Necessary conditions for a minimum at a radial cavitating singularity in nonlinear elasticity
Jeyabal Sivaloganathan, Scott J. Spector (2008)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “Minimizers with topological singularities in two dimensional elasticity”
Necessary conditions for a minimum at a radial cavitating singularity in nonlinear elasticity
On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes. II
Jiří Jarušek (1991)
Applications of Mathematics
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A quasilinear noncoupled thermoelastic system is studied both on a threedimensional bounded domain with a smooth boundary and for a generalized model involving the influence of supports. Sufficient conditions are derived under which the stresses are bounded and continuous on the closure of the domain.
Rotating drops in a vessel
G. Congedo, M. Emmer, E. H. A. Gonzalez (1983)
Rendiconti del Seminario Matematico della Università di Padova
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Injective weak solutions in second-gradient nonlinear elasticity
Timothy J. Healey, Stefan Krömer (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider a class of second-gradient elasticity models for which the internal potential energy is taken as the sum of a convex function of the second gradient of the deformation and a general function of the gradient. However, in consonance with classical nonlinear elasticity, the latter is assumed to grow unboundedly as the determinant of the gradient approaches zero. While the existence of a minimizer is routine, the existence of weak solutions is not, and we focus our efforts on...
A short remark on energy functionals related to nonlinear Hencky materials.
Bildhauer, Michael, Fuchs, Martin (2007)
Applied Mathematics E-Notes [electronic only]
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Symmetric solutions to minimization of a -energy functional with ellipsoid value.
Lei, Yutian (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Remarks on the theory of elasticity
Sergio Conti, Camillo de Lellis (2003)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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In compressible Neohookean elasticity one minimizes functionals which are composed by the sum of the norm of the deformation gradient and a nonlinear function of the determinant of the gradient. Non–interpenetrability of matter is then represented by additional invertibility conditions. An existence theory which includes a precise notion of invertibility and allows for cavitation was formulated by Müller and Spector in 1995. It applies, however, only if some -norm of the gradient...