On the material symmetry group for micromorphic media with applications to granular materials

Victor Eremeev

doi:10.1016/j.mechrescom.2018.08.017

On the material symmetry group for micromorphic media with applications to granular materials

Abstract

Within the framework of the theory of nonlinear elastic micromorphic continua we introduce the new definition of the local material symmetry group. The group consists of ordered triples of second- and third-order tensors describing such changes of a reference placement that cannot be recognized with any experiment. Using the definition we characterize the micromorphic isotropic media, micromorphic fluids, solids and special intermediate cases called micromorphic subfluids or micromorphic liquid crystals. We demonstrate that some typical behaviour of such complex media as granular materials can be described within the micromorphic subfluids mechanics.

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Victor Eremeev prof. dr hab.

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Keywords

MATERIAL SYMMETRY GROUP, MICROMORPHIC CONTINUUM, SUBFLUIDS, GRANULAR MATERIALS

Details

Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: MECHANICS RESEARCH COMMUNICATIONS no. 94, pages 8 - 12,
ISSN: 0093-6413
Language:: English
Publication year:: 2018
Bibliographic description:: Eremeev V.: On the material symmetry group for micromorphic media with applications to granular materials// MECHANICS RESEARCH COMMUNICATIONS. -Vol. 94, (2018), s.8-12
DOI:: Digital Object Identifier (open in new tab) 10.1016/j.mechrescom.2018.08.017
Verified by:: Gdańsk University of Technology