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Derivation of Equations for the Stresses and Strains in a Cylindrical Viscoelastic Case-bonded Grain

A. S. Elder

出版	Aberdeen Proving Ground, 1961
URL	http://books.google.com.hk/books?id=JRggN7wQcJYC&hl=&source=gbs_api
EBook	FULL_PUBLIC_DOMAIN

註釋

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).