[HTML][HTML] A review of peridynamic theory and nonlocal operators along with their computer implementations

M Dorduncu, H Ren, X Zhuang, S Silling… - Computers & …, 2024 - Elsevier
This study presents a comprehensive exploration of Peridynamic (PD) theory, with a specific
focus on its theoretical foundations and practical implementations, including various PD …

State-of-the-art review on the progressive failure characteristics of geomaterials in peridynamic theory

XP Zhou, YT Wang - Journal of Engineering Mechanics, 2021 - ascelibrary.org
Peridynamic (PD) theory is an integral-type nonlocal continuum mechanics theory that
reformulates the equation of motion in local continuum mechanics as an integrodifferential …

A multi-horizon fully coupled thermo-mechanical peridynamics

C Yang, F Zhu, J Zhao - Journal of the Mechanics and Physics of Solids, 2024 - Elsevier
This paper presents a fully coupled thermo-mechanical peridynamic model for simulating
interactive thermo-mechanical material responses and thermally induced fracturing of solids …

Coupling of non‐ordinary state‐based peridynamics and finite element method for fracture propagation in saturated porous media

W Sun, J Fish - … Journal for Numerical and Analytical Methods …, 2021 - Wiley Online Library
In the present manuscript fracture propagation in a saturated porous medium is modeled
based on the classical Biot theory, where solid skeleton and fluid flow are represented by …

Computational coupled large‐deformation periporomechanics for dynamic failure and fracturing in variably saturated porous media

S Menon, X Song - International Journal for Numerical Methods …, 2023 - Wiley Online Library
The large‐deformation mechanics and multiphysics of continuous or fracturing partially
saturated porous media under static and dynamic loads are significant in engineering and …

Computational Cosserat periporomechanics for strain localization and cracking in deformable porous media

X Song, H Pashazad - International Journal of Solids and Structures, 2024 - Elsevier
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 …

A mathematical framework for multiphase poromechanics in multiple porosity media

Q Zhang, X Yan, Z Li - Computers and Geotechnics, 2022 - Elsevier
Unconventional geomaterials often exhibit multi-modal pore size distribution. We have
developed a comprehensive framework for porous media exhibiting multiple porosity scales …

Numerical simulation of forerunning fracture in saturated porous solids with hybrid fem/peridynamic model

T Ni, F Pesavento, M Zaccariotto, U Galvanetto… - Computers and …, 2021 - Elsevier
In this paper, a novel hybrid FEM and Peridynamic modeling approach proposed in Ni et
al.(2020) is used to predict the dynamic solution of hydro-mechanical coupled problems. A …

A stabilized two-phase PD-FEM coupling approach for modeling partially saturated porous media

W Sun, J Fish, F Liu, Y Lu - Acta Geotechnica, 2023 - Springer
In the present manuscript, a stabilized two-phase PD-FEM coupling approach is developed
for simulating deformation and fracture propagation in partially saturated porous media …

Computational multiphase micro‐periporomechanics for dynamic shear banding and fracturing of unsaturated porous media

H Pashazad, X Song - International Journal for Numerical …, 2024 - Wiley Online Library
Dynamic shearing banding and fracturing in unsaturated porous media are significant
problems in engineering and science. This article proposes a multiphase micro …