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基于能量守恒的HTPB推进剂非线性本构关系
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(西北工业大学燃烧、热结构、与内流场重点实验室, 陕西 西安 710072)

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龚建良(1986-),男,博士生,主要从事航空宇航推进理论与工程的研究。e-mail: gongjianliang2013@yahoo.cn

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Nonlinear Constitutive Relation of HTPB Propellant Based on the First Law of Thermodynamics
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(Science and Technology on Combustion Internal Flow and Thermal-Structure Laboratory, Northwestern Poly Technical University, Xi′an 710072, China)

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    摘要:

    为描述HTPB推进剂中增强粒子的脱湿引起本构关系非线性响应行为, 建立了由粒子、空泡与基体组成的三相物理模型, 给出了在单向拉伸载荷作用下确定本构关系的算法。依据热力学能量守恒定律, 确定了临界脱湿应变方程。利用细观力学Mori-Tanaka方法, 确定了临界应变方程需要的宏观有效模量。针对增强粒子满足对数正态分布的HTPB推进剂进行了数值模拟。结果表明, HTPB本构关系由两个阶段组成, 初始的线弹性阶段与开始发生脱湿后的非线性阶段。体积膨胀应变随空泡体积分数的增大而增大, 而宏观有效模量随空泡体积分数的增大而减小。针对一般复合固体推进剂, 该本构关系的形式较为简单, 适合应用于工程中。

    Abstract:

    The effect of particle/matrix interface debonding on mechanical behavior of HTPB propellant was studied.The three-phase model consists of particles, vacuoles and matrix were given.The constitutive of HTPB propellant was obtained by the algorithms.According to the first law of thermodynamics, the critical strain of debonding was proposed for HTPB propellant.The overall effective modulus of composite solid propellant was determined based on the Mori-Tanaka method.The constitutive relationship of HTPB propellant is proposed for the uniaxial tension.The mechanical behavior of HTPB propellant reinforced by particles characterized with a log normal size distribution was discussed.Results show that the behavior of composite solid propellant is consisted of the initial linear elastic relation and nonlinear constitutive relation with interfacial debonding.With the increase of the vacuole fraction, the dilatation increases, but the effective properties of HTPB propellant decreases.For composite solid propellant, the proposed constitutive relation is easily used in engineering as long as the value of adhesion energy is available.

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引用本文

龚建良,刘佩进,李强.基于能量守恒的HTPB推进剂非线性本构关系[J].含能材料, 2013, 21(3):325-329.
GONG Jian-liang, LIU Pei-jin, LI Qiang. Nonlinear Constitutive Relation of HTPB Propellant Based on the First Law of Thermodynamics[J]. Chinese Journal of Energetic Materials, 2013, 21(3):325-329.

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  • 收稿日期: 2012-04-28
  • 最后修改日期: 2013-01-26
  • 录用日期: 2013-01-24
  • 在线发布日期: 2013-06-24
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