固体火箭技术2026，Vol.49Issue(2)：249-259,11.DOI:10.7673/j.issn.1006-2793.2026.02.009
基于分数阶Maxwell模型的NEPE推进剂宽泛应变率力学行为研究
Mechanical behavior of NEPE propellant at a wide range of strain rates based on the fractional-order Maxwell model
摘要
Abstract
In view of the distinct mechanical responses exhibited by solid propellants across a wide range of strain rates,the three-dimensional fractional-order Maxwell constitutive model and its difference iterative scheme were derived by using the Grünwald-Letnikov definition of the fractional-order operator.The ability of the fractional-order viscoelastic model to characterize the constitutive relationship of NEPE propellants under a wide range of strain rates was systematically investigated.Based on the Split Hopkinson pressure bar tests and high-speed tensile experimental data of NEPE propellants,the parameters of the fractional Maxwell constitutive model were identified using a genetic algorithm,and the fractional Maxwell constitutive model was verified using the test data at strain rates of 3 500 s-1,4 100 s-1 and 4 600 s-1.The results demonstrate that this constitutive model exhibits a strong rate dependence.For the high,medium and low strain rates,the viscoelastic mechanical behavior under multiple strain rates can be well characterized by a set of parameters respectively.The relative errors between the full-duration experimental values and the analytical solutions are basically less than 20%,while those between the analytical solutions and finite element numerical solutions are less than 2%.This validates the feasibility and accuracy of the three-dimensional fractional-order Maxwell model in describing the mechanical behaviors of NEPE propellants over a wide range of strain rates.关键词
分数阶Maxwell模型/NEPE推进剂/宽泛应变率/遗传算法Key words
fractional-order Maxwell model/NEPE propellant/wide range of strain rates/genetic-algorithm分类
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王新彤,任全彬,何高让,郜婕,梁渊哲..基于分数阶Maxwell模型的NEPE推进剂宽泛应变率力学行为研究[J].固体火箭技术,2026,49(2):249-259,11.基金项目
国家级项目. （）
