Accession Number : AD0841224

Title :   STRESS WAVE ANALYSIS IN LAYERED THERMOVISCOELASTIC MATERIALS BY THE EXTENDED RITZ METHOD, VOLUME II.

Descriptive Note : Technical rept.,

Corporate Author : ROHM AND HAAS CO HUNTSVILLE AL REDSTONE RESEARCH LABS

Personal Author(s) : Nickell, Robert E.

Report Date : OCT 1968

Pagination or Media Count : 108

Abstract : Stress wave propagation in thermorheologically simple viscoelastic materials was studied through use of the extended Ritz method. A variational principle that characterizes these initial-boundary value problems was derived which yields, as its Euler equations, the equations of motion and of transient heat conduction. A type of thermomechanical coupling is included in the formulation. A direct method of the variational calculus, called the extended Ritz method, is then applied to a class of essentially one-dimensional problems for isotropic materials in plane, cylindrical, and spherical geometries. The resulting computer program was used to solve, approximately, several examples. These solutions are compared, for accuracy, with solutions obtained through numerical inversion of relevant Laplace transforms. A program listing, including instructions on usage, is appended. (Author)

Descriptors :   (*ROCKET PROPELLANT GRAINS, STRESSES), NUMERICAL ANALYSIS, BOUNDARY VALUE PROBLEMS, PARTIAL DIFFERENTIAL EQUATIONS, COMPUTER PROGRAMS, CALCULUS OF VARIATIONS.

Subject Categories : Mechanics
      Solid Rocket Propellants

Distribution Statement : APPROVED FOR PUBLIC RELEASE