This study presents a comprehensive exploration of Peridynamic (PD) theory, with a specific
focus on its theoretical foundations and practical implementations, including various PD …

Computational modeling of the initiation and propagation of complex fracture is central to the
discipline of engineering fracture mechanics. This review focuses on two promising …

Peridynamics (PD) is a novel continuum mechanics theory established by Stewart Silling in
2000. The roots of PD can be traced back to the early works of Gabrio Piola according to …

In this paper, crack propagation and coalescence behaviors in rock specimens containing
pre-existing open flaws under uniaxial compression are investigated using the novel …

Fatigue design assessment is a crucial step in the design process of ships and offshore
structures. To date, the stochastic approach is commonly used to calculate the total lifetime …

The non-ordinary state-based peridynamics (NOSB PD) is attractive because of its ability to
employ existing constitutive relations for material models. The deformation gradient tensor …

In this paper, a new coupled meshless method for 2D transient elastodynamic problems
involving dynamic crack propagation is developed. The method is based on an efficient …

Neural operators, which can act as implicit solution operators of hidden governing
equations, have recently become popular tools for learning the responses of complex real …

To accurately address the thermally induced dynamic and steady-state crack propagation
problems for homogeneous and heterogeneous materials involving crack branching …

A generalized micropolar bond-based Peridynamic model with shear deformability for linear
and non-linear problems is proposed. The analytical implicit formulation is derived from the …