Solutions for behavior of a functionally graded thick-walled tube subjected to mechanical and thermal loads
Solutions for behavior of a functionally graded thick-walled tube subjected to mechanical and thermal loads
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DOI：
10.1016/j.ijmecsci.2015.03.016
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发表时间：
2015-07
影响因子：
7.3
通讯作者：
Libiao Xin;Guansuo Dui;Shengyou Yang;Dong Zhou
中科院分区：
文献类型：
--
作者：
Libiao Xin;Guansuo Dui;Shengyou Yang;Dong Zhou
对于内压作用下的功能梯度厚壁管问题，我们已经提出了基于Voigt方法的弹性解，假设具有代表性的体积元内具有均匀的应变场。本文讨论了功能梯度厚壁管在轴对称机械载荷和热载荷作用下的热弹性问题，并给出了组分体积分数的解。我们假设管由两个线弹性成分组成，并且一个相的体积分数是沿径向变化的幂函数。在假定具有代表性的体积元内存在均匀应变场的情况下，给出了位移和应力的理论解。理论解与有限元分析的比较验证了假设的有效性。该方法基于细观力学中各组分的体积平均应力与复合材料宏观应力的关系，避免了现有文献中对材料整体参数未知分布规律的假设。此外，该方法适用于不同组分泊松变化比的材料。系统地研究了体积分数、两个热膨胀系数比和两个导热系数比对位移和应力的影响。
For the problem of a functionally graded thick-walled tube subjected to internal pressure, we have already presented the elasticity solution based on the Voigt method with the assumption of a uniform strain field within the representative volume element. This paper discusses the thermoelastic problem of the functionally graded thick-walled tube subjected to both axisymmetric mechanical and thermal loads, and gives the solution in terms of volume fractions of constituents. We assume that the tube consists of two linear elastic constituents and the volume fraction of one phase is a power function varied in the radial direction. The theoretical solutions of the displacement and the stresses are presented under the assumption of a uniform strain field within the representative volume element. Comparisons of the theoretical solutions and the finite element analysis demonstrate the validity of the assumption. Based on the relation of the volume average stresses of constituents and the macroscopic stresses of the composite material in micromechanics, the present method can avoid the assumption of the distribution regularities of unknown overall material parameters appeared in existing papers. Further, the present method is valid for the materials with different Poisson׳s ratios of constituents. The effects of the volume fraction, the ratio of two thermal expansion coefficients and the ratio of two thermal conductivities on the displacement and stresses are systematically studied.