Homogenization methods for multiscale mechanics:
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
2010
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| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references and index Introductory examples of homogenization method. Long waves in a layered elastic medium ; Short waves in a weakly stratified elastic medium ; Dispersion of passive solute in pipe flow ; Typical procedure of homogenization analysis -- Diffusion in a composite. Basic equations for two components in perfect contact ; Effective equation on the macroscale ; Effective boundary condition ; Symmetry and positiveness of effective conductivity ; Laminated composites ; Bounds for effective conductivity ; Hashin-Shtrikman bounds ; Other approximate results for dilute inclusions ; Thermal resistance at the interface ; Laminated composites with thermal resistance ; Bounds for the effective conductivity ; Chemical transport in aggregated soil ; Appendix 2A : heat transfer in a two-slab system -- - Seepage in rigid porous media. Equations for seepage flow and Darcy's law ; Uniqueness of the cell boundary-value problem ; Symmetry and positiveness of hydraulic conductivity ; Numerical computation of the permeability tensor ; Seepage of a compressible fluid ; Two-dimensional flow through a three-dimensional matrix ; Porous media with three scales ; Brinkman's modification of Darcy's law ; Effects of weak fluid intertia ; Appendix 3A : spatial averaging theorem -- Dispersion in periodic media or flows. Passive solute in a two-scale seepage flow ; Macrodispersion in a three-scale porous medium ; Dispersion and transport in a wave boundary layer above the seabed ; Appendix 4A : derivation of convection-dispersion equation ; Appendix 4B : an alternate form of macrodispersion tensor -- - Heterogeneous elastic materials. effective equations on the macroscale ; The effective elastic coefficients ; Application to fiber-reinforced composite ; Elastic panels with periodic microstructure ; Variational principles and bounds for the elastic moduli ; Hashin-Shtrikman bounds ; Partially cohesive composites ; Appendix 5A : properties of a tensor of fourth rank -- Deformable porous media. Basic equations for fluid and solid phases ; Scale estimates ; Multiple-scale expansions ; Averaged total momentum of the composite ; Averaged mass conservation of fluid phase ; Averaged fluid momentum ; Time-Harmonic motion ; Properties of the effective coefficients ; Computed elastic coefficients ; Boundary-layer approximation for macroscale problems ; Appendix 6A : properties of the compliance tensor ; Appendix 6B : variational principle for the elastostatic problem in a cell -- - Wave propagation in inhomogeneous media. Long wave through a compact cylinder array ; Bragg scattering of short waves by a cylinder array ; Sound propagation in a bubbly liquid ; One-dimensional sound through a weakly random medium ; Weakly nonlinear dispersive waves in a random medium ; Harmonic generation in random media In many physical problems several scales present either in space or in time, caused by either 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 Homogenizati |
| Beschreibung: | 1 Online-Ressource (xvii, 330 pages) |
| ISBN: | 9789814282444 9789814282451 9814282448 9814282456 |
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| 245 | 1 | 0 | |a Homogenization methods for multiscale mechanics |c Chiang C. Mei, Bogdan Vernescu |
| 264 | 1 | |a Singapore |b World Scientific |c 2010 | |
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| 500 | |a Includes bibliographical references and index | ||
| 500 | |a Introductory examples of homogenization method. Long waves in a layered elastic medium ; Short waves in a weakly stratified elastic medium ; Dispersion of passive solute in pipe flow ; Typical procedure of homogenization analysis -- Diffusion in a composite. Basic equations for two components in perfect contact ; Effective equation on the macroscale ; Effective boundary condition ; Symmetry and positiveness of effective conductivity ; Laminated composites ; Bounds for effective conductivity ; Hashin-Shtrikman bounds ; Other approximate results for dilute inclusions ; Thermal resistance at the interface ; Laminated composites with thermal resistance ; Bounds for the effective conductivity ; Chemical transport in aggregated soil ; Appendix 2A : heat transfer in a two-slab system -- | ||
