Damage behavior in Bi-2212 round wire with 3D elastoplastic peridynamic

Xiao, Yanze; Wu, Jianbing; Shen, Huiting; Hu, Xiaokun; Yong, Huadong

doi:10.1007/s10409-023-22431-x

Cited by 7 publications

(1 citation statement)

References 53 publications

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“…This advantage arises from its unique approach of replacing spatial differential operators with integral operators in the equilibrium equation. Over time, peridynamic theory has seen continuous development and improvement, leading to the introduction of various theoretical models, e.g., the dual horizon peridynamics [3,4], nonlocal operator methods [5], element-based peridynamic models [6,7], viscoelastic models [8], and elastoplastic theories [9]. At the same time, a series of numerical approaches have emerged to leverage the advantages of Peridynamics (PD) in addressing various issues, including discontinuous problems [10,11], microscale problems [12,13] and multiscale problems [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

The Boundary Element Method for Ordinary State-Based Peridynamics

Liang,

Wang

2024

CMES

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The peridynamics (PD), as a promising nonlocal continuum mechanics theory, shines in solving discontinuous problems. Up to now, various numerical methods, such as the peridynamic mesh-free particle method (PD-MPM), peridynamic finite element method (PD-FEM), and peridynamic boundary element method (PD-BEM), have been proposed. PD-BEM, in particular, outperforms other methods by eliminating spurious boundary softening, efficiently handling infinite problems, and ensuring high computational accuracy. However, the existing PD-BEM is constructed exclusively for bond-based peridynamics (BBPD) with fixed Poisson's ratio, limiting its applicability to crack propagation problems and scenarios involving infinite or semi-infinite problems. In this paper, we address these limitations by introducing the boundary element method (BEM) for ordinary state-based peridynamics (OSPD-BEM). Additionally, we present a crack propagation model embedded within the framework of OSPD-BEM to simulate crack propagations. To validate the effectiveness of OSPD-BEM, we conduct four numerical examples: deformation under uniaxial loading, crack initiation in a double-notched specimen, wedge-splitting test, and threepoint bending test. The results demonstrate the accuracy and efficiency of OSPD-BEM, highlighting its capability to successfully eliminate spurious boundary softening phenomena under varying Poisson's ratios. Moreover, OSPD-BEM significantly reduces computational time and exhibits greater consistency with experimental results compared to PD-MPM.

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