A new meshless method for solving stationary thermoelastic boundary value problems is proposed in the present paper. The moving least square (MLS) method is used for the approximation of physical quantities in the local boundary integral equations (LBIE). In stationary thermoelasticity, the temperature and displacement fields are uncoupled. In the first step, the temperature field, described by...

We present a fast algorithm for the calculation of elastostatic fields in twodimensional assemblies of elastic grains, separated by sharp grain boundaries. The algorithm uses an integral equation approach, combined with the fast multipole method and recursive compression to resolve stress concentrations also very close to grain boundary junctions. Singular basis functions on analytic form are n...

Abstract This note aims at illustrating the application of Virtual Element Method to elasticity problems in mixed form, following Hellinger-Reissner variational principle. In order highlight potential and flexibility our approach, we focus on a three-dimensional low-order scheme, but similar considerations apply two-dimensional higher-order methods.

The method of fundamental solutions (MFS) is a boundary-type and truly meshfree method, which recognized as an efficient numerical tool for solving boundary value problems. geometrical shape, conditions, applied loads can be easily modeled in the MFS. This capability makes MFS particularly suitable shape optimization, moving load, inverse However, it observed that standard lead to inaccurate so...

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The simplest elasticity model of the foundation underlying a slender beam under flexure was conceived by Winkler, requiring local proportionality between soil reactions and deflection. Such an approach leads to well-posed elastostatic elastodynamic problems, but as highlighted Wieghardt, it provides elastic responses that are not technically significant for wide variety engineering applications...

BEM-FEM coupling is desirable for three-dimensional problems involving specific features such as (i) large or unbounded media with linear constitutive properties, (ii) cracks, (iii) critical parts of complex geometry requiring accurate stress analyses. However, for cases with a BEM discretization involving a large number NBEM of degrees of freedom, setting up the BEM contribution to the coupled...