关键词: 边界元;固体推进剂;粘弹性

Abstract: A boudary element method of time domain is developed for analyzing stresses and deformations in solid propellant grain cast in engine shell. The method is based on the assumption of linear viscoelasticity with hereditary integral form of stresse-strain relation, constant bulk modulus, homogenous,and isotropic material. In order to examine the proposed method, a two-dimensional boundary element program of plane strain is worked out. The solutions for two simple problems are compared with exact and other approximate solution. Numerical results show that proposed method has the advantage of high precision, low computer storage and short solution times.

Key words: Boundary element method;Solid propellant;Viscoelasticity.