| METALS AND METAL MATRIX COMPOSITES |
|
|
|
|
|
| Multi-scale Coupled Numerical Simulation for Crack Propagation and Crack Tip Deformation Mechanism |
| SHENG Ying1,2, ZHU Xingliang3, ZENG Xiangguo4, JIA Bin1,2, WEN Jun1,2
|
1 Shock and Vibration of Engineering Materials and Structures Key Laboratory of Sichuan Province, Mianyang 621000;
2 School of Civil Engineering and Architecture, Southwest University of Science and Technology, Mianyang 621000;
3 School of Mathematics, Southwest Jiaotong University, Chengdu 610031;
4 College of Architecture and Environment, Sichuan University, Chengdu 610065 |
|
|
|
|
Abstract A multi-scale numerical model with five regions was proposed to simulate the deformation around crack tip and the crack propagation in alpha iron, and it carried out the coupling transmission of mechanism parameters among atomistic/meso/continuum scales. Region Ⅴ was at macro scale, in which FEM was applied on the plate with a side crack to obtain the dynamic numerical analysis. The stress intensity factor KI was obtained through the virtual crack closure technique (VCCT). Region Ⅳ surrounding the crack tip was at macro scale, which was connected to the macro scale model of region Ⅴ through the formula for stress intensity factor of the finite-width strip. Then the stress boundary condition of the meso scale fracture model of region Ⅳ was obtained and applied to get the displacement field in the region. Region Ⅰ embedded in region Ⅳ was a MD (Molecular dynamics) model, where the crack extension and the crack deformation mechanism such as the crack branching, stacking faults, and vacancies, are obtained through the MD calculation. Region Ⅱ and region Ⅲ acted as the transaction regions between the MD region Ⅰ and the continuous region Ⅳ. The FEM results supplied the loading condition to the MD region through region Ⅲ, while the MD results could amend the FE boundary condition recur to region Ⅱ. The dynamic coupling of mechanical parameters in atomic scale discrete region and in the continuous region was implemented.
|
|
Published: 19 June 2019
|
|
|
| Fund:This work was financially supported by the Open Foundation of Hypervelocity Impact Research Center of CARDC (20183204), the Doctor Foundation in Southwest University of Science and Technology (17zx7149). |
| About author:: Ying Sheng, lecturer of Southwest University of Scie-nce and Technology, received his Ph.D. degree in the major of Solid Mechanics in Sichuan University in 2017. He has published more than 10 journal papers as the first author or corresponding author, and obtained more than 70 national invention patents or new practical patents. His research interests focus on the multiscale numerical simulation of deformation and failure for engineering materials, and experimental and numerical si-mulation of structural vibration and impact.Xingliang Zhu, lecturer of Southwest Jiaotong University. His research interests focus on the numerical anasysis of nonlinear dynamics. |
|
|
1 Liu D, Mingard K , Lord O T,et al. Journal of Nuclear Materials, 2017, 493, 246.
2 Budarapu P R, Reinoso J, Paggi M. Computer Methods in Applied Mechanics & Engineering, 2017, 319, 338.
3 Espinosa-Duran J M, Sereda Y V, Abi-Mansour A, et al. Journal of Chemical Theory & Computation, 2018, 14(2),916.
4 Rapaport D C. The art of molecular dynamics simulation, Cambridge university press, Britain, 2004.
5 Doucet A . Sequential monte carlo methods, John Wiley & Sons, Inc.,USA, 2001.
6 Li M, Liu Y,Tang X S.Journal of Zhejiang University (Engineering Scie-nce), 2017, 51(3), 524(in Chinese).
李明, 刘扬, 唐雪松. 浙江大学学报(工学版), 2017, 51(3), 524.
7 Cao Y,Shi D L.Chinese Journal of Solid Mechanics,2017, 38(3), 263(in Chinese).
曹悦, 施冬莉.固体力学学报, 2017, 38(3), 263.
8 Madelung O. Philosophical Magazine A, 1996, 73(6), 1529.
9 Abraham F F, Broughton J Q, Bernstein N, et al. Europhysics Letters, 2007, 44(6), 783.
10 Fan J. Siam Journal on Multiscale Modeling & Simulation, 2009, 8(1), 228.
11 Shilkrot LE. Physics Review Letter, 2002, 89, 025501.
12 Wagner G J,Liu W K.Journal of Computational Physics, 2003, 190(1), 249.
13 Bai Y L, Wang H Y, Xia M F, et al. Advances in Mechanics, 2006, 58(6), 286.
14 Dong Q, Liu W K, Ruoff R S. Journal of Physical Chemistry B, 2001, 105(44), 10753.
15 Swope W C,Anderson H C.Physical review B, 1982, 41, 7042.
16 Fan J H. Multiscale analysis for deformation and failure of materials,Science Press,China, 2008(in Chinese).
范镜泓. 材料变形与破坏的多尺度分析, 科学出版社, 2008.
17 Leski A. Finite Elements in Analysis and Design, 2007, 43(3), 261. |
|
|
|
渝公网安备50019002502923号 © Editorial Office of Materials Reports.
2019, Vol. 33 
