We prove that the single layer potential operator of planar linear elastostatics is elliptic in [H(Γ)], if the domain Ω is scaled appropriately.

We prove the strong unique continuation property for the Lamé system of elastostatics in the plane, ∇· ( μ ( ∇u+∇ut )) +∇ (λ∇ · u) = 0, with variable Lamé coefficients μ, λ, when μ is Lipschitz and λ is measurable.

In situations outside those identified with routine elastic structural analysis, there is often a need for formulation in mixed form. Small-deformation elastostatics, expressed in terms of stress, strain, and displacement, is described here in the form of either of two complementary constrained-extremum problems. The set of governing equations and boundary conditions of elastostatics are obtain...

Present work presents a code written in the very simple programming language MATLAB, for three dimensional linear elastostatics, using constant boundary elements. The code, in full or in part, is not a translation or a copy of any of the existing codes. Present paper explains how the code is written, and lists all the formulae used. Code is verified by using the code to solve a simple problem w...

In this work we consider a stabilized Lagrange multiplier method in order to approximate the Coulomb frictional contact model in linear elastostatics. The particularity of the method is that no discrete inf-sup condition is needed. We study the existence and the uniqueness of solution of the discrete problem.

In this paper the basic results involved in the application of NOETHER'S theorem relating symmetry groups and conservation laws to the variational problems of homogeneous elastostatics are outlined. General methods and conditions for the existence of variational and generalized symmetries are presented. Applications will be considered in subsequent papers in this series.

In the paper the manner in which certain Dirac sequences appear to the representation of the concentrated forces and moment by distributions is shown. The generalized solutions of the problems from elastostatics regarding the elastic help-plane and half-space are given with the help of the certain Dirac sequences.

A 3D slip-dependent frictional contact problem in elastostatics is discussed. We deliver a variational formulation as a mixed variational problem whose Lagrange multipliers set is solutiondependent. Then, the existence and the boundedness of the solutions is investigated. The proof is based on a recent result for an abstract mixed variational problem with solution-dependent set of Lagrange mult...