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Advances in Extended and Multifield Theories for Continua
Kategorie Beschreibung
036aXA-DE‡XD-US
037beng
077a349615470 Buchausg. u.d.T.: ‡Advances in extended and multifield theories for continua
087q978-3-642-22737-0
100 Markert, Bernd
331 Advances in Extended and Multifield Theories for Continua
410 Berlin, Heidelberg
412 Springer Berlin Heidelberg
425 2011
425a2011
433 Online-Ressource (XX, 220p. 79 illus., 76 illus. in color, digital)
451 Lecture Notes in Applied and Computational Mechanics ; 59
454 Lecture notes in applied and computational mechanics
455 59
501 Includes bibliographical references and index
517 Title; Preface; Contents; List of Authors; Continuum Thermodynamic and Rate Variational Formulation of Models for Extended Continua; Introduction; Energy Balance and Basic Constitutive Assumptions; Euclidean Frame-Indifference of the Energy Balance; Material Frame-Indifference of the Free Energy Density; Dissipation Principle and Reduced Evolution-Field Relations; Variational Formulation; Discussion; References; From Lattice Models to Extended Continua; Introduction; Lattice Models; Extended Continuum Theories; Parameter Identification; Conclusions and Outlook; References. Rotational Degrees of Freedom in Modeling Materials with Intrinsic Length ScaleIntroduction; Non-standard Continua for Modeling Materials with Microstructure; Homogenization of 1D Structures; Homogenization by Differential Expansions in 3D; Cosserat Model of Layered Materials with Sliding Layers and Stress Concentrations; Path-Independent Integrals in Cosserat Continuum; Conclusions; References; Micromorphic vs. Phase-Field Approaches for Gradient Viscoplasticity and Phase Transformations; Introduction; Thermomechanics with Additional Degrees of Freedom. Constitutive Framework for Gradient and Micromorphic ViscoplasticityPhase-Field Models for ElastoviscoplasticMaterials; Conclusion; References; Geometrically Nonlinear Continuum Thermomechanics Coupled to Diffusion: A Framework for Case II Diffusion; Introduction; Preliminaries: Notation and Key Concepts; Governing Equations; Key Features of the Helmholtz Energy Required to Reproduce Case II Diffusion; Discussion and Conclusions; References; Effctive Electromechanical Properties of Heterogeneous Piezoelectrics; Introduction; Boundary Value Problems on the Macro- and the Mesoscale. Effective Properties of Piezoelectric MaterialsNumerical Example; Conclusion; References; Coupled Thermo- and Electrodynamics of Multiphasic Continua; Mixture and Porous Media Theories; Kinematical Relations; Some Aspects of Electrodynamics; Balance Relations; Conclusion; References; Ice Formation in Porous Media; Introduction; Basics; Simplified Quadruple Model; Examples; Conclusion; References; Optical Measurements for a Cold-Box Sand and Aspects of Direct and Inverse Problems for Micropolar Elasto-Plasticity; Introduction; Specimens and Testing Equipment. Uniaxial Compression and Tension TestsThermo-Mechanical Characterization; Triaxial Characterization; Modeling of Micropolar Continua; Direct and Inverse Problems for Micropolar Solids; Summary and Outlook; References; Model Reduction for Complex Continua - At the Example of Modeling Soft Tissue in the Nasal Area; Indroduction; Model Reduction for Non-linear Structural Mechanics; Biomechanical Structural Applications; Conclusion; References; Author Index;
527 Buchausg. u.d.T.: ‡Advances in extended and multifield theories for continua
540aISBN 978-3-642-22738-7
700 |TG
700 |TEC009070
700 |TEC021000
700b|620.1
700b|531
700c|TA405-409.3
700c|QA808.2
750 Bernd Markert
753 Modern computational techniques, such as the Finite Element Method, have, since their development several decades ago, successfully exploited continuum theories for numerous applications in science and technology. Although standard continuum methods based upon the Cauchy-Boltzmann continuum are still of great importance and are widely used, it increasingly appears that material properties stemming from microstructural phenomena have to be considered. This is particularly true for inhomogeneous load and deformation states, where lower-scale size effects begin to affect the macroscopic material
902s 20899632X Kontinuumsmechanik
902s 257738983 Mehrfeldproblem
902f |Aufsatzsammlung
012 348702140
081 Markert, Bernd <P>: Advances in Extended and Multifield Theories for Continua
100 Springer E-Book
125aElektronischer Volltext - Campuslizenz
655e$uhttp://dx.doi.org/10.1007/978-3-642-22738-7
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