Existence of regular solutions for a one-dimensional simplified perfect-plastic problem with a unilateral gradient constraint.
Existence of regular solutions for a one-dimensional simplified perfect-plastic problem
Extremum theorem and convergence criterion for an iterative solution to the finite-step problem in elastoplasticity with mixed nonlinear hardening
For a class of elastic-plastic constitutive laws with nonlinear kinematic and isotropic hardening, the problem of determining the response to a finite load step is formulated according to an implicit backward difference scheme (stepwise holonomic formulation), with reference to discrete structural models. This problem is shown to be amenable to a nonlinear mathematical programming problem and a criterion is derived which guarantees monotonie convergence of an iterative algorithm for the solution...
Finite element analysis of a holonomic elastic-plastic problem.
Finite element methods for coupled thermoelasticity and coupled consolidation of clay
Folded shells : a variational approach
Free energy and internal variables in linear viscoelasticity
In connection with the determination of the free energy functional for the viscoelastic stress tensor, a viscoelastic material is considered as described by a material with internal variables. In this framework the free energy is uniquely determined. It proves to be the minimal one in the class of thermodynamically admissible free energies.
Free vibration of layered circular cylindrical shells of variable thickness using spline function approximation.
Generalized Newton methods for the 2D-Signorini contact problem with friction in function space
The 2D-Signorini contact problem with Tresca and Coulomb friction is discussed in infinite-dimensional Hilbert spaces. First, the problem with given friction (Tresca friction) is considered. It leads to a constraint non-differentiable minimization problem. By means of the Fenchel duality theorem this problem can be transformed into a constrained minimization involving a smooth functional. A regularization technique for the dual problem motivated by augmented lagrangians allows to apply an infinite-dimensional...
Generalized Newton methods for the 2D-Signorini contact problem with friction in function space
The 2D-Signorini contact problem with Tresca and Coulomb friction is discussed in infinite-dimensional Hilbert spaces. First, the problem with given friction (Tresca friction) is considered. It leads to a constraint non-differentiable minimization problem. By means of the Fenchel duality theorem this problem can be transformed into a constrained minimization involving a smooth functional. A regularization technique for the dual problem motivated by augmented Lagrangians allows to apply an...
Global Regular Solutions for the Dynamic Antiplane Shear Problem in Nonlinear Viscoelasticity.
Hilbert transform and its geophysical applications
Homogénéisation
Homogénéisation de frontières par épi-convergence en élasticité linéaire
Homogenization and effective properties of plates weakened by partially penetrating fissures : convergence and duality
Homogenization limits of diffusion equations in thin domains
Homogenization of a singular random one-dimensional PDE
This paper deals with the homogenization problem for a one-dimensional parabolic PDE with random stationary mixing coefficients in the presence of a large zero order term. We show that under a proper choice of the scaling factor for the said zero order terms, the family of solutions of the studied problem converges in law, and describe the limit process. It should be noted that the limit dynamics remain random.
Homogenization of reinforced periodic one-codimensional structures
Impédance d'une plaque élastique reliée en trois points à un support rigide vibrant
Implications of rank one convexity