Library Subscription: Guest
International Journal for Multiscale Computational Engineering

Published 6 issues per year

ISSN Print: 1543-1649

ISSN Online: 1940-4352

The Impact Factor measures the average number of citations received in a particular year by papers published in the journal during the two preceding years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) IF: 1.4 To calculate the five year Impact Factor, citations are counted in 2017 to the previous five years and divided by the source items published in the previous five years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) 5-Year IF: 1.3 The Immediacy Index is the average number of times an article is cited in the year it is published. The journal Immediacy Index indicates how quickly articles in a journal are cited. Immediacy Index: 2.2 The Eigenfactor score, developed by Jevin West and Carl Bergstrom at the University of Washington, is a rating of the total importance of a scientific journal. Journals are rated according to the number of incoming citations, with citations from highly ranked journals weighted to make a larger contribution to the eigenfactor than those from poorly ranked journals. Eigenfactor: 0.00034 The Journal Citation Indicator (JCI) is a single measurement of the field-normalized citation impact of journals in the Web of Science Core Collection across disciplines. The key words here are that the metric is normalized and cross-disciplinary. JCI: 0.46 SJR: 0.333 SNIP: 0.606 CiteScore™:: 3.1 H-Index: 31

Indexed in

CONCURRENT COUPLING OF BOND-BASED PERIDYNAMICS AND THE NAVIER EQUATION OF CLASSICAL ELASTICITY BY BLENDING

Volume 13, Issue 2, 2015, pp. 91-113
DOI: 10.1615/IntJMultCompEng.2014011338
Get accessGet access

ABSTRACT

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.

CITED BY
  1. Silling Stewart, Littlewood David, Seleson Pablo, Variable horizon in a peridynamic medium, Journal of Mechanics of Materials and Structures, 10, 5, 2015. Crossref

  2. Seleson Pablo, Littlewood David J., Convergence studies in meshfree peridynamic simulations, Computers & Mathematics with Applications, 71, 11, 2016. Crossref

  3. Seleson Pablo, Du Qiang, Parks Michael L., On the consistency between nearest-neighbor peridynamic discretizations and discretized classical elasticity models, Computer Methods in Applied Mechanics and Engineering, 311, 2016. Crossref

  4. Shojaei A., Mudric T., Zaccariotto M., Galvanetto U., A coupled meshless finite point/Peridynamic method for 2D dynamic fracture analysis, International Journal of Mechanical Sciences, 119, 2016. Crossref

  5. Han Fei, Lubineau Gilles, Azdoud Yan, Askari Abe, A morphing approach to couple state-based peridynamics with classical continuum mechanics, Computer Methods in Applied Mechanics and Engineering, 301, 2016. Crossref

  6. Xu Feifei, Gunzburger Max, Burkardt John, Du Qiang, A Multiscale Implementation Based on Adaptive Mesh Refinement for the Nonlocal Peridynamics Model in One Dimension, Multiscale Modeling & Simulation, 14, 1, 2016. Crossref

  7. Ren Huilong, Zhuang Xiaoying, Rabczuk Timon, Dual-horizon peridynamics: A stable solution to varying horizons, Computer Methods in Applied Mechanics and Engineering, 318, 2017. Crossref

  8. Li Xingjie Helen, Lu Jianfeng, Quasi-nonlocal Coupling of Nonlocal Diffusions, SIAM Journal on Numerical Analysis, 55, 5, 2017. Crossref

  9. Zaccariotto Mirco, Mudric Teo, Tomasi Davide, Shojaei Arman, Galvanetto Ugo, Coupling of FEM meshes with Peridynamic grids, Computer Methods in Applied Mechanics and Engineering, 330, 2018. Crossref

  10. 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

  11. Du Qiang, Li Xingjie Helen, Lu Jianfeng, Tian Xiaochuan, A Quasi-nonlocal Coupling Method for Nonlocal and Local Diffusion Models, SIAM Journal on Numerical Analysis, 56, 3, 2018. Crossref

  12. Olson Derek, Li Xingjie, Ortner Christoph, Van Koten Brian, Force-based atomistic/continuum blending for multilattices, Numerische Mathematik, 140, 3, 2018. Crossref

  13. Shojaei A., Mossaiby F., Zaccariotto M., Galvanetto U., An adaptive multi-grid peridynamic method for dynamic fracture analysis, International Journal of Mechanical Sciences, 144, 2018. Crossref

