Asymptotic Behavior of Constrained Local Minimizers in Finite Elasticity

被引：1

作者：

Mainini, Edoardo ^{[1
]}

Ognibene, Roberto ^{[2
]}

Percivale, Danilo ^{[1
]}

机构：

[1] Univ Genoa, Dipartimento Ingn Meccan Energet Gest & Trasporti, Via Opera Pia 15, I-16145 Genoa, Italy

[2] Univ Pisa, Dipartimento Matemat, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy

来源：

JOURNAL OF ELASTICITY | 2022年 / 152卷 / 1-2期

关键词：

Calculus of variations; Linear elasticity; Finite elasticity; Traction problem; Gamma-convergence; Equilibrium equations; Constrained minimizers; NONLINEAR ELASTICITY; LINEAR ELASTICITY; EXISTENCE; LINEARIZATION; BIFURCATION; SYMMETRY; THEOREM; LIMIT;

D O I：

10.1007/s10659-022-09946-9

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：1 / 27

页数：27

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