Simple shear in nonlinear Cosserat micropolar elasticity: Existence of minimizers, numerical simulations and occurrence of microstructure
Thomas Blesgen, Patrizio Neff
TL;DR
This paper investigates microstructure formation in a nonlinear Cosserat micropolar elastic model under simple shear, providing analytical and numerical solutions for zero characteristic length, highlighting the model's microstructural behavior.
Contribution
It introduces analytical and numerical methods to study microstructure in nonlinear Cosserat elasticity under simple shear, focusing on zero characteristic length scale.
Findings
Microstructure solutions are characterized analytically.
Numerical simulations support analytical findings.
Microstructure occurs in the zero characteristic length scale regime.
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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Taxonomy
TopicsNonlocal and gradient elasticity in micro/nano structures · Thermoelastic and Magnetoelastic Phenomena · Mechanical and Optical Resonators