Calculus of Variations and Geometric Measure Theory

E. Mainini - R. Ognibene - D. Percivale

Asymptotic behavior of constrained local minimizers in finite elasticity

created by mainini on 12 Oct 2021
modified by ognibene on 25 Mar 2023


Published Paper

Inserted: 12 oct 2021
Last Updated: 25 mar 2023

Journal: Journal of Elasticity
Year: 2022

ArXiv: 2110.04333 PDF


We provide an approximation result for the pure traction problem of linearized elasticity in terms of local minimizers of finite elasticity, under the constraint of vanishing average curl for admissible deformation maps. When suitable rotations are included in the constraint, the limit is shown to be the linear elastic equilibrium associated to rotated loads.