A group theoretical approach to elasticity under constraints and predeformations
Soft Condensed Matter
2022-09-21 v1 Materials Science
Abstract
Respecting deformational constraints and predeformations poses a substantial challenge in the description of nonlinear elasticity. We here outline how group theory can play a beneficial role to overcome this challenge. Specifically, group theory guides us to generalized definitions of nonlinear shear deformation gradients and expressions of generalized elastic moduli in the nonlinear regime. Particularly, such achievements become important in the context of larger deformations under constraints and additional deformations on top of predeformations.
Keywords
Cite
@article{arxiv.2208.14670,
title = {A group theoretical approach to elasticity under constraints and predeformations},
author = {Segun Goh and Hartmut Löwen and Andreas M. Menzel},
journal= {arXiv preprint arXiv:2208.14670},
year = {2022}
}
Comments
7 pages, 2 figures, to appear in Phys. Rev. B