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A three-dimensional meshfree method for continuous multiple-crack initiation,propagation and junction in statics and dynamics 总被引:3,自引:1,他引:3
This paper proposes a three-dimensional meshfree method for arbitrary crack initiation and propagation that ensures crack
path continuity for non-linear material models and cohesive laws. The method is based on a local partition of unity. An extrinsic
enrichment of the meshfree shape functions is used with discontinuous and near-front branch functions to close the crack front
and improve accuracy. The crack is hereby modeled as a jump in the displacement field. The initiation and propagation of a
crack is determined by the loss of hyperbolicity or the loss of material stability criterion. The method is applied to several
static, quasi-static and dynamic crack problems. The numerical results very precisely replicate available experimental and
analytical results. 相似文献