Homogenization methods for multiscale mechanics:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Hackensack, N.J.
World Scientific
2010
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Schlagworte: | |
Beschreibung: | xvii, 330 p. |
ISBN: | 9814282448 9789814282444 9789814282451 |
Internformat
MARC
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082 | 0 | |a 515.3/53 |2 22 | |
100 | 1 | |a Mei, Chiang C. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Homogenization methods for multiscale mechanics |c Chiang C. Mei, Bogdan Vernescu |
264 | 1 | |a Hackensack, N.J. |b World Scientific |c 2010 | |
300 | |a xvii, 330 p. | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
505 | 8 | |a Includes bibliographical references and index | |
505 | 8 | |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 -- | |
505 | 8 | |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 -- | |
505 | 8 | |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 -- | |
505 | 8 | |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 | |
650 | 4 | |a Homogenization (Differential equations) | |
650 | 4 | |a Mathematical physics | |
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Datensatz im Suchindex
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---|---|
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 | BV044845843 |
collection | ZDB-38-ESG |
contents | 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 |
ctrlnum | (ZDB-38-ESG)ebr10480003 (OCoLC)838896866 (DE-599)BVBBV044845843 |
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.BV044845843 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T08:02:41Z |
institution | BVB |
isbn | 9814282448 9789814282444 9789814282451 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030240705 |
oclc_num | 838896866 |
open_access_boolean | |
physical | xvii, 330 p. |
psigel | ZDB-38-ESG |
publishDate | 2010 |
publishDateSearch | 2010 |
publishDateSort | 2010 |
publisher | World Scientific |
record_format | marc |
spelling | Mei, Chiang C. Verfasser aut Homogenization methods for multiscale mechanics Chiang C. Mei, Bogdan Vernescu Hackensack, N.J. World Scientific 2010 xvii, 330 p. 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 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 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Mei, Chiang C. Homogenization methods for multiscale mechanics 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 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 |
work_keys_str_mv | AT meichiangc homogenizationmethodsformultiscalemechanics AT vernescubogdan homogenizationmethodsformultiscalemechanics |