A study on hyperelastic models for micromorphic solids

Abstract

This paper presents two hyperelastic models for the micromorphic hyperelasticity which can be efficiently utilized for materials with high dependence on the microdeformation gradient. To this end, two new microdeformation gradient-based strain measures are introduced and used in hyperelastic formulation. The developed formulation for the micromorphic hyperelasticity makes it possible to define hyperelastic functions whose dependency on the microdeformation gradient can be clearly discussed. Also, based on the proposed formulation, any kind of hyperelastic models can be formulated using the defined strain measures. © 2023, The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.