An implicit three-dimensional model for describing the inelastic response of solids undergoing finite deformation

DOI10.1007/s00033-016-0671-xzbMath1359.74053OpenAlexW2467655825MaRDI QIDQ520479

Arun R. Srinivasa, Kumbakonam R. Rajagopal

Publication date: 3 April 2017

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-016-0671-x

zbMATH Keywords

large deformationMullins effectplasticityfinite deformationinelasticityhypoelasticityimplicit theoryrate-independent response

Mathematics Subject Classification ID

Nonlinear constitutive equations for materials with memory (74D10)

Related Items (9)

On the use of convected coordinate systems in the mechanics of continuous media derived from a \(\mathbf{QR}\) factorization of \textsf{F} ⋮ A three-dimensional implicit constitutive relation for a body exhibiting stress softening. I: Theoretical underpinnings ⋮ A three-dimensional implicit constitutive relation to describe stress softening. II: Analysis of some boundary value problems ⋮ A spectral approach for nonlinear transversely isotropic elastic bodies, for a new class of constitutive equation: applications to rock mechanics ⋮ New classes of electro-elastic and thermo-electro-elastic bodies that are not Green elastic ⋮ A note on the derivation of quotient rules and their use in \textbf{QR} kinematics ⋮ A thermodynamic basis for implicit rate-type constitutive relations describing the inelastic response of solids undergoing finite deformation ⋮ A thermodynamic approach to rate-type models of elastic-plastic materials ⋮ A model for a solid undergoing rate-independent dissipative mechanical processes

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