Structural Analysis of Hyperelasticity Using Rotationless Strain (Shear Deformation of 2-Dimensional Plane Block)

Abstract

This paper gives a finite-element formulation for structural analysis of hyperelasticity using rotationless strain, which can predict accurately the stress-strain curve in simple shear problems compared to the previous Green's hyperelasticity model. This study employs the displacement-based finite-element method due to its conceptual simplicity, even though recent finite-element codes use the displacement-pressure method. Numerical examples of plane block subjected to shear deformation show the performance of the present formulation as well as the fundamental features of mechanical responses involving combined loading conditions and the effects of the steel layers included in isotropic rubberlike materials.