SUMMARYA meshless procedure, based on boundary integral equations, is proposed to analyze elastoplastic problems. To cope with non-linear problems, the usual boundary element method introduces domain discretization cells, often considered a 'drawback' of the method. Here, to get rid of the standard element and cell, i.e. boundary and domain discretization, the orthogonal moving least squares (also known as improved moving least squares) method is used. The algorithm adopted to solve these particular inelastic nonlinear problems is a well-established, criterion-independent implicit procedure, previously developed by the authors. Comparative results are presented at the end to illustrate the effectiveness of the proposed techniques.
This work aims at introducing the concept of the numerical Green’s function (NGF) idea
for elastostatic fracture mechanics using the boundary element-free method (BEFM). Unlike the
local boundary integral equation method (LBIE), the BEFM only requires boundary interpolation.
This method derives from the coupling of the boundary integral equation method and the orthogonal
moving least-squares approximation scheme (OMLS). OMLS differs from standard MLS by using
an orthogonal basis instead of only a linear independent one, which increases its accuracy and
efficiency. Some illustrative examples are included in the end.
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