Thermal buckling of functionally graded plates using a local Kriging meshless method
Thermal buckling of functionally graded plates using a local Kriging meshless method
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DOI：
10.1016/j.compstruct.2013.09.043
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发表时间：
2014-02
影响因子：
6.3
通讯作者：
Lu-Wen Zhang;P. Zhu;K. Liew
中科院分区：
文献类型：
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作者：
Lu-Wen Zhang;P. Zhu;K. Liew
采用局部Kriging无网格法研究了陶瓷-金属功能梯度板的力学和热屈曲行为。基于局部Petrov-Galerkin弱形式公式，结合Kriging插值构造的具有Kronecker δ函数性质的形函数，建立了局部无网格方法。采用高连续性的三次样条函数作为权函数，简化了控制方程的局部弱形式，使内边界上的积分为零。采用一阶剪切变形板理论，假设板的材料性质沿厚度方向沿着呈指数变化，引入横向剪切应变。收敛性和比较研究检查所提出的方法的稳定性和准确性。两种类型的功能梯度材料，Al/Al 2 O3和Ti-6Al-4V/Al 2 O3，被选为力学和热屈曲分析。讨论了体积分数指数、边界条件、长厚比和加载方式等因素对纤维增强复合材料屈曲行为的影响。
The mechanical and thermal buckling behaviors of ceramic–metal functionally grade plates (FGPs) were studied by using a local Kriging meshless method. The local meshless method was developed based on the local Petrov–Galerkin weak-form formulation combined with shape functions having the Kronecker delta function property, constructed by the Kriging interpolation. The cubic spline function of high continuity was used as the weight function to simplify the local weak form of governing equations with the integration on the internal boundaries vanishing. The transverse shear strains of FGPs were incorporated by employing the first-order shear deformation plate theory and plate material properties were assumed to change exponentially along the thickness direction. Convergence and comparison studies examined the stability and accuracy of the presented method. Two types of FGMs, Al/Al2O3and Ti–6Al–4V/Aluminum oxide, were chosen for mechanical and thermal buckling analyses. The influences of volume fraction exponent, boundary condition, length-to-thickness ratio and loading type on the buckling behaviors of FGPs were discussed.