| Description |
1 online resource (xxii, 389 pages) : illustrations |
| Contents |
PART I SCIENTIFIC LIFE OF PROF. DR. KRZYSZTOF WILMAŃSKI -- Curriculum Vitae of Prof. Dr. K. Wilmański -- Publications of Prof. Dr. K. Wilmański |
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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 Müller -- Some Recent Results on Multi-temperature Mixture of Fluids / Tommaso Ruggeri |
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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 / Czesław Woźniak, Jowita Rychlewska |
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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 Jasińska |
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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 / Łukasz A. Turski |
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PART VI PHASE TRANSITIONS -- Liquid-Solid Phase Transitions in a Deformable Container / Pavel Krejčí, Elisabetta Rocca, Jürgen Sprekels -- Composite Beams with Embedded Shape Memory Alloy / Mieczysław Kuczma -- Microstructures in the Ti50Ni50-xPdx Alloys' Cubic-to-Orthorhombic Phase Transformation: A -- Proposed Energy Landscape / Mario Pitteri |
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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 |
| Analysis |
materialen |
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materials |
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biofysica |
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biophysics |
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mechanica |
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mechanics |
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engineering |
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Engineering (General) |
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Techniek (algemeen) |
| Bibliography |
Includes bibliographical references and indexes |
| Notes |
Print version record and online resource. Titles from PDF cover and title page (SpringerLink, viewed March 9, 2017) |
| In |
Springer eBooks |
| Subject |
Microstructure.
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Microstructure -- Mathematical models
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microstructure.
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TECHNOLOGY & ENGINEERING -- Engineering (General)
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TECHNOLOGY & ENGINEERING -- Reference.
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Ingénierie.
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Microstructure
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Microstructure -- Mathematical models
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| Genre/Form |
Festschriften
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Festschriften.
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| Form |
Electronic book
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| Author |
Albers, Bettina, editor
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Wilmański, Krzysztof.
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| ISBN |
9783642114458 |
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3642114458 |
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