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 …

Peridynamic models are derived by assuming that a material point is located in the bulk.
Near a surface or boundary, material points do not have a full non-local neighborhood. This …

The survey is devoted to numerical solution of the equation A α u= f, 0< α< 1, where A is a
symmetric positive definite operator corresponding to a second order elliptic boundary value …

The peridynamic correspondence material model (PD CMM), generally regarded as a non-
ordinary state-based peridynamic (NOSB PD) model, is attractive because of its capability to …

A thermo-mechanical peridynamic model using adaptive grid refinement is developed to
investigate crack propagation in ceramics. Compared to a standard peridynamic model …

The spectral approach is used to examine the wave dispersion in linearized bond-based
and state-based peridynamics in one and two dimensions, and comparisons with the …

Strain localization and cracking in porous media are significant issues in engineering and
science. Periporomechanics is a strong nonlocal framework for modeling the mechanics and …

The text demonstrates the application of the finite element modelling principles to the
solution of real-life problems. The presentation tracks the implementation from generation of …

This paper uses the improved bond-based peridynamics (BB PD) method to predict the
crack evolution and macroscopic mechanical properties of the hardened cement paste at the …

Non-ordinary state–based peridynamics is a promising continuum mechanics theory that
combines non-local dynamics with conventional material models. Within this theory, the …