Download or read book Derivation of Equations for the Stresses and Strains in a Cylindrical Viscoelastic Case-bonded Grain written by A. S. Elder and published by . This book was released on 1961 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).