Finite Deformation Analysis using Natural Strain

On Comparison with Other Strain Expressions under Three Different Types of Deformation Paths and the Rationality of Natural Strain

Abstract

The effectiveness of the Natural Strain theory for describing a large deformation is mentioned in this paper. The Natural Strain is obtained by integrating infinitesimal strain increment on an identical line element over the whole process of the deformation path. Hence, the expression of the Natural Strain is different from the strain expression of ordinary rate type, and the additive low of strain on an identical line element can be satisfied. In this paper, the finite deformation analyses of a pure elastic body concerning the three different types of deformation paths are discussed on the combined deformation of simple tension and simple shear, and we compare the Natural Strain with other strain expressions and confirm the rationality of this expression.