Group theoretical approach to elasticity under constraints and predeformations

Autor: Segun Goh, Hartmut Löwen, Andreas M. Menzel
Rok vydání: 2022
Předmět:
Zdroj: Physical review / B 106(10), L100101 (2022). doi:10.1103/PhysRevB.106.L100101
ISSN: 2469-9969
2469-9950
DOI: 10.1103/physrevb.106.l100101
Popis: 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.
7 pages, 2 figures, to appear in Phys. Rev. B
Databáze: OpenAIRE