Characterization of the critical points for the shear-stretch strain energy of a Cosserat problem
Author:
Funder
CNCS-UEFISCDI
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Physics and Astronomy,General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s00033-020-1291-z.pdf
Reference23 articles.
1. Cosserat, E., Cosserat, F.: Théorie de corps déformable. Librairie Scientifique A. Hermann et fils, Paris (1909)
2. Eringen, A.C.: Theory of micropolar elasticity. Office of Naval Research. Department of the Navy, Contract N-0014-67-A-0151-0004 (1967)
3. Neff, P., Fischle, A., Münch, I.: Symmetric Cauchy stresses do not imply symmetric Biot strains in weak formulations of isotropic hyperelasticity with rotational degrees of freedom. Acta Mech. 197, 19–30 (2008)
4. Teodorescu, P.P.: Treatise on Classical Elasticity. Theory and Related Problems. Springer, Berlin (2013)
5. Neff, P., Lankeit, J., Madeo, A.: On Grioli’s minimum property and its relation to Cauchy’s polar decomposition. Int. J. Eng. Sci. 80, 209–217 (2014)
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1. Simple shear in nonlinear Cosserat micropolar elasticity: Existence of minimizers, numerical simulations, and occurrence of microstructure;Mathematics and Mechanics of Solids;2022-09-19
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