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A Message Passing Neural Network Surrogate Model for Bond-Associated Peridynamic Material Correspondence Formulation

Autor: Hu, Xuan, Chen, Qijun, Luo, Nicholas H., Zheng, Richy J., Li, Shaofan

Peridynamics is a non-local continuum mechanics theory that offers unique advantages for modeling problems involving discontinuities and complex deformations. Within the peridynamic framework, various formulations exist, among which the material corr

Externí odkaz: http://arxiv.org/abs/2411.08911

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Series solutions for clamped peridynamic beams using fourth-order eigenfunctions

Autor: Wang, Ziyu, Christov, Ivan C.

We propose an analytical approach to solving nonlocal generalizations of the Euler--Bernoulli beam. Specifically, we consider a version of the governing equation recently derived under the theory of peridynamics. We focus on the clamped--clamped case

Externí odkaz: http://arxiv.org/abs/2412.09702

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Adaptive coupling of peridynamic and classical continuum mechanical models driven by broken bond/strength criteria for structural dynamic failure

Autor: Li, JiuYi, Liu, ShanKun, Han, Fei, Mei, Yong, Sun, YunHou, Zhou, FengJun

Peridynamics (PD) is widely used to simulate structural failure. However, PD models are time-consuming. To improve the computational efficiency, we developed an adaptive coupling model between PD and classical continuum mechanics (PD-CCM) based on th

Externí odkaz: http://arxiv.org/abs/2410.17527

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An Efficient Explicit-Implicit Adaptive Method for Peridynamic Modelling of Quasi-Static Fracture Formation and Evolution

Autor: Hu, Shiwei, Xiao, Tianbai, Han, Mingshuo, Li, Zuoxu, Oterkus, Erkan, Oterkus, Selda, Zhang, Yonghao

Understanding the quasi-static fracture formation and evolution is essential for assessing the mechanical properties and structural load-bearing capacity of materials. Peridynamics (PD) provides an effective computational method to depict fracture me

Externí odkaz: http://arxiv.org/abs/2410.12552

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A Unified Framework of Bond-Associated Peridynamic Material Correspondence Models

Autor: Hu, Xuan, Chen, Hailong, Zhang, Yichi, Wang, Zening

This paper presents a unified framework for bond-associated peridynamic material correspondence models that were proposed to inherently address the issue of material instability or existence of zero-energy modes in the conventional correspondence for

Externí odkaz: http://arxiv.org/abs/2410.00934

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