信阳师范学院学报（自然科学版）Issue(4)：486-488,492,4.DOI:10.3969/j.issn.1003-0972.2015.04.006
基于分数阶 Kelvin 黏弹性模型的固体推进剂药柱应力分析
Stress Analysis of Solid Propellant Grain Based on Fractional Derivative Kelvin Viscoelastic Model
摘要
Abstract
Using the similarity between the transformation of viscoelastic materials constitutive relation and elastic materials ,the Laplace transform solutions of elastic modulus and Poisson’s ratio of fractional Kelvin vis‐coelastic model were obtained .The solid propellant grain was regarded as viscoelastic medium ,and the stress‐strain relationship of solid propellant grain was described by the fractional derivative Kelvin constitutive model . The Laplace solutions of the stress of solid propellant grain described by fractional derivative viscoelastic model under uniform internal pressure were obtained by using the elastic‐viscoelastic correspondence principle based on the elastic solution of stress ,and the solutions in time domain were also got by the inverse Laplace transform . The results indicated that the radial stress is always compressive stress and the circumferential stress is always pulling stress ,and the solution of fractional derivative Kelvin viscoelastic model can be degenerated to the solu‐tion of classic Kelvin viscoelastic ,and the absolute value of stress will be greater if the order of fractional deriva‐tive is greater .关键词
推进剂/黏弹性/本构模型/应力分析Key words
propellant/viscoelastic/constitutive model/stress analysis分类
数理科学引用本文复制引用
闫启方,刘林超,闫盼..基于分数阶 Kelvin 黏弹性模型的固体推进剂药柱应力分析[J].信阳师范学院学报（自然科学版）,2015,(4):486-488,492,4.基金项目
国家自然科学基金项目（U1504505）；河南省科技计划项目（142102210063）；河南省高等学校重点科研项目（15A560036）；河南省高等学校青年骨干教师资助计划项目（2013GGJS-121）；信阳师范学院重大课题预研项目（2013ZDYY19）；信阳师范学院青年科研基金项目（2014-Q N-063）；信阳师范学院青年骨干教师资助计划 （）