| 500 | |a - Seepage in rigid porous media. Equations for seepage flow and Darcy's law ; Uniqueness of the cell boundary-value problem ; Symmetry and positiveness of hydraulic conductivity ; Numerical computation of the permeability tensor ; Seepage of a compressible fluid ; Two-dimensional flow through a three-dimensional matrix ; Porous media with three scales ; Brinkman's modification of Darcy's law ; Effects of weak fluid intertia ; Appendix 3A : spatial averaging theorem -- Dispersion in periodic media or flows. Passive solute in a two-scale seepage flow ; Macrodispersion in a three-scale porous medium ; Dispersion and transport in a wave boundary layer above the seabed ; Appendix 4A : derivation of convection-dispersion equation ; Appendix 4B : an alternate form of macrodispersion tensor -- | ||
| 500 | |a - Heterogeneous elastic materials. effective equations on the macroscale ; The effective elastic coefficients ; Application to fiber-reinforced composite ; Elastic panels with periodic microstructure ; Variational principles and bounds for the elastic moduli ; Hashin-Shtrikman bounds ; Partially cohesive composites ; Appendix 5A : properties of a tensor of fourth rank -- Deformable porous media. Basic equations for fluid and solid phases ; Scale estimates ; Multiple-scale expansions ; Averaged total momentum of the composite ; Averaged mass conservation of fluid phase ; Averaged fluid momentum ; Time-Harmonic motion ; Properties of the effective coefficients ; Computed elastic coefficients ; Boundary-layer approximation for macroscale problems ; Appendix 6A : properties of the compliance tensor ; Appendix 6B : variational principle for the elastostatic problem in a cell -- | ||
| 500 | |a - Wave propagation in inhomogeneous media. Long wave through a compact cylinder array ; Bragg scattering of short waves by a cylinder array ; Sound propagation in a bubbly liquid ; One-dimensional sound through a weakly random medium ; Weakly nonlinear dispersive waves in a random medium ; Harmonic generation in random media | ||
| 500 | |a In many physical problems several scales present either in space or in time, caused by either 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 Homogenizati | ||
| 650 | 4 | |a Mathematics | |
| 650 | 7 | |a MATHEMATICS / Differential Equations / Partial |2 bisacsh | |
| 650 | 4 | |a Mathematik | |
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| 650 | 4 | |a Homogenization (Differential equations) | |
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| 689 | 0 | 3 | |a Mathematische Physik |0 (DE-588)4037952-8 |D s |
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Datensatz im Suchindex
| _version_ | 1804175600837984256 |
|---|---|
| any_adam_object | |
| author | Mei, Chiang C. |
| author_facet | Mei, Chiang C. |
| author_role | aut |
| author_sort | Mei, Chiang C. |
| author_variant | c c m cc ccm |
| building | Verbundindex |
| bvnumber | BV043146269 |
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| dewey-full | 515.3/53 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.3/53 |
| dewey-search | 515.3/53 |
| dewey-sort | 3515.3 253 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043146269 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:52Z |
| institution | BVB |
| isbn | 9789814282444 9789814282451 9814282448 9814282456 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028570460 |
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| physical | 1 Online-Ressource (xvii, 330 pages) |
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| spelling | Mei, Chiang C. Verfasser aut Homogenization methods for multiscale mechanics Chiang C. Mei, Bogdan Vernescu Singapore World Scientific 2010 1 Online-Ressource (xvii, 330 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index Introductory examples of homogenization method. Long waves in a layered elastic medium ; Short waves in a weakly stratified elastic medium ; Dispersion of passive solute in pipe flow ; Typical procedure of homogenization analysis -- Diffusion in a composite. Basic equations for two components in perfect contact ; Effective equation on the macroscale ; Effective boundary condition ; Symmetry and positiveness of effective conductivity ; Laminated