A review of hydraulic fracturing simulation

B Chen, BR Barboza, Y Sun, J Bai, HR Thomas… - … Methods in Engineering, 2022 - Springer
Along with horizontal drilling techniques, multi-stage hydraulic fracturing has improved shale
gas production significantly in past decades. In order to understand the mechanism of …

[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 …

Dual-horizon peridynamics: A stable solution to varying horizons

H Ren, X Zhuang, T Rabczuk - Computer Methods in Applied Mechanics …, 2017 - Elsevier
In this paper, we present a dual-horizon peridynamics formulation which allows for
simulations with dual-horizon with minimal spurious wave reflection. We prove the general …

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 …

Peridynamics review

A Javili, R Morasata, E Oterkus… - … and Mechanics of …, 2019 - journals.sagepub.com
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 …

[HTML][HTML] A 3-D conjugated bond-pair-based peridynamic formulation for initiation and propagation of cracks in brittle solids

Y Wang, X Zhou, Y Wang, Y Shou - International Journal of Solids and …, 2018 - Elsevier
In this paper, a novel 3D conjugated bond-pair-based peridynamic model is proposed to
simulate the initiation and propagation of cracks in brittle solids. In the proposed numerical …

Surface corrections for peridynamic models in elasticity and fracture

QV Le, F Bobaru - Computational Mechanics, 2018 - Springer
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 …

Peridynamic differential operator and its applications

E Madenci, A Barut, M Futch - Computer Methods in Applied Mechanics …, 2016 - Elsevier
The nonlocal peridynamic theory has been proven extremely robust for predicting damage
nucleation and propagation in materials under complex loading conditions. Its equations of …

Ordinary state-based peridynamics for plastic deformation according to von Mises yield criteria with isotropic hardening

E Madenci, S Oterkus - Journal of the Mechanics and Physics of Solids, 2016 - Elsevier
This study presents the ordinary state-based peridynamic constitutive relations for plastic
deformation based on von Mises yield criteria with isotropic hardening. The peridynamic …

A coupled peridynamics–smoothed particle hydrodynamics model for fracture analysis of fluid–structure interactions

Z Dai, J **e, M Jiang - Ocean Engineering, 2023 - Elsevier
In this paper, a numerical model that couples peridynamics (PD) with smoothed particle
hydrodynamics (SPH) is presented for fracture modeling in fluid–structure interaction (FSI) …