Abstract
AbstractAn advanced formulation of the boundary element method has been developed for inelastic analysis based on an initial stress approach. The iterative solution algorithm makes use of an accelerated initial stress approach in which the past history of initial stresses are used to obtain an initial estimate for the current increment. In the present analysis the geometry and functions are represented by higher order (quadratic) shape functions to model complex geometries and rapid functional variations accurately. The methods of numerical integration of the kernels, particularly the singular type, are substantially improved by devising suitable automatic sub‐segmentation routines that incorporate the recent developments in mapping procedures. The formulations have been implemented for two‐dimensional plane stress, plane strain and three‐dimensional elasto‐plasticity problems.
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