A comparative review of peridynamics and phase-field models for engineering fracture mechanics

P Diehl, R Lipton, T Wick, M Tyagi - Computational Mechanics, 2022 - Springer
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 …

A hybrid meshfree discretization to improve the numerical performance of peridynamic models

A Shojaei, A Hermann, CJ Cyron, P Seleson… - Computer methods in …, 2022 - Elsevier
Efficient and accurate calculation of spatial integrals is of major interest in the numerical
implementation of peridynamics (PD). The standard way to perform this calculation is a …

Multi-adaptive coupling of finite element meshes with peridynamic grids: robust implementation and potential applications

F Mossaiby, P Sheikhbahaei, A Shojaei - Engineering with Computers, 2023 - Springer
Coupling of methods based on the classical continuum mechanics (CCM), with peridynamic
(PD) models is a recent hot topic in the realm of computational mechanics. In the coupled …

Multi-adaptive spatial discretization of bond-based peridynamics

G Ongaro, A Shojaei, F Mossaiby, A Hermann… - International journal of …, 2023 - Springer
Peridynamic (PD) models are commonly implemented by exploiting a particle-based method
referred to as standard scheme. Compared to numerical methods based on classical …

A GPU parallel scheme for accelerating 2D and 3D peridynamics models

X Wang, Q Wang, B An, Q He, P Wang, J Wu - Theoretical and Applied …, 2022 - Elsevier
Peridynamics (PD) is prevailing in the numerical simulations of damage evolution, but with
the cost of far more required computations than traditional methods. This paper proposes a …

An efficient peridynamic framework based on the arc-length method for fracture modeling of brittle and quasi-brittle problems with snapping instabilities

P Sheikhbahaei, F Mossaiby, A Shojaei - Computers & Mathematics with …, 2023 - Elsevier
In this paper an implicit peridynamic (PD) framework is devised for the solution of quasi-
static problems involving brittle and quasi-brittle fracture. A common way to deal with such …

Anisotropic continuum-molecular models: a unified framework based on pair potentials for elasticity, fracture and diffusion-type problems

V Diana - Archives of Computational Methods in Engineering, 2023 - Springer
This paper presents a unified framework for continuum-molecular modeling of anisotropic
elasticity, fracture and diffusion-based problems within a generalized two-dimensional …

The peridigm meshfree peridynamics code

DJ Littlewood, ML Parks, JT Foster, JA Mitchell… - Journal of Peridynamics …, 2024 - Springer
Peridigm is a meshfree peridynamics code written in C++ for use on large-scale parallel
computers. It was originally developed at Sandia National Laboratories and is currently …

On the solution of hyperbolic equations using the peridynamic differential operator

AC Bekar, E Madenci, E Haghighat - Computer Methods in Applied …, 2022 - Elsevier
Numerical solution of hyperbolic differential equations, such as the advection equation,
poses challenges. Classically, this issue has been addressed by using a scheme known as …

Perspectives of Peridynamic Theory in Wind Turbines Computational Modeling

MB Ageze, MA Zeleke, TA Miliket, M Ngoepe - Archives of Computational …, 2024 - Springer
The applications of wind turbines are consistently increasing across the globe. Competent
and sustainable wind energy harnessing inherently requires the implementation of optimal …