Effects of Solid Strength on the Propagation and Attenuation of Spherical and Plane Shock Waves

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Abstract
To demonstrate the titled effects, basic equations in Lagrangian coordinates are derived for spherical and plane waves in an elastic‐perfectly‐plastic solid. The solution is first discussed qualitatively on the basis of the method of characteristics and then is obtained numerically by using a finite difference method for a shock wave induced by a square stress pulse in time at a boundary. In agreement with Frasier's preliminary conclusions from the results of hypervelocity impact experiments in wax, the present results show that the effects of solid strength are significant when the strength of the shock wave is within two orders of magnitude of the yield stress of the material. It is also indicated that precise control of the loading process is necessary in detecting experimentally the possible effects of solid strength on the attenuation of shock waves.

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