Accession Number : AD0264966
Title : DERIVATION OF EQUATIONS FOR THE STRESSES AND STRAINS IN A CYLINDRICAL VISCOELASTIC CASE BONDED GRAIN
Descriptive Note : Memorandum rept.
Corporate Author : BALLISTIC RESEARCH LABS ABERDEEN PROVING GROUND MD
Personal Author(s) : ELDER,A.S.
Report Date : JUL 1961
Pagination or Media Count : 49
Abstract : Volterra integral equations governing the stresses and strains in a rocket motor and the enclosed propellant grain are derived. The propellant is considered to be linearly viscoelastic in shear and purely elastic when subjected to hydrostatic pressure. The combined effects of tension, internal pressure, and an eroding inner boundary are considered, with both body force and acceleration terms omitted from the equations of equilibrium. Dynamic stresses under conditions of plane strain are also considered. The treatment is based on the Fourier transform and the complex modulus in shear. Bessel functions of complex argument are required in the solution. (Author)
Descriptors : *INTEGRAL EQUATIONS, *PROPELLANT GRAINS, *STRESSES, CYLINDRICAL BODIES, DEFORMATION, ELASTIC PROPERTIES, FOURIER ANALYSIS, FUNCTIONS(MATHEMATICS), MATHEMATICAL ANALYSIS, MECHANICAL PROPERTIES, PLASTIC PROPERTIES, ROCKET ENGINES
Distribution Statement : APPROVED FOR PUBLIC RELEASE