PSI - Issue 13

Xin Yu et al. / Procedia Structural Integrity 13 (2018) 1037–1042 X. Yu, X. Huang and M. Zheng / Structural Integrity Procedia 0 (2018) 00 – 000

1041 5

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Fig. 2. Shock polar under different incident angles: (a) 0 35  = ; (b) 0 45  = .

3.2. Influence of different EOS on Pressure after reflected shock Pressure after the reflected shock could be obtained with different incident angle 0  and the settled pressure of the incident shock. Figure 3 shows the pressure after reflected shock 2 p vs. incident angle 0  . In general, the pressure after regular reflection is almost the same, no matter which EOS combination is employed. The difference could be negligible for the circumstances of regular reflections. Jump points in the diagram of 2 p vs. incident angle 0  are obvious. It is the critical point separating regular reflection and the irregular reflection. For 1 1.0 p Mbar = , the critical angle from different EOS combinations is about 37 to 42 , while for 1 0.15 p Mbar = , the critical angle from different EOS combinations is about 47 to 57 .The locations of the critical angles from different EOS scattered remarkable. More attention should be paid in the case of lower pressure of incident shock since the influence of the EOS is so marked.

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Fig. 3. Effect of different equations of state on the pressure behind the reflected shock: (a) 1 1 Mbar p = ; (b) 1 0.15 Mbar p = . 4. Conclusion The influence of different forms of EOS on the oblique shock in solid is studied by theoretical analysis method of shock-polar in this paper. The results show that different combinations of EOS have great influence on the pressure after the reflected wave and the types of reflection, which should be carefully adopted in practical applications. However, EOS with vN or Grüneisen equation of state is more accurate than the others.