Polycrystals multilevel models using crystal plasticity: consistency of constitutive equations at different scale levels

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Shveykin, A.I.^1 ; Trusov, P.V.^1 ; Volegov, P.S.^1

Perm National Research Polytechnic University, Mathematical Modeling of Systems and Processes, Komsomolsky ave., 29, Perm, Russia^1

关键词: Algorithm for solving;    Cauchy stress tensors;    Different scale levels;    Geometric non-linearity;    Inelastic deformation;    Intragranular dislocation;    Numerical investigations;    Polycrystalline metals;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012166/pdf
DOI  :  10.1088/1742-6596/490/1/012166

来源: IOP

【 摘 要 】

Two-level models of different polycrystalline metal's inelastic deformation based on crystal plasticity and describing viscoplastic intragranular dislocations slip, lattice rotation with an explicit consider of dislocation slip incompatibility in neighboring grains, and fragmentation of crystallites are developed. The homogenization of constitutive equations at various scale levels is used, which allows to connect the same type of characteristics of different scale levels and leads to an unambiguous description of geometric nonlinearity on the macro level by specifying the corotational derivative of Cauchy stress tensor. An algorithm for solving boundary value problems in FEM package Abaqus with using proposed models to describe the behavior of the material is developed, corresponding computational modules are created. Numerical investigation of different loading of samples from various polycrystalline metals with a description of the evolving internal structure is done.