homogenization should be more widely understood and practiced by applied scientists and engineers. Hence this book is aimed at providing a less abstract treatment of the theory of homogenization for treating inhomogeneous media, and at illustrating its broad range of applications. Each chapter deals with a different class of physical problems. To tackle a new problem, the approach of first discussing the physically relevant scales, then identifying the small parameters and their roles in the normalized governing equations is adopted. The details of asymptotic analysis are only explained afterwards | ||
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Datensatz im Suchindex
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| author | Mei, Chiang C. |
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| spelling | Mei, Chiang C. Verfasser aut Homogenization methods for multiscale mechanics Chiang C. Mei, Bogdan Vernescu Singapore World Scientific Pub. Co. c2010 xvii, 330 p. ill txt rdacontent c rdamedia cr rdacarrier In many physical problems several scales are present in space or time, caused by inhomogeneity of the medium or complexity of the mechanical process. A fundamental approach is to first construct micro-scale models, and then deduce the macro-scale laws and the constitutive relations by properly averaging over the micro-scale. The perturbation method of multiple scales can be used to derive averaged equations for a much larger scale from considerations of the small scales. In the mechanics of multiscale media, the analytical scheme of upscaling is known as the Theory of Homogenization. The authors share the view that the general methods of homogenization should be more widely understood and practiced by applied scientists and engineers. Hence this book is aimed at providing a less abstract treatment of the theory of homogenization for treating inhomogeneous media, and at illustrating its broad range of applications. Each chapter deals with a different class of physical problems. To tackle a new problem, the approach of first discussing the physically relevant scales, then identifying the small parameters and their roles in the normalized governing equations is adopted. The details of asymptotic analysis are only explained afterwards Homogenization (Differential equations) Mathematical physics Mehrskalenanalyse (DE-588)4416235-2 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Homogenisierungsmethode (DE-588)4257770-6 gnd rswk-swf Homogenisierung Mathematik (DE-588)4403079-4 gnd rswk-swf Mehrskalenanalyse (DE-588)4416235-2 s Homogenisierung Mathematik (DE-588)4403079-4 s Homogenisierungsmethode (DE-588)4257770-6 s Mathematische Physik (DE-588)4037952-8 s 1\p DE-604 Vernescu, Bogdan Sonstige oth Erscheint auch als Druck-Ausgabe 9789814282444 Erscheint auch als Druck-Ausgabe 9814282448 http://www.worldscientific.com/worldscibooks/10.1142/7427#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mei, Chiang C. Homogenization methods for multiscale mechanics Homogenization (Differential equations) Mathematical physics Mehrskalenanalyse (DE-588)4416235-2 gnd Mathematische Physik (DE-588)4037952-8 gnd Homogenisierungsmethode (DE-588)4257770-6 gnd Homogenisierung Mathematik (DE-588)4403079-4 gnd |
| subject_GND | (DE-588)4416235-2 (DE-588)4037952-8 (DE-588)4257770-6 (DE-588)4403079-4 |
| title | Homogenization methods for multiscale mechanics |
| title_auth | Homogenization methods for multiscale mechanics |
| title_exact_search | Homogenization methods for multiscale mechanics |
| title_full | Homogenization methods for multiscale mechanics Chiang C. Mei, Bogdan Vernescu |
| title_fullStr | Homogenization methods for multiscale mechanics Chiang C. Mei, Bogdan Vernescu |
| title_full_unstemmed | Homogenization methods for multiscale mechanics Chiang C. Mei, Bogdan Vernescu |
| title_short | Homogenization methods for multiscale mechanics |
| title_sort | homogenization methods for multiscale mechanics |
| topic | Homogenization (Differential equations) Mathematical physics Mehrskalenanalyse (DE-588)4416235-2 gnd Mathematische Physik (DE-588)4037952-8 gnd Homogenisierungsmethode (DE-588)4257770-6 gnd Homogenisierung Mathematik (DE-588)4403079-4 gnd |
| topic_facet | Homogenization (Differential equations) Mathematical physics Mehrskalenanalyse Mathematische Physik Homogenisierungsmethode Homogenisierung Mathematik |
| url | http://www.worldscientific.com/worldscibooks/10.1142/7427#t=toc |
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