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Title Continuous media with microstructure / Bettina Albers, editor.
Imprint Berlin : Springer, 2010.

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View online
Subject Microstructure.
Microstructure -- Mathematical models.
Alt Name Albers, Bettina,
Wilmański, Krzysztof.
Description 1 online resource (xxii, 389 pages) : illustrations
Bibliography Note Includes bibliographical references and indexes.
Contents PART I SCIENTIFIC LIFE OF PROF. DR. KRZYSZTOF WILMANSKI -- Curriculum Vitae of Prof. Dr. K. Wilmanski -- Publications of Prof. Dr. K. Wilmanski.
PART II THERMODYNAMIC MODELING -- On Pore Fluid Pressure and Effective Solid Stress in the Mixture Theory of Porous Media / I-Shih Liu -- An Extrapolation of Thermodynamics to Evolutionary Genetics / Ingo Muller -- Some Recent Results on Multi-temperature Mixture of Fluids / Tommaso Ruggeri.
PART III EXTENSIONS OF CONSTITUTIVE LAWS -- Hypocontinua / Gianfranco Capriz -- On Constitutive Choices for Smectic Elastomers / Pasquale Giovine -- A Note on the Representation of Cosserat Rotation / J.D. Goddard -- Material Uniformity and the Concept of the Stress Space / Serge Preston, Marek El˙zanowski -- Coupled Nonlinear Thermoelastic Equations for an Orthotropic Beam with Thermal and Viscous Dissipation / M.B. Rubin -- On the Mathematical Modelling of Functionally Graded Composites with a Determistinic Microstructure / Czesaw Wozniak, Jowita Rychlewska.
PART IV MICRO- AND NANOSCALE MECHANICS -- On the Derivation of Biological Tissue Models from Kinetic Models of Multicellular Growing Systems / N. Bellomo, A. Bellouquid, E. De Angelis -- Instabilites in Arch Shaped MEMS / K. Das, R.C. Batra -- Towards Poroelasticity of Fractal Materials / M. Ostoja-Starzewski -- The Maxwell Problem (Mathematical Aspects) / Evgeniy V. Radkevich -- Continuum-Molecular Modeling of Nanostructured Materials / Gwidon Szefer, Dorota Jasinska.
PART V WAVES -- Linear Wave Propagation in Unsaturated Rocks and Soils / Bettina Albers -- Explicit Solution Formulas for the Acoustic Diffraction Problem with a Slit in a Hard and a Soft Screen / Matthias Kunik -- On the Stability of the Inversion of Measured Seismic Wave Velocities to Estimate Porosity in Fluid-Saturated Porous Media / Carlo G. Lai, Jorge G.F. Crempien de la Carrera -- On Two Insufficiently Exploited Conservation Laws in Continuum Mechanics: Canonical Momentum and Action / G.A. Maugin, M. Rousseau -- Waves and Dislocations / ukasz A. Turski.
PART VI PHASE TRANSITIONS -- Liquid-Solid Phase Transitions in a Deformable Container / Pavel Krejci, Elisabetta Rocca, Jurgen Sprekels -- Composite Beams with Embedded Shape Memory Alloy / Mieczysaw Kuczma -- Microstructures in the Ti50Ni50-xPdx Alloys' Cubic-to-Orthorhombic Phase Transformation: A -- Proposed Energy Landscape / Mario Pitteri.
PART VII GRANULAR MEDIA -- Analysis of Shear Banding with a Hypoplastic Constitutive Model for a Dry and Cohesionless Granular Material / Erich Bauer -- Principal Axes and Values of the Dispersion Coefficient in the 2D Axially Symmetric Porous Medium / Leonid G. Fel, Jacob Bear -- The Importance of Sand in Earth Sciences / Dimitrios Kolymbas.
Summary The contributions to the book concern various aspects of extension of classical continuum models. These extensions are related to the appearance of microstructures both natural as well as these created by processes. To the first class belong various thermodynamic models of multicomponent systems such as porous materials, composites, materials with microscopic heterogeneities. To the second class belong primarily microstructures created by phase transformations. Invited authors cover both fields of thermodynamic modeling and mathematical analysis of such continua with microstructure. In particular the following subjects are covered: thermodynamic modeling of saturated and unsaturated porous and granular media, linear and nonlinear waves in such materials, extensions of constitutive laws by internal variables, higher gradients and nonequilibrium fields, stochastic processes in porous and fractal materials, thermodynamic modeling of composite materials, mathematical analysis of multicomponent systems, phase transformations in solids.
Note Print version record and online resource. Titles from PDF cover and title page (SpringerLink, viewed March 9, 2017).
ISBN 9783642114458 (electronic bk.)
3642114458 (electronic bk.)
9783642114441 (hbk.)
364211444X (hbk.)
OCLC # 630107753
Additional Format Print version: Continuous media with microstructure. Berlin : Springer, 2010 9783642114441 364211444X (OCoLC)503649549

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