Large Deformation Formulation Based on the Updated Lagrange Method for a Nonlinear Elastic Body within a Framework of Multiple Shear Mechanism Accounting for Inherent Anisotropy

A constitutive model for a nonlinear elastic body within a framework of multiple shear mechanisms has been proposed to consider the geometrical nonlinearity based on large deformation (or finite strain) theory. The constitutive model has been extended to incorporate the effect of inherent anisotropy based on the total Lagrange method in the large deformation theory. This manuscript presents a formulation based on the updated Lagrange method to complete the description of a nonlinear elastic body model that can consider the inherent anisotropy effect as well as the geometrical nonlinearity.