https://doi.org/10.1140/epjp/s13360-022-03637-z
Regular Article
A study on hyperelastic models for micromorphic solids
Faculty of Mechanical Engineering, University of Guilan, P.O. Box 3756, Rasht, Iran
Received:
2
September
2022
Accepted:
27
December
2022
Published online:
26
January
2023
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.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
