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.
Mainini, E., Ognibene, R., Percivale, D. (2022). Asymptotic Behavior of Constrained Local Minimizers in Finite Elasticity. JOURNAL OF ELASTICITY, 152(1-2), 1-27 [10.1007/s10659-022-09946-9].
Asymptotic Behavior of Constrained Local Minimizers in Finite Elasticity
Ognibene, R;
2022
Abstract
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.
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