[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 …

Nonlocal strong forms of thin plate, gradient elasticity, magneto-electro-elasticity and phase-field fracture by nonlocal operator method

H Ren, X Zhuang, E Oterkus, H Zhu… - Engineering with …, 2023 - Springer
The derivation of nonlocal strong forms for many physical problems remains cumbersome in
traditional methods. In this paper, we apply the variational principle/weighted residual …

The extended peridynamic model for elastoplastic and/or fracture problems

WJ Li, T You, T Ni, QZ Zhu… - International Journal for …, 2022 - Wiley Online Library
The strain‐based implementation method for the extended peridynamic model (XPDM)
resolves the limitation of standard models where only a fixed Poisson's ratio can be …

Peridynamics modelling of projectile penetration into concrete targets

X Liu, X Kong, Q Fang, Y Meng, Y Peng - International Journal of Impact …, 2025 - Elsevier
A non-ordinary state-based peridynamics (NOSB-PD) model is proposed to simulate the
projectile penetration into concrete targets. In this model, the Kong-Fang concrete material …

A novel kinematic-constraint-inspired non-ordinary state-based peridynamics

DL Tian, XP Zhou - Applied Mathematical Modelling, 2022 - Elsevier
The non-ordinary state-based peridynamics (NOSBPD) is attractive because of its ability to
incorporate available constitutive models. However, conventional NOSBPD suffers from …

A stabilized state-based peridynamic heat conduction model for interface thermal resistance problems

Y Hou, X Zhang, S Wang - Applied Mathematical Modelling, 2025 - Elsevier
As the demand for micro/nano-scale electronic devices and composite materials grows,
numerical modeling of interfacial thermal resistance problems has become an integral part …

A bond-augmented stabilized method for numerical oscillations in non-ordinary state-based peridynamics

Y Hou, X Zhang - Engineering Fracture Mechanics, 2024 - Elsevier
Non-ordinary state-based peridynamics has been widely used due to its capability to
combine non-local theory with conventional material models. However, it suffers from …

Numerical modelling of compressible hyperelasticity via smoothed state-based peridynamics

W Yao, X Zhou - Engineering Analysis with Boundary Elements, 2022 - Elsevier
A simply and effective method, smoothed state-based peridynamics, is proposed to simulate
the large deformation and fracture behaviors of general compressible hyperelasticity. The …

Higher-order approximations for stabilizing zero-energy modes in non-ordinary state-based peridynamics models

I Javaheri, J Luo, A Lakshmanan, V Sundararaghavan - AIAA Journal, 2022 - arc.aiaa.org
The non-ordinary state-based peridynamics theory combines non-local dynamic techniques
with a desirable correspondence material principle, allowing for the use of continuum …

An ordinary state-based peridynamics modeling method for simulating anchor bolt pullout in concrete

J Qi, C Li, Y Tie, Y Zheng, Y Duan - Engineering Analysis with Boundary …, 2024 - Elsevier
In this study, an ordinary state-based peridynamics (OSBPD) modeling method is proposed
to simulate the 3D problem of anchor bolt pullout in concrete. The peridynamic methodology …