Accession Number : AD0679070

Title :   NONLINEAR VISCOELASTIC STRESS ANALYSIS WITH SMALL DILATATIONAL CHANGES.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF APPLIED MECHANICS

Personal Author(s) : Ting,Edward C.

Report Date : SEP 1968

Pagination or Media Count : 90

Abstract : A derivation is given of the nonlinear stress constitutive equation for viscoelastic materials with small dilatational changes. This particular derivation results in a form for the constitutive equations which is suitable for application in solving boundary value problems. The resulting equations are applied to obtain the quasi-static solution for a pressurized viscoelastic hollow cylinder bonded to an elastic casing. The inner boundary of the cylinder is assumed to be ablating and hence time-dependent. The problem is solved for linear and nonlinear, both incompressible and compressible, materials. For linear problems, both analytical and numerical solutions are obtained. For nonlinear problems, numerical solutions are evaluated by using finite difference techniques and assuming particular forms of kernel functions in the constitutive equation. The linear and nonlinear results are compared. The effects due to the material nonlinearity and compressibility are discussed. (Author)

Descriptors :   (*CYLINDRICAL BODIES, VISCOELASTICITY), (*PROPELLANT GRAINS, MECHANICAL PROPERTIES), SOLID ROCKET PROPELLANTS, SURFACE PROPERTIES, ABLATION, NONLINEAR SYSTEMS, STRUCTURAL PROPERTIES, STRESSES, NUMERICAL ANALYSIS, APPROXIMATION(MATHEMATICS), GROUPS(MATHEMATICS), PRESSURIZATION, LOADS(FORCES), COMPRESSIVE PROPERTIES, STRAIN(MECHANICS), PARTIAL DIFFERENTIAL EQUATIONS, INTEGRAL EQUATIONS

Subject Categories : Mechanics
      Solid Rocket Propellants

Distribution Statement : APPROVED FOR PUBLIC RELEASE