Frontiers in Inelastic Continuum Mechanics

  • The main goal of this work is to examine various aspects of `inelastic continuum mechanics': first, fundamental aspects of a general finite deformation theory based on a multiplicative decomposition of the deformation gradient with special emphasis on the incompatibility of the so-called intermediate configuration are discussed in detail. Moreover, various balance of linear momentum representations together with the corresponding volume forces are derived in a configurational mechanics context. Subsequent chapters are consequently based on these elaborations so that the applied multiplicative decomposition generally serves as a fundamental modelling concept in this work; after generalised strain measures are introduced, a kinematic hardening model coupled with anisotropic damage, a substructure evolution framework as well as two different growth and remodelling formulations for biological tissues are presented.

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Author:Andreas Menzel
Advisor:Paul Steinmann
Document Type:Habilitation
Language of publication:English
Year of Completion:2007
Year of Publication:2007
Publishing Institute:Technische Universität Kaiserslautern
Granting Institute:Technische Universität Kaiserslautern
Acceptance Date of the Thesis:2006/05/31
Date of the Publication (Server):2007/09/25
Tag:anisotropic plasticity; configurational mechanics; continuum mechanics; growth and remodelling; theory of materials
Faculties / Organisational entities:Kaiserslautern - Fachbereich Maschinenbau und Verfahrenstechnik
DDC-Cassification:6 Technik, Medizin, angewandte Wissenschaften / 620 Ingenieurwissenschaften und Maschinenbau
MSC-Classification (mathematics):74-XX MECHANICS OF DEFORMABLE SOLIDS / 74Axx Generalities, axiomatics, foundations of continuum mechanics of solids / 74A05 Kinematics of deformation
74-XX MECHANICS OF DEFORMABLE SOLIDS / 74Cxx Plastic materials, materials of stress-rate and internal-variable type / 74C15 Large-strain, rate-independent theories (including nonlinear plasticity)
74-XX MECHANICS OF DEFORMABLE SOLIDS / 74Cxx Plastic materials, materials of stress-rate and internal-variable type / 74C20 Large-strain, rate-dependent theories
74-XX MECHANICS OF DEFORMABLE SOLIDS / 74Lxx Special subfields of solid mechanics / 74L15 Biomechanical solid mechanics [See also 92C10]
74-XX MECHANICS OF DEFORMABLE SOLIDS / 74Sxx Numerical methods [See also 65-XX, 74G15, 74H15] / 74S05 Finite element methods
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011