1、 i 编号 毕 业毕 业 设 计设 计 题 目 复合材料热变形的数值模拟 学生姓名 学 号 学 院 专 业 飞行器设计与工程 班 级 指导教师 二一年六月 ii 复合材料热变形的数值模拟 摘 要 本文采用细观有限元模型计算了纤维增强复合材料的热膨胀系数以及细观失配应力，并 研究了基体粘弹性对复合材料热膨胀和热失配应力的影响。首先用 Msc.PATRANNASTRAN 软 件建立了单向纤维的细观单胞模型，计算出单向纤维复合材料在不同纤维体积分数时的热膨 胀系数和热失配应力，并与理论结果进行了比较，在此基础上对理论模型进行了改进。随后 在模型中引入粘弹性，研究了基体粘弹性对单向纤维模型热膨胀系数的
2、影响。在此基础上计 算了对称正交复合材料的热膨胀系数并模拟了非对称正交模型的降温过程。最后建立了纤维 非均匀排布的细观有限元模型，初步研究了纤维排布方式对复合材料热胀性能的影响。 关键词：复合材料，微、细观力学，RVE 模型，周期性边界条件，热膨胀系数，粘弹性 iii Numerical simulation of thermal deformation of composite materials Abstract Meso finite element models were employed for analysis of thermal expansion coefficient an
3、d meso-scale mismatch stress of fiber-reinforced composites. The effects of matrix viscoelasticity on thermal expansion and meso-scale thermal mismatch stress in composites were also evaluated in this thesis. Firstly, a meso-scale cell model of unindirectional fiber composite was established and bas
4、ed upon it the thermal expansion coefficient and thermal mismatch stress with various fiber volume fraction were calculated via Msc. Patran/Nastran package. The results were used to improve the theoretical model. Secondly, the viscoelasticity was introduced in resin matrix material and its effect on the overall thermal expansion of unidirectional fiber composites were investigated . thirdly, the thermal expansion coefficient of symmetric orthogonal composite was
