Group theoretical approach to elasticity under constraints and predeformations

作     者：Segun Goh Hartmut Löwen Andreas M. Menzel 

作者机构：Theoretical Physics of Living Matter Institute of Biological Information Processing Forschungszentrum Jülich 52425 Jülich Germany Institut für Theoretische Physik II: Weiche Materie Heinrich-Heine-Universität Düsseldorf Universitätsstraße 1 40225 Düsseldorf Germany Institut für Physik Otto-von-Guericke-Universität Magdeburg Universitätsplatz 2 39106 Magdeburg Germany 

出 版 物：《Physical Review B》 (Phys. Rev. B)

年 卷 期：2022年第106卷第10期

页      面：L100101-L100101页

核心收录：

基　　金：Deutsche Forschungsgemeinschaft, DFG, (LO 418/25-1, ME 3571/4-1) Deutsche Forschungsgemeinschaft, DFG 

主　　题：Continuum mechanics Elastic deformation Elastic forces Elastic modulus Elasticity Shear deformation Strain 

摘      要：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.