Cauchy elastic material

Elastic material properties

Published in Jamshid Ghaboussi, David A. Pecknold, Xiping Steven Wu, Nonlinear Computational Solid Mechanics, 2017

Jamshid Ghaboussi, David A. Pecknold, Xiping Steven Wu

It is known that under some multiaxial loading and unloading stress cycles, Cauchy elastic material models may generate spurious energy, resulting in violation of energy conservation laws (Simo and Pister 1984). We will address this aspect subsequently.

Non-linear elasticity experiment and analysis of acrylic material used for human occupied vehicle

View Article

Journal Information

Published in Ships and Offshore Structures, 2023

Bingxiong Zhao, Fang Wang, Youjie Li, Yu Wu, Jinfei Zhang, Ruilong Luo, Oleg Gaidai, Weicheng Cui

The form of the polynomial energy potential can be expressed as the following formula (1) (Dassault 2016). where U is the strain energy per unit of reference volume; N is the material coefficient; Cij and Di are material coefficients; and are the first and second deviatoric strain invariants, respectively; Jel is the elastic volume ratio, for incompressible material, Jel = 1. The hyperelastic material is a special case of a Cauchy elastic material. The nominal stress presented as formula (2) derived from the principle of virtual work . where λ is the principal stretch: the ratios of current length to length in the original configuration in the principal directions.

Cauchy elastic material

Explore chapters and articles related to this topic

Elastic material properties

Non-linear elasticity experiment and analysis of acrylic material used for human occupied vehicle