Accession Number : AD0674754

Title :   INTERACTION OF SHOCK WAVES DUE TO COMBINED TWO SHEAR LOADINGS.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DIV OF ENGINEERING MECHANICS

Personal Author(s) : Ting,Thomas T. C.

Report Date : MAY 1968

Pagination or Media Count : 40

Abstract : The propagation of plane elastic-plastic waves due to combined two shear loadings is studied in which the materials are assumed to be elastic, isotropic work hardening. For a general strain hardening law, analytical solutions can be obtained only for simple waves and for two shear waves which are reducible to a single shear wave. If the material is elastic, linearly strain hardening, analytical solutions can also be obtained for two shear waves due to a series of step loadings and unloadings. The solution consists of shock waves propagating at constant speeds with a constant stress state between the shocks. The interaction of two or more shocks meeting at a point, and the reflection of a shock wave from a rigid surface or from an interface between two different media are studied in detail. The results can be applied to two shear waves in a plate of finite thickness which consists of two or more layers of different materials. It is shown briefly that similar results are obtained for materials with elastic, kinematical work hardening behavior. (Author)

Descriptors :   (*SHOCK WAVES, INTERACTIONS), MECHANICAL WAVES, SHEAR STRESSES, LOADS(FORCES), PLASTIC PROPERTIES, WAVEFORM GENERATORS, WAVE PROPAGATION, STRAIN HARDENING, MATERIALS, VELOCITY, FLAT PLATE MODELS, EQUATIONS OF MOTION, MATHEMATICAL ANALYSIS, THICKNESS

Subject Categories : Radiofrequency Wave Propagation

Distribution Statement : APPROVED FOR PUBLIC RELEASE