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MAB
Advances in Extended and Multifield Theories for Continua
Kategorie
Beschreibung
036a
XA-DE‡XD-US
037b
eng
077a
349615470 Buchausg. u.d.T.: ‡Advances in extended and multifield theories for continua
087q
978-3-642-22737-0
100
Markert, Bernd
331
Advances in Extended and Multifield Theories for Continua
410
Berlin, Heidelberg
412
Springer Berlin Heidelberg
425
2011
425a
2011
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
540a
ISBN 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
125a
Elektronischer Volltext - Campuslizenz
655e
$uhttp://dx.doi.org/10.1007/978-3-642-22738-7
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