Ground states in complex bodies

Paolo Maria Mariano; Giuseppe Modica

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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...

Regularization of noncoercive constraints in Hencky plasticity

Jarosław L. Bojarski (2005)

Applicationes Mathematicae

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The aim of this paper is to find the largest lower semicontinuous minorant of the elastic-plastic energy of a body with fissures. The functional of energy considered is not coercive.

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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Remarks on $W^{1, p}$ -quasiconvexity, interpenetration of matter, and function spaces for elasticity

R. D. James, S. J. Spector (1992)

Annales de l'I.H.P. Analyse non linéaire

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New methods in collision of bodies analysis

Němec, Ivan, Vala, Jiří, Štekbauer, Hynek, Jedlička, Michal, Burkart, Daniel

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The widely used method for solution of impacts of bodies, called the penalty method, is based on the contact force proportional to the length of the interpenetration of bodies. This method is regarded as unsatisfactory by the authors of this contribution, because of an inaccurate fulfillment of the energy conservation law and violation of the natural demand of impenetrability of bodies. Two non-traditional methods for the solution of impacts of bodies satisfy these demands exactly, or...

Statistically stored dislocations in rate-independent plasticity.

Bortoloni, L., Cermelli, P. (2000)

Rendiconti del Seminario Matematico

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Betti's reciprocal theorem for Cosserat elastic shells

Franco Pastrone (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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It is proved that, as in three-dimensional elasticity, Betti's theorem represents a criterion for the existence of a stored-energy function for a Cosserat elastic shell.

Displaying similar documents to “Ground states in complex bodies”

Injective weak solutions in second-gradient nonlinear elasticity

Regularization of noncoercive constraints in Hencky plasticity

Necessary conditions for a minimum at a radial cavitating singularity in nonlinear elasticity

Remarks on W 1 , p -quasiconvexity, interpenetration of matter, and function spaces for elasticity

New methods in collision of bodies analysis

Statistically stored dislocations in rate-independent plasticity.

Betti's reciprocal theorem for Cosserat elastic shells

Remarks on $W^{1, p}$ -quasiconvexity, interpenetration of matter, and function spaces for elasticity