The peridynamic nonlocal theory circumvents these issues by reformulating solid mechanics in terms of integral equations. Many challenges, such as the need of accurately representing the singular stress field at crack tips. This, however, results in a highįurthermore, for crack propagation problems, the use of classical local mechanics presents Not require the deformation gradient to be positive definite. Mentation, as by reconstructing the field approximations in the current configuration it does Method (RKPM) has been proved to be particularly effectively for material damage and frag. In the framework of local mechanics, the semi-Lagrangian reproducing kernel particle Meshing due to excessive mesh distortion. Some of the common issues associated with mesh-based techniques, such as the need for re. For these classes of problems, meshfreeĭiscretizations of local and nonlocal approaches, have been shown to be effective as they avoid Remains a challenge in computational mechanics. Of problems involving large deformations, material fragmentation and crack propagations still Achieving good accuracy while keeping a low computational cost in numerical simulations
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