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008 110401s2010 njua sb 001 0 eng d
010 _z 2011280059
020 _z9814282448
020 _z9789814282444
020 _z9789814282451 (e-book)
035 _a(CaPaEBR)ebr10480003
035 _a(OCoLC)740444832
040 _aCaPaEBR
_cCaPaEBR
050 1 4 _aQA377
_b.M45 2010eb
082 0 4 _a515.3/53
_222
100 1 _aMei, Chiang C.
245 1 0 _aHomogenization methods for multiscale mechanics
_h[electronic resource] /
_cChiang C. Mei, Bogdan Vernescu.
260 _aHackensack, N.J. :
_bWorld Scientific,
_c2010.
300 _axvii, 330 p. :
_bill.
504 _aIncludes bibliographical references and index.
505 0 _aIntroductory 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 _aElectronic reproduction.
_bPalo Alto, Calif. :
_cebrary,
_d2013.
_nAvailable via World Wide Web.
_nAccess may be limited to ebrary affiliated libraries.
650 0 _aHomogenization (Differential equations)
650 0 _aMathematical physics.
655 7 _aElectronic books.
_2local
700 1 _aVernescu, Bogdan.
710 2 _aebrary, Inc.
856 4 0 _uhttp://site.ebrary.com/lib/daystar/Doc?id=10480003
_zAn electronic book accessible through the World Wide Web; click to view
908 _a170314
942 0 0 _cEB
999 _c125265
_d125265