Potential methods in continuum mechanics.
Preface to Special Issue
Problèmes unilatéraux en élasticité
Propagation of stress waves in elastic solids.
Proprietà dello stress minimizzante l'energia potenziale elastica in un insieme di stress «staticamente ammissibili»
Quasiconvex functions, and two elastic wells
Quasistatic frictional problems for elastic and viscoelastic materials
We consider two quasistatic problems which describe the frictional contact between a deformable body and an obstacle, the so-called foundation. In the first problem the body is assumed to have a viscoelastic behavior, while in the other it is assumed to be elastic. The frictional contact is modeled by a general velocity dependent dissipation functional. We derive weak formulations for the models and prove existence and uniqueness results. The proofs are based on the theory of evolution variational...
Quelques remarques sur les notions de rang convexité et de polyconvexité en dimensions 2 et 3
Quelques remarques sur un problème d'élasticité non linéaire
Questioni di esistenza e di unicità per il problema elastostatico con un vincolo di appoggio unilaterale a supporto rigido nel caso di piccole deformazioni
Radially symmetric cavitation for hyperelastic materials
Regular Splittings and the Discrete Neumann Problem.
Regularity and optimal control of quasicoupled and coupled heating processes
Sufficient conditions for the stresses in the threedimensional linearized coupled thermoelastic system including viscoelasticity to be continuous and bounded are derived and optimization of heating processes described by quasicoupled or partially linearized coupled thermoelastic systems with constraints on stresses is treated. Due to the consideration of heating regimes being “as nonregular as possible” and because of the well-known lack of results concerning the classical regularity of solutions...
Regularity of minimizers for a class of membrane energies
Relativistic and nonrelativistic elastodynamics with small shear strains
Relaxation et existence pour le problème des matériaux à blocage
Relaxation of convex functionals : the gap problem
Relaxation theorems in nonlinear elasticity
Relaxed hyperelastic curves
We define relaxed hyperelastic curve, which is a generalization of relaxed elastic lines, on an oriented surface in three-dimensional Euclidean space E³, and we derive the intrinsic equations for a relaxed hyperelastic curve on a surface. Then, by examining relaxed hyperelastic curves in a plane, on a sphere and on a cylinder, we show that geodesics are relaxed hyperelastic curves in a plane and on a sphere. But on a cylinder, they are relaxed hyperelastic curves only in special cases.
Reliable solutions of problems in the deformation theory of plasticity with respect to uncertain material function
Maximization problems are formulated for a class of quasistatic problems in the deformation theory of plasticity with respect to an uncertainty in the material function. Approximate problems are introduced on the basis of cubic Hermite splines and finite elements. The solvability of both continuous and approximate problems is proved and some convergence analysis presented.