Geometrically Nonlinear Constitutive Equations of the Plastic Flow Theory in Terms of Asymmetric Stress and Strain Measures

21st Winter School on Continuous Media Mechanics

计算机技术

Yants, A Yu^1 ; Trusov, P.V.^1

Perm National Research Polytechnic University, Komsomolsky pr. 29a, Perm, Russia^1

关键词: Co-ordinate system;    Deformation gradients;    Elastic distortion;    Geometrically nonlinear;    Orthogonal tensors;    Plastic flow theory;    Plastic strain gradients;    Representative volume element (RVE);   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/581/1/012034/pdf
DOI  :  10.1088/1757-899X/581/1/012034

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

A formulation of the geometrically nonlinear plastic flow theory (PFT) based on asymmetric measures of stress and strain states is proposed. A main emphasis is placed on the physically reasonable decomposition of the deformation gradient into three components: elastic distortions, which determine stresses, an orthogonal tensor characterizing the quasi-rigid motion of a material and the plastic strain gradient. The quasi-rigid motion of the material is defined by introducing for a representative volume element a generalized lattice, which represents its symmetry elements. The hypoelastic anisotropic law is introduced in terms of the movable coordinate system associated with the material. The rate of plastic deformations is determined by the associated law of plastic flow. As a result, the closed system of constitutive equations of the geometrically nonlinear PFT of is obtained.