Three-dimensional analysis for transient coupled thermoelastic response of a functionally graded rectangular plate

Three-dimensional analysis for transient coupled thermoelastic response of a functionally graded rectangular plate
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功能梯度矩形板瞬态耦合热弹性响应的三维分析

DOI:
10.1016/j.jsv.2011.03.015
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发表时间:
2011-08
影响因子:
4.7
通讯作者:
--
中科院分区:
工程技术2区
文献类型:
--
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基于Lord-Shulman理论,采用广义耦合热弹性理论研究了功能梯度矩形板的瞬态热弹性响应。采用状态空间法,以三个位移分量、三个应力分量、温度和热流为状态变量,建立了功能梯度矩形板在时变热载荷作用下的状态方程。通过给出简支边界条件,并假设板的材料性质沿厚度坐标沿着呈指数规律分布,利用数值拉普拉斯变换和打靶法求解了三维功能梯度矩形板在热冲击作用下的瞬态热响应。研究了材料组分的体积分数分布对温度变化、位移和应力分布等热响应的影响。
The generalized coupled thermoelasticity based on the Lord–Shulman theory is considered to study the transient thermoelastic response of functionally graded rectangular plates. The state equations of functionally graded rectangular plate subjected to time-dependent thermal loads were established by using of state space approach, in which three displacement components, three stress components, the temperature and the heat flux were chosen as state variables. By giving simply supported boundary conditions and assuming that the material properties of the plate have an exponential law distribution along the thickness-coordinate, the equations were solved by the numerical Laplace transformations and shooting methods for transient thermal responses of a three dimensional functionally graded rectangular plate due to a thermal shock on its top surface. Effects of the volume fraction distributions of material constituents on the thermal responses, including the temperature change, the displacement and the stresses distributions were investigated.
DOI: 10.2514/2.1805
发表时间: 2002
期刊: AIAA Journal
影响因子: 2.5
作者:
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