13th International Conference on Fracture June 16–21, 2013, Beijing, China -9- In the next example, we analyze the same cracked strip under an impact load with Heaviside time variation 0 ( 0) H t σ − . The normalized SIF is compared with the FEM results in Fig. 3 for R/M=0.5 . The time variable is normalized as / Lc h τ , where 11 / Lc c ρ = is the velocity of longitudinal wave. One can observe again a good agreement of the FEM and MLPG results. Only some differences appear at larger time instants. Figure 3. Temporal variation of the normalized SIF for the central crack in a strip under an impact load Acknowledgements The authors gratefully acknowledge the supports by the Slovak Science and Technology Assistance Agency registered under number APVV-0014-10, the Slovak Grant Agency VEGA-2/0011/13, and the German Research Foundation (DFG, Project-No. ZH 15/23-1). References [1] D. Shechtman, I. Blech, D. Gratias, J.W. Cahn, Metallic phase with long-range orientational order and no translational symmetry. Phys Rev Lett, 53 (1984) 1951–1953. [2] C.Z. Hu, W.Z. Yang, R.H. Wang, Symmetry and physical properties of quasicrystals. Advanced Physics 17 (1997) 345-376. [3] T.Y. Fan, Y.W. Mai, Elasticity theory, fracture mechanics and some relevant thermal properties of quasicrystal materials. Applied Mechanics Review 57 (2004) 325-344. [4] W.M. Zhou, T.Y. Fan, Plane elasticity problem of two-dimensional octagonal quasicrystal and crack problem. Chinese Physics 10 (2001) 743-747. [5] Y.C. Guo, T.Y. Fan, A mode-II Griffith crack in decagonal quasicrystals. Appl Math Mechanics 22 (2001) 1311-1317. [6] L.H. Li, T.Y. Fan, Complex variable function method for solving Griffith crack in an icosahedral quasicrystal. Science in China G51 (2008) 773-780.
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