[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 …

A peridynamic approach to solving general discrete dislocation dynamics problems in plasticity and fracture: Part I. Model description and verification

W Dong, H Liu, J Du, X Zhang, M Huang, Z Li… - International Journal of …, 2022 - Elsevier
In this paper, we present a peridynamic (PD)-based solution for discrete dislocation
dynamics (DDD) problems using the superposition (SP) framework. By replacing the …

Effect of water-cement ratio and size on tensile damage in hardened cement paste: Insight from peridynamic simulations

X Li, X Gu, X Xia, E Madenci, X Chen… - Construction and Building …, 2022 - Elsevier
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 …

A robust peridynamic computational framework for predicting mechanical properties of porous quasi-brittle materials

X Gu, X Li, X Xia, E Madenci, Q Zhang - Composite Structures, 2023 - Elsevier
Prediction of the macroscopic mechanical properties and damage evolution of cement paste
is significant; however, it poses challenges due to the complex multiphase heterogeneity …

An efficient peridynamics-based statistical multiscale method for fracture in composite structures

Z Yang, S Zheng, F Han, J Cui - International Journal of Mechanical …, 2023 - Elsevier
This paper proposes a peridynamics-based statistical multiscale (PSM) framework to
simulate the macroscopic structure fracture with high efficiency. The heterogeneities of …

A peridynamic model for advection–reaction–diffusion problems

C Tian, S Fan, J Du, Z Zhou, Z Chen… - Computer Methods in …, 2023 - Elsevier
In this paper, a bond-based peridynamic (PD) advection–reaction–diffusion model is
formulated to simulate processes involving chemical reactions, flows, and diffusion. In the …

Peridynamic electromechanical modeling of damaging and cracking in conductive composites: A stochastically homogenized approach

P Wu, Z Chen - Composite Structures, 2023 - Elsevier
In this paper, a coupled electromechanical peridynamic model is introduced to describe
damaging and cracking in conducting composites. In this model, electrical peridynamic …

[HTML][HTML] Advances of peridynamics in fracture mechanics

Z Heng, Z Xiong, Q Pizhong - 力学进展, 2022 - lxjz.cstam.org.cn
In peridynamics, nonlocal integrals are proposed to calculate the node internal forces, and a
unified mathematical framework is utilized to describe spatial continuity and discontinuity …

[HTML][HTML] 近场动力学在断裂力学领域的研究进展

张恒, 张雄, 乔丕忠 - 力学进展, 2022 - lxjz.cstam.org.cn
近场动力学采用非局部积分计算节点内力, 利用统一数学框架描述空间连续与非连续,
避免了非连续区局部空间导数引起的应力奇异, 数值上具有无网格属性, 可自然模拟材料结构的 …

Viscoelastic peridynamic fracture analysis for concrete beam with initial crack under impact

D Lu, Z Song, G Wang, X Du - Theoretical and Applied Fracture Mechanics, 2023 - Elsevier
Based on viscoelastic peridynamic method, a numerical model of a three-point bending
concrete beam with an initial crack is established in this work, whose accuracy and …