The three-dimensional problem of statics of the elastic mixture theory with displacements given on the boundary.
The weak solution of an antiplane contact problem for electro-viscoelastic materials with long-term memory
We study a mathematical model which describes the antiplane shear deformation of a cylinder in frictionless contact with a rigid foundation. The material is assumed to be electro-viscoelastic with long-term memory, and the friction is modeled with Tresca's law and the foundation is assumed to be electrically conductive. First we derive the classical variational formulation of the model which is given by a system coupling an evolutionary variational equality for the displacement field with a time-dependent...
Theoretical analysis of discrete contact problems with Coulomb friction
A discrete model of the two-dimensional Signorini problem with Coulomb friction and a coefficient of friction depending on the spatial variable is analysed. It is shown that a solution exists for any and is globally unique if is sufficiently small. The Lipschitz continuity of this unique solution as a function of as well as a function of the load vector is obtained. Furthermore, local uniqueness of solutions for arbitrary is studied. The question of existence of locally Lipschitz-continuous...
Thermoelasticity of Dipolar Bodies with Internal State Variables
Thermoelasticity without energy dissipation for initially stressed bodies.
Three-dimensional boundary value problems of elastothermodiffusion with mixed boundary conditions.
Three-dimensional mathematical problems of thermoelasticity of anisotropic bodies. II.
Topological derivative for linear elastic plate bending problems
Traveling waves in a cylinder rolling on a flat surface
Two-dimensional steady-state oscillation problems of anisotropic elasticity.
Two-scale homogenization for a model in strain gradient plasticity
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
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.
Über Torsionsschwingungen von kreisförmigen Platten
Un teorema di unicità in viscoelasticità lineare
Un théorème d'existence en théorie non linéaire des coques minces
Les équations bidimensionnelles d'une coque non linéairement élastique «en flexion» ont été récemment justifiées par V. Lods et B. Miara par la méthode des développements asymptotiques formels appliquée aux équations de l'élasticité non linéaire tridimensionnelle. Ces équations se mettent sous la forme d'un problème de point critique d'une fonctionnelle dont l'intégrande est une expression quadratique en termes de la différence exacte entre les tenseurs de courbure des surfaces déformée et non déformée,...
Unicidad local en el equilibrio elástico (piezas longitudinales con leyes no lineales).
Unilateral contact of elastic bodies (moment theory).
Uniqueness of the solution of the boundary-initial value problem for a linear elastic Cosserat continuum
Variational formulation and analysis of a linearized 2-D model with no axial symmetry for a two-phase water-petroleum flow.
Weak Formulations and Solution Multiplicity of Equilibrium Configurations with Coulomb Friction
This work is concerned with the equilibrium configurations of elastic structures in contact with Coulomb friction. We obtain a variational formulation of this equilibrium problem. Then we propose sufficient conditions for the existence of an infinity of equilibrium configurations with arbitrary small friction coefficients. We illustrate the result in two space dimensions with a simple example.