Browsing Past Topics (PT) by Author "Mora-Corral, C."
Now showing items 1-4 of 4
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Approximation of Hölder continuous homeomorphisms by piecewise affine homeomorphisms
Bellido, J.C.; Mora-Corral, C. (2011-12-31)This paper is concerned with the problem of approximating a homeomorphism by piecewise affine homeomorphisms. The main result is as follows: every homeomorphism from a planar domain with a polygonal boundary to ℝ2 that is ... -
Explicit energy-minimizers of incompressible elastic brittle bars under uniaxial extension [Minimiseurs de l'énergie explicits d'une barre incompressible, élastique, mais fragile, soumise à une extension uniaxiale]
Mora-Corral, C. (2010-12-31)A rectangular bar made of a hyperelastic, but brittle, incompressible homogeneous and isotropic material is subject to uniaxial extension. We prove that the energy minimizers are, depending on the toughness coefficient of ... -
Fracture Surfaces and the Regularity of Inverses for BV Deformations
Henao, D.; Mora-Corral, C. (2011-12-31)Motivated by nonlinear elasticity theory, we study deformations that are approximately differentiable, orientation-preserving and one-to-one almost everywhere, and in addition have finite surface energy. This surface energy ... -
Invertibility and weak continuity of the determinant for the modelling of cavitation and fracture in nonlinear elasticity
Henao, D.; Mora-Corral, C. (2010-12-31)In this paper, we present and analyze a variational model in nonlinear elasticity that allows for cavitation and fracture. The main idea in unifying the theories of cavitation and fracture is to regard both cavities and ...