摘要(英) |
This thesis studies mechanical behavior and failure process of a thin notched plate subjected to uniaxial tension using the discrete element method (DEM). The purpose of this study is to investigate the effects of crystal structure and notch inclination angle on the mechanical responses, crack initiation and propagation process, and crack paths. The proposed DEM model has been verified by the corresponding FEM calculation. The main findings are highlighted as follows: (1) The force-displacement curves for each crystal structure all exhibit wavy profiles and the loading stiffnesses of the curves follow the sequence of hexagonal close-packed (HCP) > face-centered cubic (FCC) > simple cubic (SC) > body-centered cubic (BCC); (2) The stress concentration factor first increases with notch inclination angle, reaches the maximum value (at the notch inclination angle of 30 degrees) and then decreases to the minimum value (at the notch inclination angle of 90 degrees); (3) In general, for the same crystal structure, the larger the stress concentration factor is, the smaller the fracture force is; (4) For the same notch inclination angle, the magnitude order of the boundary displacement is as follows: BCC>SC>FCC>HCP; (5) For all the four crystal structures, the maximum stored strain energy occurs at the notch inclination angle of 90 degrees but the minimum is at the different angle for each crystal structure; (6) The crack generally developed and propagated along the horizontal direction, and the region behind the crack tip shows the compressive contact forces; (7) The SC and BCC crystal structures show a symmetric feature of crack propagation, whereas the FCC and HCP crystal structures exhibit asymmetric characteristics; (8) In such a loading scenario, a plate with an inclined notch subjected to uniaxial tension, the crack initiation and propagation in all the four crystal structures are mainly dominated by the tension mode. |
參考文獻 |
1. P.A. Cundall, O.D.L. Strack, “A discrete numerical model for granular assemblies“, Géotechnique, Vol 29, pp. 47-65, March 1979.
2. D.O. Potyondy and P.A. Cundall, “A bonded-particle model for rock”, International Journal of Rock Mechanics & Mining Sciences, Vol 41, pp. 1329–1364, 2004.
3. Itasca Consulting Group Inc, PFC3D 3.0 (Particle Flow Code in 3 dimensions, Version 3.0), Second Edition, Itasca Consulting Group Inc., Minneapolis, 2003.
4. 劉文智,「以數值模擬層狀岩石巴西試驗」,國立中央大學,碩士論文,民國102年。
5. Y. Tan, D. Yang, and Y. Sheng, “Discrete element method (DEM) modeling of fracture and damage in the machining process of polycrystalline SiC”, Journal of the European Ceramic Society, Vol 29, pp. 1029–1037, 2009.
6. N. Cho, C.D. Martin and D.C. Sego, “A clumped particle model for rock”, International Journal of Rock Mechanics & Mining Sciences, Vol 44, pp. 997–1010, 2007.
7. 張家銓,「分離元素法於擬脆性岩材微觀破裂機制之初探」,國立台北科技大學,碩士論文,民國96年。
8. D. Yang, Y. Sheng, J. Ye and Y. Tan, “Dynamic simulation of crack initiation and propagation in cross-ply laminates by DEM”, Composites Science and Technolog, Vol 71, pp. 1410–1418, 28 July 2011.
9. R. Zhang and J. Li, “Simulation on mechanical behavior of cohesive soil by Distinct Element Method”, Journal of Terramechanics, Vol 43, pp. 303–316, 2006.
10. E.E. Gdoutos, Fracture Mechanics, Second Edition, Springer, Berlin Heidelberg, 2005.
11. D. Gross and T. Seelig, Fracture Mechanics, Second Edition, Springer, Berlin Heidelberg, 2011.
12. T. Belytschko, H. Chen, J. Xu and G. Zi, “Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment”, International Journal for Numerical Methods in Engineering, Vol 58, pp. 1873–1905, November 2003.
13. A. Amarasiri and J. Kodikara, “Use of Material Interfaces in DEM to Simulate Soil Fracture Propagation in Mode I Cracking”, International Journal of Geomechanics, Vol 11, pp. 314–322, August 2011.
14. L.A. Mejía Camones, E. do Amaral Vargas Jr, R.P de Figueiredo and R.Q Velloso, “Application of the discrete element method for modeling of rock crack propagation and coalescence in the step-path failure mechanism”, Engineering Geology, Vol 153, pp. 80–94, 8 February 2013.
15. L.F. Vesga, L.E. Vallejo and S. Lobo-Guerrero, “DEM analysis of the crack propagation in brittle clays under uniaxial compression tests”, International Journal for Numerical and Analytical Methods in Geomechanics, Vol 32, pp. 1405–1415, 15 August 2008. |