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Finite element method for viscoelastic medium with damage and the application to structural analysis of solid rocket motor grain 被引量:2

Finite element method for viscoelastic medium with damage and the application to structural analysis of solid rocket motor grain
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摘要 This paper studies the damage-viscoelastic behavior of composite solid propellants of solid rocket motors(SRM).Based on viscoelastic theories and strain equivalent hypothesis in damage mechanics,a three-dimensional(3-D)nonlinear viscoelastic constitutive model incorporating with damage is developed.The resulting viscoelastic constitutive equations are numerically discretized by integration algorithm,and a stress-updating method is presented by solving nonlinear equations according to the Newton-Raphson method.A material subroutine of stress-updating is made up and embedded into commercial code of Abaqus.The material subroutine is validated through typical examples.Our results indicate that the finite element results are in good agreement with the analytical ones and have high accuracy,and the suggested method and designed subroutine are efficient and can be further applied to damage-coupling structural analysis of practical SRM grain. This paper studies the damage-viscoelastic behavior of composite solid propellants of solid rocket motors (SRM). Based on viscoelastic theories and strain equivalent hypothesis in damage mechanics, a three-dimensional (3-D) nonlinear viscoelastic constitutive model incorporating with damage is developed. The resulting viscoelastic constitutive equations are numerically discretized by integration algorithm, and a stress-updating method is presented by solving nonlinear equations according to the Newton-Raphson method. A material subroutine of stress-updating is made up and embedded into commercial code of Abaqus. The material subroutine is validated through typical examples. Our results indicate that the finite element results are in good agreement with the analytical ones and have high accuracy, and the suggested method and designed subroutine are efficient and can be further applied to damage-coupling structural analysis of practical SRM grain.
出处 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2014年第5期908-915,共8页 中国科学:物理学、力学、天文学(英文版)
基金 supported by the National Natural Science Foundation of China(Grant No.11132012)
关键词 固体火箭发动机 粘弹性介质 有限元方法 结构分析 应用程序 发动机药柱 非线性方程组 复合固体推进剂 composite solid propellant, viscoelasticity with damage, f'mite element method, integration algorithm, stress-updatingmethod
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