Strain energy function for isotropic non-linear elastic incompressible solids with linear finite strain response in shear and torsion
Soft Condensed Matter
2020-09-10 v1
Abstract
We find the strain energy function for isotropic incompressible solids exhibiting a linear relationship between shear stress and amount of shear, and between torque and amount of twist, when subject to large simple shear or torsion deformations. It is inclusive of the well-known neo-Hookean and the Mooney-Rivlin models, but also can accommodate other terms, as certain arbitrary functions of the principal strain invariants. Effectively, the extra terms can be used to account for several non-linear effects observed experimentally but not captured by the neo-Hookean and Mooney-Rivlin models, such as strain stiffening effects due to limiting chain extensibility.
Keywords
Cite
@article{arxiv.2009.04210,
title = {Strain energy function for isotropic non-linear elastic incompressible solids with linear finite strain response in shear and torsion},
author = {Robert Mangan and Michel Destrade and Giuseppe Saccomandi},
journal= {arXiv preprint arXiv:2009.04210},
year = {2020}
}