Boundary Element Methods in Solid Mechanics

Stabilized Methods in Solid Mechanics

This paper presents a variational multiscale method for developing stabilized finite element formulations for small strain inelasticity. The multiscale method arises from a decomposition of the displacement field into coarse (resolved) and fine (unresolved) scales. The resulting finite element formulation allows arbitrary combinations of interpolation functions for the displacement and pressure...

The Natural Element Method in Solid Mechanics

The application of the Natural Element Method (NEM) 2 to boundary value problems in two-dimensional small displacement elastostatics is presented. The discrete model of the domain consists of a set of distinct nodes N , and a polygonal description of the boundary @ . In the Natural Element Method, the trial and test functions are constructed using natural neighbour interpolants. These interpola...

A novel modification of decouple scaled boundary finite element method in fracture mechanics problems

In fracture mechanics and failure analysis, cracked media energy and consequently stress intensity factors (SIFs) play a crucial and significant role. Based on linear elastic fracture mechanics (LEFM), the SIFs and energy of cracked media may be estimated. This study presents the novel modification of decoupled scaled boundary finite element method (DSBFEM) to model cracked media. In this metho...

Adaptive finite element methods in computational mechanics

In this paper, we review the general approach to adaptivity for finite element methods presented in [l-16]. We also present new theoretical and computational results for linear elasticity, non-linear elasto-plasticity and non-linear conservation laws illustrating the general theory. The basic problem in adaptivity for finite element methods may be formulated as follows. Suppose 9 is a given (in...

Boundary Concentrated Finite Element Methods