Abstract Development of numerical methods for hydraulic fracture simulation has
accelerated in the past two decades. Recent advances in hydraulic fracture modeling and …

This paper reviews different crack tracking techniques in three-dimensions applicable in the
context of partition of unity methods, especially meshfree methods. Issues such as …

An extended finite element method (X‐FEM) for three‐dimensional crack modelling is
described. A discontinuous function and the two‐dimensional asymptotic crack‐tip …

In 3D fracture modeling, the complexity of the evolving crack geometry during propagation
raises challenges in stress analysis because the accuracy of results mainly relies on the …

A numerical technique for planar three-dimensional fatigue crack growth simulations is
proposed. The new technique couples the extended finite element method (X-FEM) to the …

An overview of computational methods to model fracture in brittle and quasi‐brittle materials
is given. The overview focuses on continuum models for fracture. First, numerical difficulties …

The meshfree methods in computational mechanics have been actively proposed and
increasingly developed in order to overcome some drawbacks in the conventional numerical …

A technique for modelling of arbitrary three‐dimensional dynamically propagating cracks in
elastic bodies by the Element‐Free Galerkin (EFG) method with explicit time integration is …

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 …

We present two new approaches for animating dynamic fracture involving large elastoplastic
deformation. In contrast to traditional mesh-based techniques, where sharp discontinuity is …