### Abstract

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.

Original language | English |
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Pages (from-to) | 1290-1296 |

Number of pages | 7 |

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

Volume | 66 |

Issue number | 647 |

Publication status | Published - 2000 |

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### Keywords

- Back stress
- Constitutive equation
- Dislocation density
- Non-riemannian plasticity
- Plastic spin
- Plasticity
- Rational mechanics
- Thermomechanics

### ASJC Scopus subject areas

- Mechanical Engineering
- Mechanics of Materials
- Materials Science(all)

### Cite this

**Thermomechanical discussions on constitutive equations for plastic spin and back stress in a theory of dislocation drift rate.** / Shizawa, Kazuyuki; Wakabayashi, Hiroki.

Research output: Contribution to journal › Article

*Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A*, vol. 66, no. 647, pp. 1290-1296.

}

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

UR - http://www.scopus.com/inward/record.url?scp=71449112695&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=71449112695&partnerID=8YFLogxK

M3 - Article

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

SN - 0387-5008

IS - 647

ER -