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The Gamma limit of the simple shear problem in nonlinear Cosserat elasticity

Analysis of PDEs 2023-02-21 v1 Mathematical Physics math.MP

Abstract

The zero and first order Gamma-limit of vanishing internal length scale are studied for the mechanical energy of a shear problem in geometrically nonlinear Cosserat elasticity. The convergence of the minimizers is shown and the limit functionals are characterized.

Keywords

Cite

@article{arxiv.2302.09410,
  title  = {The Gamma limit of the simple shear problem in nonlinear Cosserat elasticity},
  author = {Thomas Blesgen and Patrizio Neff},
  journal= {arXiv preprint arXiv:2302.09410},
  year   = {2023}
}

Comments

27 pages, 6 figures