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Deformation gradient based kinematic hardening model

Författare

Summary, in English

A kinematic hardening model applicable to finite strains is presented. The kinematic hardening concept is based on the residual stresses that evolve due to different obstacles that are present in a polycrystalline material, such as grain boundaries, cross slips, etc. Since these residual stresses are a manifestation of the distortion of the crystal lattice a corresponding deformation gradient is introduced to represent this distortion. The residual stresses are interpreted in terms of the form of a back-stress tensor, i.e. the kinematic hardening model is based on a deformation gradient which determines the back-stress tensor. A set of evolution equations is used to describe the evolution of the deforrnation gradient. Non-dissipative quantities are allowed in the model and the implications of these are discussed. Von Mises plasticity for which the uniaxial stress-strain relation can be obtained in closed form serves as a model problem. For uniaxial loading, this model yields: a kinematic hardening identical to the hardening produced by isotropic exponential hardening. The numerical implementation of the model is discussed. Finite element simulations showing the capabilities of the model are presented.

Avdelning/ar

Publiceringsår

2005

Språk

Engelska

Sidor

2025-2050

Publikation/Tidskrift/Serie

International Journal of Plasticity

Volym

21

Issue

10

Dokumenttyp

Artikel i tidskrift

Förlag

Elsevier

Ämne

  • Mechanical Engineering

Nyckelord

  • finite strain plasticity
  • non-linear kinematic hardening
  • exponential
  • update

Status

Published

ISBN/ISSN/Övrigt

  • ISSN: 0749-6419