Simple shear in nonlinear Cosserat micropolar elasticity: Existence of minimizers, numerical simulations, and occurrence of microstructure-Reference-Cited by-同舟云学术

Simple shear in nonlinear Cosserat micropolar elasticity: Existence of minimizers, numerical simulations, and occurrence of microstructure

Published:2022-09-19 Issue: Volume: Page:108128652211221
ISSN:1081-2865
Container-title:Mathematics and Mechanics of Solids
language:en
Short-container-title:Mathematics and Mechanics of Solids

Author:

Blesgen Thomas¹^ORCID,Neff Patrizio²

Affiliation:

1. Bingen University of Applied Sciences, Bingen, Germany

2. Faculty of Mathematics, University of Duisburg-Essen, Essen, Germany

Abstract

Deformation microstructure is studied for a 1 D-shear problem in geometrically nonlinear Cosserat elasticity. Microstructure solutions are described analytically and numerically for zero characteristic length scale.

Publisher

SAGE Publications

Subject

Mechanics of Materials,General Materials Science,General Mathematics

Link

http://journals.sagepub.com/doi/pdf/10.1177/10812865221122191

Reference32 articles.

1. Continua with Microstructure

2. Cosserat E, Cosserat F. Note sur la théorie de l’action euclidienne. (Appendix in Appell, 1893: 557–629).

3. Symmetric Cauchy stresses do not imply symmetric Biot strains in weak formulations of isotropic hyperelasticity with rotational degrees of freedom

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