Calculus of Variations and Geometric Measure Theory

R. Alicandro - G. Lazzaroni - M. Palombaro - P. Wozniak

Derivation of linear elasticity from energy functionals with infinitely many wells

created by lazzaroni on 27 Feb 2026

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Preprint

Inserted: 27 feb 2026
Last Updated: 27 feb 2026

Year: 2026

Abstract:

In this paper we derive a linear elastic model starting from a nonlinear energy functional with infinitely many wells, including a second gradient perturbation that penalises transitions from one well to another. This is achieved by employing a suitable weak convergence for deformations which allows one to prove compactness by applying a rigidity estimate for incompatible fields.


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