13th International Conference on Fracture June 16–21, 2013, Beijing, China -7- 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 Deformation/mm Relative thickness grid continuous Figure 7. The relationship of the relative thickness and deformation 5. Concluding remarks Based on the results obtained in the present work, the following main conclusions can be drawn: (1) The relative density of grid cylindrical structure plays an important role in the homogenization process. (2) It can be seen that the equivalent method is credible in a certain dimensionless parameter of relative density or relative thickness range. (3) The deformation of grid cylindrical structure is smaller than that of the homogeneous equivalent for continuous shell structure under impacting, but the biggest error is controlled within 10%. So the equivalent method is reasonable in a certain range. References [1] J.L. Grenestedt, Effective elastic behavior of some models for 'perfect' cellular solids. International Journal of Solids and Structures, 1999, 36(10): 1471-1501. [2] D. Slinchenko,V.E. Verijenko, Structural analysis of composite lattice shells of revolution on the basis of smearing stiffness. Composite Structures, 2001, 54(2-3): 341-348. [3] J. Hohe, W. Becker, Effective elastic properties of triangular grid structures. Composite Structures 1999, 45: 131-145. [4] J. Hohe, C Beschorner, W.Becker, Effective elastic properties of hexagonal and quadrilateral grid structures. Composite Structures, 1999, 46: 73-89. [5] D. Ruan, G. Lu, B Wang, T X Yu, In-plane dynamic crushing of honeycombs-a finite element study. International Journal of Impact Engineering, 2003, 28(2):161-182. [6] D. Ruan, G. Lu, In-plane static and dynamic properties of aluminum honeycombs. Australian Journal of Mechanical Engineering,2006,3:45-60 [7] Z. Zou, S.R. Reid, P J Tan, S Li, J J Harrigan, Dynamic crushing of honeycombs and features of shock fronts．International Journal of Impact Engineering 2009, 36(1):165-176． [8] L.L. Hu，T.X. Yu, Dynamic crushing strength of hexagonal honeycombs. International Journal of Impact Engineering, 2010,37:467-474． [9] S.T. Hong, Mechanical behavior of aluminum honeycombs under multi-axial loading conditions. Michigan: Michigan University, 2005. [10] H. Zarei, M. Kroger, Optimum honeycomb filled crash absorber design. Materials and Design 2008, 29: 193-204.
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