Homogenization methods for multiscale mechanics
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| 格式: | 电子 电子书 |
| 语言: | 英语 |
| 出版: |
Hackensack, N.J. :
World Scientific,
2010.
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| 在线阅读: | An electronic book accessible through the World Wide Web; click to view |
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| 100 | 1 | |a Mei, Chiang C. | |
| 245 | 1 | 0 | |a Homogenization methods for multiscale mechanics |h [electronic resource] / |c Chiang C. Mei, Bogdan Vernescu. |
| 260 | |a Hackensack, N.J. : |b World Scientific, |c 2010. | ||
| 300 | |a xvii, 330 p. : |b ill. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |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 -- 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. | |
| 533 | |a Electronic reproduction. |b Palo Alto, Calif. : |c ebrary, |d 2013. |n Available via World Wide Web. |n Access may be limited to ebrary affiliated libraries. | ||
| 650 | 0 | |a Homogenization (Differential equations) | |
| 650 | 0 | |a Mathematical physics. | |
| 655 | 7 | |a Electronic books. |2 local | |
| 700 | 1 | |a Vernescu, Bogdan. | |
| 710 | 2 | |a ebrary, Inc. | |
| 856 | 4 | 0 | |u http://site.ebrary.com/lib/daystar/Doc?id=10480003 |z An electronic book accessible through the World Wide Web; click to view |
| 908 | |a 170314 | ||
| 942 | 0 | 0 | |c EB |
| 999 | |c 125265 |d 125265 | ||