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Theoretical analysis of discrete contact problems with Coulomb friction

Tomáš Ligurský (2012)

Applications of Mathematics

A discrete model of the two-dimensional Signorini problem with Coulomb friction and a coefficient of friction $ℱ$ depending on the spatial variable is analysed. It is shown that a solution exists for any $ℱ$ and is globally unique if $ℱ$ is sufficiently small. The Lipschitz continuity of this unique solution as a function of $ℱ$ as well as a function of the load vector $f$ is obtained. Furthermore, local uniqueness of solutions for arbitrary $ℱ > 0$ is studied. The question of existence of locally Lipschitz-continuous...

Thermoelasticity of Dipolar Bodies with Internal State Variables

M. Marin (1995)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

Thermoelasticity without energy dissipation for initially stressed bodies.

Wang, Jun, Slattery, Susan Palmer (2002)

International Journal of Mathematics and Mathematical Sciences

Three-dimensional boundary value problems of elastothermodiffusion with mixed boundary conditions.

Burchuladze, T., Bezhuashvili, Yu. (1997)

Georgian Mathematical Journal

Three-dimensional mathematical problems of thermoelasticity of anisotropic bodies. II.

Jentsch, Lothar, Natroshvili, David (1999)

Memoirs on Differential Equations and Mathematical Physics

Topological derivative for linear elastic plate bending problems

A. Novotny, R. Feijóo, C. Padra, E. Taroco (2005)

Control and Cybernetics

Traveling waves in a cylinder rolling on a flat surface

Dvora Ross, Michel Bercovier (1991)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Two-dimensional steady-state oscillation problems of anisotropic elasticity.

Natroshvili, D. (1996)

Georgian Mathematical Journal

Two-scale homogenization for a model in strain gradient plasticity

Alessandro Giacomini, Alessandro Musesti (2011)

ESAIM: Control, Optimisation and Calculus of Variations

Using the tool of two-scale convergence, we provide a rigorous mathematical setting for the homogenization result obtained by Fleck and Willis [J. Mech. Phys. Solids 52 (2004) 1855–1888] concerning the effective plastic behaviour of a strain gradient composite material. Moreover, moving from deformation theory to flow theory, we prove a convergence result for the homogenization of quasistatic evolutions in the presence of isotropic linear hardening.

Two-scale homogenization for a model in strain gradient plasticity

Alessandro Giacomini, Alessandro Musesti (2011)

ESAIM: Control, Optimisation and Calculus of Variations

Using the tool of two-scale convergence, we provide a rigorous mathematical setting for the homogenization result obtained by Fleck and Willis [J. Mech. Phys. Solids52 (2004) 1855–1888] concerning the effective plastic behaviour of a strain gradient composite material. Moreover, moving from deformation theory to flow theory, we prove a convergence result for the homogenization of quasistatic evolutions in the presence of isotropic linear hardening.

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