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

Research Square 2026 Preprint Open access

Read full text
Authors: Thomas Blesgen, Patrizio Neff
DOI: 10.21203/rs.3.rs-9725502/v1
Cited by: 0

Abstract

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 functional is characterized. One main result is that Gamma-limit and pointwise limit of the energy only coincide when μ c = 0 and are different otherwise.

Fields of Study & Subjects

Nonlocal and gradient elasticity in micro/nano structures Elasticity and Material Modeling Thermoelastic and Magnetoelastic Phenomena

Publication details

Journal / source
Research Square
Publisher
Springer Science and Business Media LLC
Publication date
20 May 2026
Language
EN
Document type
Preprint