13th International Conference on Fracture June 16–21, 2013, Beijing, China -9- 1m L= ) are fixed. The analytical solutions agree well with the numerical results for the case of big φ. The maximum deflection decreases with the increasing of φ, and remains more or less constant when φ exceeds 600. In other words, when φ is bigger than 600, the blast-resistance performances of the bottom face sheets of the sandwich plates are good. 5.4. Effect of the relative core density The effect of relative core density ρ to the normalized maximum deflection 1w of the metal sandwich plates subjected to 0.25 I = is shown in Fig. 7, in which 0.1 cH = , 2 0.02 c c hH Hρ + = , 45 φ= o, 1 α= and 1m L= . The analytical solutions [15] are a little smaller than numerical results in a whole, and the bottom face sheet has the smallest maximum deflection at a relative core density 5.5%. Figure 7. The effect of the relative core density ρ to the normalized maximum deflection 1w of bottom face sheets of the sandwich plates 6. Concluding remarks The dynamic response of corrugated sinusoidal plate core sandwich plates under the impulsive loading has been investigated. Good agreement between the analytical predictions and numerical results is achieved. The optimizations of topology with respect to the respective geometric parameters have been obtained. It is shown that the axial force plays an important role in the dynamic large deflection response of corrugated metal sandwich plates and the present analytical procedure is simple and efficient. Acknowledgements This work was supported by the National Natural Science Foundation of China (11102146, 11021202 and 11272246), the National Basic Research Program of China (2011CB610301) and the Fundamental Research Funds for the Central Universities. References [1] M.F. Ashby, A.G. Evans, N.A. Fleck, J.W. Hutchinson, L.J. Gibson, H.N.G. Wadley, Metal Foams: A Design Guide, Butterworth-Heinemann, London, 2000. [2] L.J. Gibson, M.F. Ashby, Cellular Solids: Structure and Properties, Cambridge University Press,
RkJQdWJsaXNoZXIy MjM0NDE=