Continuous Media with Microstructure 2

"This book presents research advances in the field of Continuous Media with Microstructure and considers the three complementary pillars of mechanical sciences: theory, research and computational simulation. It focuses on the following problems: thermodynamic and mathematical modeling of materials with extensions of classical constitutive laws, single and multicomponent media including modern multifunctional materials, wave propagation, multiscale and multiphysics processes, phase transformations, and porous, granular and composite materials. The book presents the proceedings of the 2nd Conference on Continuous Media with Microstructure, which was held in 2015 in Łagów, Poland, in memory of Prof. Krzysztof Wilmański" -- OhioLink Library Catalog Front Matter....Pages i-xv Krzysztof Wilmanski (1940–2012)....Pages 1-7 Front Matter....Pages 9-9 Virtual Power and Pseudobalance Equations for Generalized Continua....Pages 11-21 Hypocontinua....Pages 23-43 Some Remarks to Higher Order Frames Occurring in Continuum Mechanics....Pages 45-52 On the Origin of Balance Equations in Simple and Complex Continua: Unified View....Pages 53-76 A Refined Theory of the Layered Medium with the Slip at the Interface....Pages 77-94 Affinely Rigid Body and Affine Invariance in Physics....Pages 95-118 Front Matter....Pages 119-119 An Alternative to the Allen-Cahn Phase Field Model for Interfaces in Solids—Numerical Efficiency....Pages 121-136 Thermoelastic Waves in Microstructured Solids....Pages 137-150 Unconventional Thermodynamical Model of Processes in Material Structures....Pages 151-160 A Monatomic Ideal Gas—Prototype of a Continuous Medium with Microstructure....Pages 161-173 From Second Law Violations to Continuum Mechanics....Pages 175-186 Phase Change Materials and Thermochemical Materials for Large-Scale Energy Storage....Pages 187-197 Distribution of Temperature in Multicomponent Multilayered Composites....Pages 199-214 Front Matter....Pages 215-215 Hysteresis in Unsaturated Porous Media—Two Models for Wave Propagation and Engineering Applications....Pages 217-229 Simulation of the Influence of Grain Damage on the Evolution of Shear Strain Localization....Pages 231-244 Non-hydrostatic Free Surface Flows: Saint Venant Versus Boussinesq Depth Integrated Dynamic Equations for River and Granular Flows....Pages 245-265 A Mixture Theory of Porous Media and Some Problems of Poroelasticity....Pages 267-285 Plane Waves, Uniqueness Theorems and Existence of Eigenfrequencies in the Theory of Rigid Bodies with a Double Porosity Structure....Pages 287-306 Seismic Response of Poroelastic Graded Geological Region with Underground Structures by BIEM....Pages 307-321 Front Matter....Pages 323-323 Determination of Foundation Coefficients for a 2-Parameter Model on the Basis of Railway Sleeper Deflection....Pages 325-341 Orthotropic Parameters of PU Foam Used in Sandwich Panels....Pages 343-353 Numerical Elastic-Plastic Model of RPC in the Plane Stress State....Pages 355-366 Causal Damping Ratio Spectra and Dispersion Functions in Geomaterials from the Exact Solution of Kramers-Kronig Equations of Viscoelasticity....Pages 367-382 A Study of Deformation and Failure of Unidirectional Fiber-Reinforced Polymers Under Transverse Loading by Means of Computational Micromechanics....Pages 383-396 The Dynamic Modelling of Thin Skeletonal Annular Plates....Pages 397-418 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. "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 multicompetent 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."--Jacket