Strong Shock Formation in Bilinear Hardening Media

by S. Sutcliffe,

Serial Information: Journal of the Engineering Mechanics Division, 1963, Vol. 89, Issue 2, Pg. 1-12

Document Type: Journal Paper


When continuously varying stress is applied to a one-dimensional system of bilinear hardening material, strong shocks may form. The ordinary differential equations of the shock wave are derived by the method of characteristics and conservation of momentum. When the location of the shock wave has been established, the stresses can be obtained for all points in the system by the method of characteristics. The differential equation of the shock wave is not integrable in finite form, in general; therefore, a power series is used. It is shown by an example problem that stresses considerably in excess of the maximum input stress may be formed in the interior of the system.

Subject Headings: Shock waves | Differential equations | Wave equations | Hydro power

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