Peridynamic Modeling of Brittle Fracture in Mindlin-Reissner Shell Theory

Li, Sai; Lai, Xinmin; Liu, Lisheng

doi:10.32604/cmes.2022.018544

Cited by 2 publications

(2 citation statements)

References 50 publications

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“…Compared with traditional methods, peridynamics has excellent fracture modeling capability [4], which is appealing in damage studies of various materials [5][6][7][8][9]. Apart from these applications, some nonlocal differential operators have been embedded in peridynamic theory, which includes the peridynamic differential operator [10], nonlocal operator method [11], and dual-horizon peridynamics [12].…”

Section: Introductionmentioning

confidence: 99%

An Elastoplastic Fracture Model Based on Bond-Based Peridynamics

Zu,

Liu,

Zhang

et al. 2024

CMES

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Fracture in ductile materials often occurs in conjunction with plastic deformation. However, in the bond-based peridynamic (BB-PD) theory, the classic mechanical stress is not defined inherently. This makes it difficult to describe plasticity directly using the classical plastic theory. To address the above issue, a unified bond-based peridynamics model was proposed as an effective tool to solve elastoplastic fracture problems. Compared to the existing models, the proposed model directly describes the elastoplastic theory at the bond level without the need for additional calculation means. The results obtained in the context of this model are shown to be consistent with FEM results in regard to force-displacement curves, displacement fields, stress fields, and plastic deformation regions. The model exhibits good capability of capturing crack propagation in ductile material failure problems.

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Section: Introductionmentioning

confidence: 99%

An Elastoplastic Fracture Model Based on Bond-Based Peridynamics

Zu,

Liu,

Zhang

et al. 2024

CMES

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“…Yang et al [24] modeled the impact spalling of concrete based on the BA-NOSB PD model for quasi-brittle materials. Li et al [25] presented a PD model using the Mindlin-Reissner shell theory and simulated the brittle fracture of thin shells.…”

Section: Introductionmentioning

confidence: 99%

A Modified Bond-Associated Non-Ordinary State-Based Peridynamic Model for Impact Problems of Quasi-Brittle Materials

et al. 2023

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In this work, we have developed a novel bond-associated non-ordinary state-based peridynamic (BA-NOSB PD) model for the numerical modeling and prediction of the impact response and fracture damage of quasi-brittle materials. First, the improved Johnson-Holmquist (JH2) constitutive relationship is implemented in the framework of BA-NOSB PD theory to describe the nonlinear material response, which also helps to eliminate the zero-energy mode. Afterwards, the volumetric strain in the equation of state is redefined by the introduction of the bond-associated deformation gradient, which can effectively improve the stability and accuracy of the material model. Then, a new general bond-breaking criterion is proposed in the BA-NOSB PD model, which is capable of covering various failure modes of quasi-brittle materials, including the tensile-shear failure that is not commonly considered in the literature. Subsequently, a practical bond-breaking strategy and its computational implementation are presented and discussed by means of energy convergence. Finally, the proposed model is verified by two benchmark numerical examples and demonstrated by the numerical simulation of edge-on impact and normal impact experiments on ceramics. The comparison between our results and references shows good capability and stability for impact problems of quasi-brittle materials. Numerical oscillations and unphysical deformation modes are effectively eliminated, showing strong robustness and bright prospects for relevant applications.

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Peridynamic Modeling of Brittle Fracture in Mindlin-Reissner Shell Theory

Cited by 2 publications

References 50 publications

An Elastoplastic Fracture Model Based on Bond-Based Peridynamics

An Elastoplastic Fracture Model Based on Bond-Based Peridynamics

A Modified Bond-Associated Non-Ordinary State-Based Peridynamic Model for Impact Problems of Quasi-Brittle Materials

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