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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,HT PB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。
In order to describe the non-linear response of constitutive relation of enhanced particles desorption in HTPB propellants, a three-phase physical model consisting of particles, vacuoles and matrix was established. The constitutive model was established under uniaxial tensile loading Relationship algorithm. Based on the law of conservation of thermodynamic energy, the critical dehumidification strain equation was determined. Using the Meso-mechanics Mori-Tanaka method, the macroscopic effective moduli needed for the critical strain equation were determined. The numerical simulation of HTPB propellants with augmented particles satisfying the lognormal distribution is carried out. The results show that the constitutive relationship of HT PB is composed of two phases, the initial linear elastic phase and the non-linear phase after starting dehumidification. The volume expansion strain increases with the increase of the volume fraction of the vesicles, while the macroscopic effective modulus decreases with the increase of the volume fraction of the vesicles. For the general composite solid propellant, the form of this constitutive relation is relatively simple and suitable for application in engineering.