composites ; Bounds for effective conductivity ; Hashin-Shtrikman bounds ; Other approximate results for dilute inclusions ; Thermal resistance at the interface ; Laminated composites with thermal resistance ; Bounds for the effective conductivity ; Chemical transport in aggregated soil ; Appendix 2A : heat transfer in a two-slab system -- - Seepage in rigid porous media. Equations for seepage flow and Darcy's law ; Uniqueness of the cell boundary-value problem ; Symmetry and positiveness of hydraulic conductivity ; Numerical computation of the permeability tensor ; Seepage of a compressible fluid ; Two-dimensional flow through a three-dimensional matrix ; Porous media with three scales ; Brinkman's modification of Darcy's law ; Effects of weak fluid intertia ; Appendix 3A : spatial averaging theorem -- Dispersion in periodic media or flows. Passive solute in a two-scale seepage flow ; Macrodispersion in a three-scale porous medium ; Dispersion and transport in a wave boundary layer above the seabed ; Appendix 4A : derivation of convection-dispersion equation ; Appendix 4B : an alternate form of macrodispersion tensor -- - Heterogeneous elastic materials. effective equations on the macroscale ; The effective elastic coefficients ; Application to fiber-reinforced composite ; Elastic panels with periodic microstructure ; Variational principles and bounds for the elastic moduli ; Hashin-Shtrikman bounds ; Partially cohesive composites ; Appendix 5A : properties of a tensor of fourth rank -- Deformable porous media. Basic equations for fluid and solid phases ; Scale estimates ; Multiple-scale expansions ; Averaged total momentum of the composite ; Averaged mass conservation of fluid phase ; Averaged fluid momentum ; Time-Harmonic motion ; Properties of the effective coefficients ; Computed elastic coefficients ; Boundary-layer approximation for macroscale problems ; Appendix 6A : properties of the compliance tensor ; Appendix 6B : variational principle for the elastostatic problem in a cell -- - Wave propagation in inhomogeneous media. Long wave through a compact cylinder array ; Bragg scattering of short waves by a cylinder array ; Sound propagation in a bubbly liquid ; One-dimensional sound through a weakly random medium ; Weakly nonlinear dispersive waves in a random medium ; Harmonic generation in random media In many physical problems several scales present either in space or in time, caused by either 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 Homogenizati Mathematics MATHEMATICS / Differential Equations / Partial bisacsh Mathematik Mathematische Physik Homogenization (Differential equations) Mathematical physics Homogenisierung Mathematik (DE-588)4403079-4 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Homogenisierungsmethode (DE-588)4257770-6 gnd rswk-swf Mehrskalenanalyse (DE-588)4416235-2 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 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=374875 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mei, Chiang C. Homogenization methods for multiscale mechanics Mathematics MATHEMATICS / Differential Equations / Partial bisacsh Mathematik Mathematische Physik Homogenization (Differential equations) Mathematical physics Homogenisierung Mathematik (DE-588)4403079-4 gnd Mathematische Physik (DE-588)4037952-8 gnd Homogenisierungsmethode (DE-588)4257770-6 gnd Mehrskalenanalyse (DE-588)4416235-2 gnd |
| subject_GND | (DE-588)4403079-4 (DE-588)4037952-8 (DE-588)4257770-6 (DE-588)4416235-2 |
| 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 | Mathematics MATHEMATICS / Differential Equations / Partial bisacsh Mathematik Mathematische Physik Homogenization (Differential equations) Mathematical physics Homogenisierung Mathematik (DE-588)4403079-4 gnd Mathematische Physik (DE-588)4037952-8 gnd Homogenisierungsmethode (DE-588)4257770-6 gnd Mehrskalenanalyse (DE-588)4416235-2 gnd |
| topic_facet | Mathematics MATHEMATICS / Differential Equations / Partial Mathematik Mathematische Physik Homogenization (Differential equations) Mathematical physics Homogenisierung Mathematik Homogenisierungsmethode Mehrskalenanalyse |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=374875 |
| work_keys_str_mv | AT meichiangc homogenizationmethodsformultiscalemechanics AT vernescubogdan homogenizationmethodsformultiscalemechanics |