Transport Equation for Shock Strenght in Hyperelastic Rods
The singular surface theory and perturbation method of solution are used to examine a 1–D shock wave propagation problem in a semi-infinite rod of slowly varying cross-sectional area. The isentropic approximation is used. The weak nonlinear shock propagates into a region, which is homogeneously deformed and at rest. A numerical analysis for decreasing and increasing cross-sectional areas, and for a special type of nonlinear elastic material is conducted.
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