Аннотация:
To construct constitutive equations for hyperelastic materials, one increasingly often proposes new strain measures, which result in significant simplifications and error reduction in experimental data processing. One such strain measure is based on the upper triangular (QR) decomposition of the deformation gradient. We describe a finite element method for solving nonlinear elasticity problems in the framework of finite strains for the case in which the constitutive equations are written with the use of the QR-decomposition of the deformation gradient. The method permits developing an efficient, easy-to-implement tool for modeling the stress–strain state of any hyperelastic material. © 2018, Pleiades Publishing, Ltd.
Salamatova V. Yu. Viktoriya Yuryevna 1985-
Vasilevskij Yu. V. Yurij Viktorovich 1967-
Wang L.
Саламатова В. Ю. Виктория Юрьевна 1985-
Василевский Ю. В. Юрий Викторович 1967-
Wанг Л.
Finite Element Models of Hyperelastic Materials Based on a New Strain Measure
Текст визуальный непосредственный
Differential Equations
Pleiades Publishing, Ltd.
Vol.54, Issue7 P. 971-978
2018
Статья
To construct constitutive equations for hyperelastic materials, one increasingly often proposes new strain measures, which result in significant simplifications and error reduction in experimental data processing. One such strain measure is based on the upper triangular (QR) decomposition of the deformation gradient. We describe a finite element method for solving nonlinear elasticity problems in the framework of finite strains for the case in which the constitutive equations are written with the use of the QR-decomposition of the deformation gradient. The method permits developing an efficient, easy-to-implement tool for modeling the stress–strain state of any hyperelastic material. © 2018, Pleiades Publishing, Ltd.