Method of investigation of deformations of solids of incompressible materials

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

Abdrakhmanova, A.I.^1 ; Garifullin, I.R.^1 ; Sultanov, L.U.^1

Kazan Federal University, 18 Kremlyovskaya Street, Kazan

420008, Russia^1

关键词: Elastic solids;    Energy of deformation;    Incompressible material;    IS development;    Linear algebraic equation;    Numerical solution;    Penalty methods;    Stress strain state;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/158/1/012001/pdf
DOI  :  10.1088/1757-899X/158/1/012001

来源: IOP

【 摘 要 】

The aim of this work is development mathematical models, algorithm for the investigation stress-strain state of elastic solids, taking into account the incompressibility materials. The constitutive equations are received using a potential energy of deformations. The system of the linear algebraic equations is received by linearization of a resolving equation. The penalty method is applied for a modelling of the incompressibility of the material. The finite element method is used for numerical solution of the problems.