Thermoelastic Analysis of Functionally Graded Cylinders Under Axial Loading
Thermoelastic Analysis of Functionally Graded Cylinders Under Axial Loading
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DOI：
10.1080/01495730701737803
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发表时间：
2007-12
影响因子：
2.8
通讯作者：
S. A. H. Kordkheili;R. Naghdabadi
中科院分区：
文献类型：
--
作者：
S. A. H. Kordkheili;R. Naghdabadi
给出了功能梯度材料有限长空心圆柱在热载荷、内压和轴向载荷作用下的热弹性解析解。为此目的，平衡的控制微分方程得到使用最小总势能原理。位移场采用一阶剪切变形板壳理论表示，该理论考虑了横向剪切应变和转动。利用轴向位移场分量的傅立叶展开级数，将控制微分方程化为一组线性代数方程。随后，线性代数方程组的解决方案产生的热弹性响应的问题。研究了非均匀性常数对功能梯度材料圆柱体力学行为的影响。结果表明，应力和位移分量表现为非线性，特别是在功能梯度柱的纵向端部附近的区域。
An analytical thermoelasticity solution for hollow finite-length cylinders made of functionally graded materials exposed to thermal loads, internal pressure and axial loadings is presented. For this purpose, the governing differential equations of equilibrium are obtained using the principle of minimum total potential energy. A first-order shear deformation shell theory, which accounts for the transverse shear strains and rotations, is considered for expressing displacement field. The governing differential equations are reduced to a set of linear algebraic equations using Fourier expansion series of the displacement field components in the axial coordinate. Subsequently, solution of the linear algebraic equations yields the thermoelastic response of the problem. The effects of inhomogeneity constant on behavior of the functionally graded cylinder are investigated. According to the results, stress and displacement components behave nonlinearly, especially for the regions near the longitudinal ends of the functionally graded cylinders.