  14. Madenci Erdogan, Barut Atila, Dorduncu Mehmet, Phan Nam D., Coupling of peridynamics with finite elements without an overlap zone, 2018 AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2018. Crossref

  15. Nicely Clint, Tang Shaoqiang, Qian Dong, Nonlocal matching boundary conditions for non-ordinary peridynamics with correspondence material model, Computer Methods in Applied Mechanics and Engineering, 338, 2018. Crossref

  16. Yu Yue, Bargos Fabiano F., You Huaiqian, Parks Michael L., Bittencourt Marco L., Karniadakis George E., A partitioned coupling framework for peridynamics and classical theory: Analysis and simulations, Computer Methods in Applied Mechanics and Engineering, 340, 2018. Crossref

  17. Diehl Patrick, Prudhomme Serge, Lévesque Martin, A Review of Benchmark Experiments for the Validation of Peridynamics Models, Journal of Peridynamics and Nonlocal Modeling, 1, 1, 2019. Crossref

  18. Sun Wei, Fish Jacob, Superposition-based coupling of peridynamics and finite element method, Computational Mechanics, 64, 1, 2019. Crossref

  19. Rabczuk Timon, Song Jeong-Hoon, Zhuang Xiaoying, Anitescu Cosmin, A short overview of alternatives for fracture, in Extended Finite Element and Meshfree Methods, 2020. Crossref

  20. Ni Tao, Zaccariotto Mirco, Zhu Qi-Zhi, Galvanetto Ugo, Coupling of FEM and ordinary state-based peridynamics for brittle failure analysis in 3D, Mechanics of Advanced Materials and Structures, 28, 9, 2021. Crossref

  21. 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

  22. Fang Guodong, Liu Shuo, Fu Maoqing, Wang Bing, Wu Zengwen, Liang Jun, A method to couple state-based peridynamics and finite element method for crack propagation problem, Mechanics Research Communications, 95, 2019. Crossref

  23. You Huaiqian, Yu Yue, Kamensky David, An asymptotically compatible formulation for local-to-nonlocal coupling problems without overlapping regions, Computer Methods in Applied Mechanics and Engineering, 366, 2020. Crossref

  24. Yang Dong, He Xiaoqiao, Yi Shenghui, Deng Yajie, Liu Xuefeng, Coupling of peridynamics with finite elements for brittle crack propagation problems, Theoretical and Applied Fracture Mechanics, 107, 2020. Crossref

  25. Chen Jingkai, Jiao Yiyu, Jiang Wenchun, Zhang Yanting, Peridynamics boundary condition treatments via the pseudo-layer enrichment method and variable horizon approach, Mathematics and Mechanics of Solids, 26, 5, 2021. Crossref

  26. Isiet Mewael, Mišković Ilija, Mišković Sanja, Review of peridynamic modelling of material failure and damage due to impact, International Journal of Impact Engineering, 147, 2021. Crossref

  27. Bie Y.H., Liu Z.M., Yang H., Cui X.Y., Abaqus implementation of dual peridynamics for brittle fracture, Computer Methods in Applied Mechanics and Engineering, 372, 2020. Crossref

  28. 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

  29. 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

  30. 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

  31. 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

  32. 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

  33. 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

  34. Jo Gwanghyun, Ha Youn Doh, Effective multigrid algorithms for algebraic system arising from static peridynamic systems, Numerical Algorithms, 89, 2, 2022. Crossref

  35. 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

  36. Liang Xue, Wang Linjuan, Xu Jifeng, Wang Jianxiang, The boundary element method of peridynamics, International Journal for Numerical Methods in Engineering, 122, 20, 2021. Crossref

  37. 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

  38. Galvanetto Ugo, Mudric Teo, Shojaei Arman, Zaccariotto Mirco, An effective way to couple FEM meshes and Peridynamics grids for the solution of static equilibrium problems, Mechanics Research Communications, 76, 2016. Crossref

  39. Madenci Erdogan, Roy Pranesh, Behera Deepak, Coupling of Bond-Based Peridynamics with Finite Elements in ANSYS, in Advances in Peridynamics, 2022. Crossref

  40. Anicode Sundaram Vinod K., Madenci Erdogan, Seamless coupling of bond- and state-based peridynamic and finite element analyses, Mechanics of Materials, 173, 2022. Crossref

  41. 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

Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections Prices and Subscription Policies Begell House Contact Us Language English 中文 Русский Português German French Spain