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On the shock dynamics of weak converging shock waves in solid materials

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Abstract

We presented a geometrical shock dynamics model to predict the behavior of weak converging shock waves in solid materials. Taking into consideration Mie–Grüneisen equation of state the analytical solution is obtained for the flow behind the converging shock-front propagating in solids. The analytical formaluas are also obtained for the shock velocity, pressure, density, particle velocity, temperature, speed of sound, adiabatic bulk modulus, and change-in-entropy behind or across the weak converging shock wave. For this it was assumed that the medium is a homogeneous and isotropic, and the disturbances behind the front do not overtake the converging shock waves. The effects due to an increase in (i) the propagation distance from the axis or centre of convergence, (ii) the Grüneisen parameter, and (iii) the material parameter, are explored on the shock velocity and quantities in the shocked titanium, brass, tantalum, iron, stainless steel 304, aluminum 6061-T6 and OFHC copper. The geometrical shock dynamics model provided a clear picture of whether and how the properties of solids are affected due to the passage of converging shock inside the solid materials.

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Acknowledgements

I am very thankful to Prof. Santosh Kumar for discussion. I acknowledge the support and encouragement of my family members.

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  1. Department of Physics, UGC Centre of Advanced Studies, University of Allahabad, Prayagraj, 211002, India

    R. K. Anand

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Anand, R.K. On the shock dynamics of weak converging shock waves in solid materials. Ricerche mat 71, 511–527 (2022). https://doi.org/10.1007/s11587-020-00545-1

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