Publication de 6 numéros par an
ISSN Imprimer: 1543-1649
ISSN En ligne: 1940-4352
Indexed in
CONCURRENT COUPLING OF BOND-BASED PERIDYNAMICS AND THE NAVIER EQUATION OF CLASSICAL ELASTICITY BY BLENDING
RÉSUMÉ
The peridynamics theory of solid mechanics has been proposed as a suitable framework for material failure and damage simulation. As a nonlocal model, based upon integro-differential equations, peridynamics is computationally expensive. Concurrent multiscale methods are thus of interest for efficient and accurate solutions of peridynamic problems. The goal is to restrict the use of peridynamic models to regions where discontinuities are present or may be generated, while employing classical local models in domains characterized by smooth displacement fields. In this article, we derive a blending scheme to concurrently couple bond-based peridynamic models and the Navier equation of classical elasticity. We extend the work for one-dimensional linear peridynamic models presented by Seleson et al. (2013a), to general bond-based peridynamic models in higher dimensions, and we provide an error estimate for the coupling scheme. We show analytically and numerically that the blended model does not exhibit ghost forces and is also patch-test consistent. Numerical results demonstrate the accuracy and efficiency of the blended model proposed, suggesting an alternative framework for cases where peridynamic models are too expensive, whereas classical local models are not accurate enough.
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Shojaei Arman, Zaccariotto Mirco, Galvanetto Ugo, Coupling of 2D discretized Peridynamics with a meshless method based on classical elasticity using switching of nodal behaviour, Engineering Computations, 34, 5, 2017. Crossref
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Tao Yunzhe, Tian Xiaochuan, Du Qiang, Nonlocal Models with Heterogeneous Localization and Their Application to Seamless Local-Nonlocal Coupling, Multiscale Modeling & Simulation, 17, 3, 2019. Crossref
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Jiang Feng, Shen Yongxing, Cheng Jun-Bo, An energy-based ghost-force-free multivariate coupling scheme for bond-based peridynamics and classical continuum mechanics, Engineering Fracture Mechanics, 240, 2020. Crossref
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Mossaiby F., Shojaei A., Zaccariotto M., Galvanetto U., OpenCL implementation of a high performance 3D Peridynamic model on graphics accelerators, Computers & Mathematics with Applications, 74, 8, 2017. Crossref
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Zhang Ting, Zhou Xiao-Ping, Qian Qi-Hu, Drucker-Prager plasticity model in the framework of OSB-PD theory with shear deformation, Engineering with Computers, 2021. Crossref
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Ongaro Greta, Seleson Pablo, Galvanetto Ugo, Ni Tao, Zaccariotto Mirco, Overall equilibrium in the coupling of peridynamics and classical continuum mechanics, Computer Methods in Applied Mechanics and Engineering, 381, 2021. Crossref
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D’Elia Marta, Li Xingjie, Seleson Pablo, Tian Xiaochuan, Yu Yue, A Review of Local-to-Nonlocal Coupling Methods in Nonlocal Diffusion and Nonlocal Mechanics, Journal of Peridynamics and Nonlocal Modeling, 4, 1, 2022. Crossref
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Li Shuang, Jin Yanli, Lu Haining, Sun Pengfei, Huang Xiaohua, Chen Zhiyong, Wave dispersion and quantitative accuracy analysis of bond-based peridynamic models with different attenuation functions, Computational Materials Science, 197, 2021. Crossref
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Zhang Yanan, Madenci Erdogan, Zhang Qing, ANSYS implementation of a coupled 3D peridynamic and finite element analysis for crack propagation under quasi-static loading, Engineering Fracture Mechanics, 260, 2022. Crossref
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Shojaei Arman, Hermann Alexander, Cyron Christian J., Seleson Pablo, Silling Stewart A., A hybrid meshfree discretization to improve the numerical performance of peridynamic models, Computer Methods in Applied Mechanics and Engineering, 391, 2022. Crossref
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Madenci Erdogan, Roy Pranesh, Behera Deepak, Coupling of Bond-Based Peridynamics with Finite Elements in ANSYS, in Advances in Peridynamics, 2022. Crossref
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Anicode Sundaram Vinod K., Madenci Erdogan, Seamless coupling of bond- and state-based peridynamic and finite element analyses, Mechanics of Materials, 173, 2022. Crossref
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Han Junzhao, Yu Hao, Pan Jun, Chen Rong, Chen Wenhua, A State-Based Peridynamic Flexural Fatigue Model for Contact and Bending Conditions, Materials, 15, 21, 2022. Crossref