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  • Letter

Group theoretical approach to elasticity under constraints and predeformations

Segun Goh1,2,*, Hartmut Löwen2,†, and Andreas M. Menzel3,‡

  • 1Theoretical Physics of Living Matter, Institute of Biological Information Processing, Forschungszentrum Jülich, 52425 Jülich, Germany
  • 2Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, 40225 Düsseldorf, Germany
  • 3Institut für Physik, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, 39106 Magdeburg, Germany

  • *s.goh@fz-juelich.de
  • †hlowen@hhu.de
  • ‡a.menzel@ovgu.de
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Phys. Rev. B 106, L100101 – Published 9 September, 2022

DOI: https://doi.org/10.1103/PhysRevB.106.L100101

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.

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Phys. Rev. B 106, L100101– Published 9 September, 2022
  • Received 4 May 2022
  • Revised 26 August 2022
  • Accepted 30 August 2022
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