A non-convex variational problem appearing in a large deformation elasticity problem

2012/02/16 by M. D. Voisei, Voisei, M. D., Zalinescu, C.
Computer Science · Engineering · #74B20 #Advanced Numerical Methods in Computational Mathematics #Contact Mechanics and Variational Inequalities #Elasticity and Material Modeling #FOS: Mathematics #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.1202.3515

openalex publication_date 2012/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A result concerning global extrema in a nonsmooth nonconvex variational problem that appears in applications (e.g. in a large deformation elasticity problem) is investigated in comparison with a result of D.Y. Gao and R.W. Ogden. The tools used are elementary and the results derived improve upon and correct a recent similar result, more precisely, Theorem 4 of the paper "Closed-form solutions, extremality and nonsmoothness criteria in a large deformation elasticity problem" by the fore-mentioned authors.

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