Numerical investigation of large strains of hyperelastic solids

11th International Conference on "Mesh methods for boundary-value problems and applications"

Fakhrutdinov, L.R.^1 ; Sultanov, L.U.^1

Kazan Federal University, 18 Kremlyovskaya str., Kazan, Russia^1

关键词: Cauchy stress;    Cauchy stress tensors;    Cauchy-Green tensors;    Deformation gradient tensors;    Incremental method;    Nonlinear problems;    Numerical investigations;    Physical equations;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/158/1/012031/pdf
DOI  :  10.1088/1757-899X/158/1/012031

来源: IOP

【 摘 要 】

The work is concerned with numerical investigation of large deformations of hyperelastic solids. The kinematics of continua is described in terms of the deformation gradient tensor and left Cauchy-Green tensor. The stress state is described by the Cauchy stress tensor. An incremental method is used to solve the nonlinear problems. The linearized physical equations for the Cauchy stresses for Mooney-Rivlin material are given.