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
URN (permanent link):urn:nbn:de:hbz:386-kluedo-21274
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
Tag:anisotropic plasticity; configurational mechanics; continuum mechanics; growth and remodelling; theory of materials
Faculties / Organisational entities:Fachbereich Maschinenbau und Verfahrenstechnik
DDC-Cassification:620 Ingenieurwissenschaften und zugeordnete Tätigkeiten
MSC-Classification (mathematics):74A05 Kinematics of deformation
74C15 Large-strain, rate-independent theories (including nonlinear plasticity)
74C20 Large-strain, rate-dependent theories
74L15 Biomechanical solid mechanics [See also 92C10]
74S05 Finite element methods

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