Hyperelasticity Theory based on Rotationless Strain : Constitutive Equation for Incompressible Materials

概要

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The present paper proposes a constitutive equation for rubberlike materials through the strain energy function using a new strain measure called`rotationless strain'. This strain is defined as the accumulated strain defined by integrating strain rate excluding effects of rotation from the stretching tensor, which is derived from the polar decomposition of the deformation tensor. The proposed constitutive equation takes the form of a nonlinear stress-strain relationship, and includes an isotropic linear relationship for metal alloys as a Special case, where the objective stress rate is taken as the Green-Naghdi rate in both of the constitutive equations. The present paper is also concerned with theoretical treatments for incompressibility and the formulations in terms of principal values. Good agreement with the experimental results for typical loading problems, such as simple shear and simple elongation as well as uniform 2-dimensional extension cases, shows the validity of the present constitutive modeling.
一般社団法人日本機械学会の論文
1992-01-15