【论文标题】 功能梯度开孔扁球壳的非线性动态屈曲
【英文标题】 Nonlinear Dynamic Buckling of Functionally Graded Material Truncated Shallow Spherical Shells
【中文摘要】 功能梯度材料是一种典型的非均匀材料,兼顾了各组分材料自身的优点,并以其在空间位置上呈连续变化的组分体积含量,而使得功能梯度材料性质在空间位置上也呈连续变化,从而消除了材料性能的突变。热障功能梯度材料在高温环境下呈现出优良的性能,被认为是可用于未来高速航天器、核工业以及化学工业等领域的一种潜在材料。功能梯度材料板壳结构的力学行为特性已成为固体力学研究的重要内容。第一章回顾和综述了功能梯度材料的发展历程及热机械力学行为的研究现状。第二章,在弹性假设基础上,考虑了横向剪切变形的影响,建立了考虑温度场和荷载作用下的面内正交各向异性的开孔功能梯度扁球壳的非线性动态问题的控制方程。第三章研究了功能梯度复合材料开顶扁球壳的非线性动态屈曲问题,建立了考虑横向剪切的开项扁球壳在荷载和温度场作用下的非线性动态方程,根据突变理论建立了该壳体动态屈曲的突变模型,得到了内边悬空、外边固定夹紧功能梯度复合材料开顶扁球壳动态屈曲的临界方程。分析了引起动态屈曲因素,讨论了动态屈曲发生

【英文摘要】 Functionally graded material(FGM) is a kind of composite materials that are microscopically inhomogeneous,taking advantage of the merits of constituent materials adequately.By gradually varying the volume fraction of the constituent materials,FGM possesses the gradient in properties,i.e,the thermal and mechanical properties vary smoothly and continuously from one surface to the other,which eliminates the mismatch of mechanical properties induced by the interface.Such that,FGM is considered as a potential structural material for the future high-speed spacecraft,nuclear reactor and chemical plants,duo to its excellent performance in high temperature environments.The studies of mechanical behaviors of functionally graded material plates and shells have being become one of the important direction in solid mechanics.In chapter one,the thermomechanical fracture problems and development of functionally graded materials are reviewed.And in chaper two,based on elastic hypothesis,a set of nonlinear equations which of dynamic for functionally graded materials truncated orthotropic shallow spherical shells including transverse shear subjected to the plane-stress and temperature field are established。The problem of nonlinear dynamic buckling of functionally graded materials truncated shallow spherical shells including transverse shear has been studed in chaper three.The differential equations of nonlinear vibration of the truncated shallow spherical shell which subjected to the lode and temperature are obtained.The cusp catastrophe model of nonlinear dynamic buckling is developed by using catastrophe theory.The dynamic buckling condition are discussed and the critical equation of dynamic buckling of the functionally graded materials truncated shallow spherical shell is obtained.We analysis the factors which arising from the dynamic buckling.

【中文关键词】 功能梯度复合材料; 开孔扁球壳; 非线性; 动态屈曲
【英文关键词】 Functional graded material; Truncated shallow spherical shells; Nonlinear; Dynamic buckling

【论文目录】
摘要 4-5
ABSTRACT 5
第一章 绪论 7-17
    1.1 研究背景 7-8
    1.2 功能梯度材料简介 8-12
    1.3 功能梯度材料结构研究现状 12-15
    1.4 本文工作 15-17
第二章 功能梯度开孔扁球壳在荷载和温度场作用下的非线性动态问题 17-30
    2.1 引言 17
    2.2 问题的力学模型 17-18
    2.3 基本方程的推导 18-28
    2.4 问题的无量纲控制方程 28-30
第三章 一种特殊功能梯度开孔扁球壳在荷载和温度场作用下的非线性动态屈曲 30-44
    3.1 引言 30-34
    3.2 基本方程 34-36
    3.3 动态屈曲的突变模型 36-40
    3.4 突变流行特性分析 40-44
第四章 总结与展望 44-45
    4.1 总结 44
    4.2 展望 44-45
参考文献 45-50
致谢 50