Boundary Mesh-Free Model for elasticity problems

Resumo

The present work proposes implementing the shape forms obtained through the Moving Least Square
(MLS) method in the Boundary Integral Equations, thus presenting a Boundary Mesh-Free Model (BMFM), based
on the Boundary Node Method. Although based on the Boundary Integral Equations, BMFM does not require a
boundary mesh to approximate the variables. In the proposed BMFM, the boundary is described by linear segments
of integration. Within each segment, the MLS is applied independently, which allows for better representation of
discontinuities on the displacement and force fields. At the end of the paper, BMFM was applied to a benchmark
problem. It was possible to verify that the proposed method led to results with very low errors, proving it to be a
valid alternative to the more classical, robust methods.