Investigation toward Practical Use into Incompressible Hyperelastic Material Analysis using GSMAC-FEM

(Application of Higher-Order Elements and Introduction of Stiffening Property)

Abstract

In the present paper, incompressible hyperelastic materials are analyzed using GSMAC-FEM that is a kind of decoupled FEM. Higher-order elements are applied to GSMAC-FEM, and stiffening property of rubber undergoing large deformation is introduced in order to use this computational method in practical problems. The accuracy of simple deformations is verified by using various elements in two-dimensional or three-dimensional problems. Then, stress-strain curves like S-letter are made by calculating the element-average values of elastic constants of higher-order Mooney-Rivlin material. Finally, the differences between various elements are compared in terms of the accuracy of solutions under the severe condition in compression of block problem that has singularity.