Coupled peridynamic model for geometrically nonlinear deformation and fracture analysis of slender beam structures
Coupled peridynamic model for geometrically nonlinear deformation and fracture analysis of slender beam structures
复制标题
细长梁结构几何非线性变形和断裂分析的耦合近场动力学模型
DOI：
10.1002/nme.6984
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发表时间：
2022-04
影响因子：
2.9
通讯作者：
Hu Ping
中科院分区：
文献类型：
--
作者：
Zheng guojun;Li Lili;Han Fei;Xia Yang;Shen Guozhe;Hu Ping
Slender beam structures can experience large displacements, large rotations and fractures, even if the structures are only subjected to small loads. A coupling model of peridynamics (PD) and classical continuum mechanics (CCM) for beam fracture analysis in geometrically nonlinear deformations is developed in this study. Firstly, the formulations of virtually nonlinear strain energy density of each incremental step are obtained by using the updated Lagrangian (UL) formulation and von Karman beam theory, then the nonlinear PD beam parameters are established on the geometrically nonlinear micro‐beam bonds via the principle of virtual work and homogenization. Secondly, the coupling model of PD and CCM for geometrically nonlinear beams is proposed, for which the morphing method is applied to create a balance between the stiffness of geometrically nonlinear CCM beam model and the weighted coefficients of geometrically nonlinear PD beam model. Thirdly, a new fracture criterion for PD beam models considering the effect of geometrical nonlinearity is adopted. Finally, the large deformation and fracture analysis of straight beam, spiral slender beam and complex frame subjected to different loading conditions illustrate the validity and accuracy of the proposed PD‐CCM coupling model.
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DOI：
10.1016/j.jcp.2014.01.027
发表时间：
2014-05
期刊：
J. Comput. Phys.
影响因子：
--
作者：
S. Oterkus;E. Madenci;A. Agwai
通讯作者：
S. Oterkus;E. Madenci;A. Agwai
影响因子：
5.3
作者：
Lubineau, Gilles;Azdoud, Yan;Askari, Abe
通讯作者：
Askari, Abe
影响因子：
2.6
作者：
C. Diyaroglu;E. Oterkus;S. Oterkus
通讯作者：
C. Diyaroglu;E. Oterkus;S. Oterkus
DOI：
10.32604/cmes.2020.010804
发表时间：
2020-07
期刊：
Computer Modeling in Engineering & Sciences
影响因子：
--
作者：
Zhenghao Yang;E. Oterkus;S. Oterkus
通讯作者：
Zhenghao Yang;E. Oterkus;S. Oterkus
影响因子：
6.3
作者：
Hu, Y. L.;Madenci, E.
通讯作者：
Madenci, E.