Elastic fracture analyses using an enriched collocation method

Abstract EN

\An enriched collocation method with the modified equilibrium on line method (ELM) for imposition of Neumann boundary conditions is presented for solving the two-dimensional elastic fracture problems.

In the modified ELM, equilibrium over the lines on the Neumann boundary is satisfied as Neumann boundary condition equations.

In this paper, two different enriched methods are used to construct meshless shape functions : enriched moving least squares approximation and enriched radial basis point interpolation.

A number of numerical examples are presented to demonstrate the stability, accuracy, and convergence of the proposed method for solving two-dimensional elastic fracture problems.