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

2022/06/16 by Thomas Blesgen, Blesgen, Thomas, Patrizio Neff +1
Engineering · Materials Science · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mechanical and Optical Resonators #Nonlocal and gradient elasticity in micro/nano structures #Thermoelastic and Magnetoelastic Phenomena

paper · pdf · doi:10.48550/arxiv.2206.08134

openalex publication_date 2022/06/16 · openalex created_date 2022/06/19 · openalex updated_date 2026/07/28

Abstract

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

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