Accession Number : AD0718411

Title :   Shock Formation and Pulse Attenuation in a Nonlinear, Geometrically Dispersive Solid.

Descriptive Note : Technical rept. Dec 69-Oct 70,

Corporate Author : AEROSPACE CORP SAN BERNARDINO CALIF SAN BERNARDINO OPERATIONS

Personal Author(s) : Rausch,P. J.

Report Date : 05 FEB 1971

Pagination or Media Count : 52

Abstract : A generalization of the effective stiffness theory of Herrmann and Achenbach is used with weak shock theory to derive a set of approximate equations describing the propagation of a stress pulse in a nonlinear, geometrically dispersive material. The purpose of this investigation is to determine the effect of an interaction between these mechanisms on shock formation and pulse amplitude attenuation. The nonlinearity which is considered is that due to an increase with increasing stress in the material's bulk modulus. Both step wave and rectangular wave boundary pressure histories are considered. By using a coordinate perturbation technique, a first order solution is found. This solution describes the first order effect of dispersion on shock formation and propagation but not the effect of nonlinearity on the solution for the state variables which describe the dispersing wave. (Author)

Descriptors :   (*SHOCK WAVES, WAVE PROPAGATION), (*COMPOSITE MATERIALS, SHOCK WAVES), ATTENUATION, LAMINATES, SCATTERING, STEEPEST DESCENT METHOD, DEFORMATION, PARTIAL DIFFERENTIAL EQUATIONS, PERTURBATION THEORY

Subject Categories : Laminates and Composite Materials
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE