The transmission problem in linear isotropic elasticity

An Invariant Method of Fundamental Solutions for the Cauchy Problem in Two-Dimensional Isotropic Linear Elasticity

In this paper, we propose a numerical algorithm based on the method of fundamental solutions (MFS) for the Cauchy problem in two-dimensional linear elasticity. Through the use of the double-layer potential function, we give the invariance property for a problem with two different descriptions. In order to adapt this invariance property, we give an invariant MFS to satisfy this invariance proper...

Conservation Laws in Elasticity II. Linear Homogeneous Isotropic Elastostatics

Viscoelastic boundary stabilization for a transmission problem in elasticity

We consider an anisotropic body which is constituted by two different types of materials supporting a memory boundary condition and we show that its energy decays uniformly as time goes to infinity with the same rate as the relaxation function g, that is, the energy decays exponentially when g decays exponentially, and polynomially when g decays polynomially.

Adaptive Multigrid Methods for Signorini’s Problem in Linear Elasticity

Contact problems in computational mechanics are of significant importance for a variety of practical applications. Examples are metal forming processes, crash analysis, the design of gear boxes, bearings, car tires or implants in biomechanics. Here, we focus on Signorini’s problem in linear elasticity [10, 21, 22, 29] describing the linearized frictionless contact of an elastic body with a rigi...

Optimization of a Random Cauchy Problem in Linear Elasticity

B. Faverjon1, B. Puig and T.N. Baranger3 1 Université de Lyon, CNRS, INSA-Lyon, LaMCoS UMR5259, F-69621, France, [email protected] and http://lamcos.insa-lyon.fr 2 IPRA, Université de Pau, 64013 Pau. France, [email protected] and http://web.univ-pau.fr 3 Université de Lyon, CNRS, Université Lyon1, LaMCoS UMR5259, F-69622, France, [email protected] and http://...