TY - JOUR

T1 - Thermomechanical discussions on constitutive equations for plastic spin and back stress in a theory of dislocation drift rate

AU - Shizawa, Kazuyuki

AU - Wakabayashi, Hiroki

PY - 2000

Y1 - 2000

N2 - A thermomechanical theory of elastoplasticity, including kinematic hardening at finite strain, is developed by introducing the concept of dislocation density tensor. The theory is self-consistent and is based on two fundamental principles, the principle of increase of entropy and the maximal entropy production rate. The thermomechanically consistent constitutive equations for plastic deformation rate, plastic spin and dislocation drift rate are rigorously derived. Constitutive equation of the plastic spin is directly obtained by taking account of a work associating with plastic spin and deriving stress. An expression for the back stress is given as a balance equation expressing equilibrium between internal stress and microstress conjugate to the dislocation density tensor. Moreover, it is shown that the present theory is sufficiently consistent with the theory of non-Riemannian plasticity.

AB - A thermomechanical theory of elastoplasticity, including kinematic hardening at finite strain, is developed by introducing the concept of dislocation density tensor. The theory is self-consistent and is based on two fundamental principles, the principle of increase of entropy and the maximal entropy production rate. The thermomechanically consistent constitutive equations for plastic deformation rate, plastic spin and dislocation drift rate are rigorously derived. Constitutive equation of the plastic spin is directly obtained by taking account of a work associating with plastic spin and deriving stress. An expression for the back stress is given as a balance equation expressing equilibrium between internal stress and microstress conjugate to the dislocation density tensor. Moreover, it is shown that the present theory is sufficiently consistent with the theory of non-Riemannian plasticity.

KW - Back stress

KW - Constitutive equation

KW - Dislocation density

KW - Non-riemannian plasticity

KW - Plastic spin

KW - Plasticity

KW - Rational mechanics

KW - Thermomechanics

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U2 - 10.1299/kikaia.66.1290

DO - 10.1299/kikaia.66.1290

M3 - Article

AN - SCOPUS:71449112695

SN - 0387-5008

VL - 66

SP - 1290

EP - 1296

JO - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A

JF - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A

IS - 647

ER -