Visualization of fracture progression in peridynamics

Modelling of Crack Growth Using a New Fracture Criteria Based Peridynamics

Peridynamics (PD) is a nonlocal continuum theory based on integro-differential equations without spatial derivatives. The elongation fracture criterion is implicitly incorporated in the PD theory, and fracture is a natural outcome of the simulation. On the other hand, a new fracture criterion based on the crack opening displacement combined with peridynamic (PD-COD) is proposed. When the relati...

Simulation of Fracture of Concrete Using Micropolar Peridynamics

Modelling of Granular Fracture in Polycrystalline Materials Using Ordinary State-Based Peridynamics

An ordinary state-based peridynamic formulation is developed to analyse cubic polycrystalline materials for the first time in the literature. This new approach has the advantage that no constraint condition is imposed on material constants as opposed to bond-based peridynamic theory. The formulation is validated by first considering static analyses and comparing the displacement fields obtained...

A Review of Peridynamics and its Applications; Part1: The Models based on Peridynamics

Peridynamics is a nonlocal version of the continuum mechanics, in which partial differential equations are replaced by integro-differential ones. Due to not using spatial derivatives of the field variables, it can be applied to problems with discontinuities. In the primary studies, peridynamics has been used to simulate crack propagation in brittle materials. With proving the capabilities of pe...

PhD Dissertation Defense DISCRETIZED BOND-BASED PERIDYNAMICS FOR SOLID MECHANICS

The numerical analysis of spontaneously formed discontinuities such as cracks is a long-standing challenge in the engineering field. Approaches based on the mathematical framework of classical continuum mechanics fail to be directly applicable to describe discontinuities since the theory is formulated in partial differential equations, and a unique spatial derivative, however, does not exist on...