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Porosity-dependent isogeometric analysis of bi-directional functionally graded plates

机译：双向功能梯度板的孔隙依赖性异诊测分析

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摘要

Based on the first-order shear deformation theory (FSDT) as well as isogeometric analysis (IGA), the static bending, free vibration and buckling analysis of porous bi-directional functionally graded (BDFG) plates are investigated in this paper. The bi-directional gradients vary along the thickness (z-) and x-axis directions according to the power law, and porosity distributions are divided into even and uneven types. With the help of Hamilton principle, the governing equations of porous BDFG plates are derived. Compared with other reported literatures, several examples reveal that the accuracy and convergence of the present IGA model utilizing cubic non-uniform rational B-splines (NURBS). The effects of aspect ratios, boundary conditions, porosity distributions and coefficients on static bending, free vibration and buckling analysis of porous BDFG plates are studied in detail. These results show that increasing the volume fraction of porosity makes considerable effects on the mechanical behaviors of porous BDFG plates. Moreover, the deflections, frequencies and buckling loads of BDFG plates with even porosity are quite sensitive to the variation of porosity coefficients.
机译：基于一阶剪切变形理论（FSDT）以及异构分析（IgA），本文研究了多孔双向功能梯度（BDFG）板的静态弯曲，自由振动和屈曲分析。双向梯度根据电力法沿着厚度（Z-）和X轴方向而变化，并且孔隙分布分为偶数和不均匀的类型。借助汉密尔顿原理，衍生多孔BDFG板的控制方程。与其他报告的文献相比，几个例子揭示了利用立方非均匀Rational B样品（NURBS）的本IGA模型的准确性和收敛性。纵横比，边界条件，孔隙度分布和系数对多孔BDFG板的静态弯曲，自由振动和屈曲分析的影响。这些结果表明，增加孔隙度的体积分数对多孔BDFG板的机械行为产生了相当大的影响。此外，BDFG板的偏转，频率和屈曲负载均匀孔隙率对孔隙系数的变化非常敏感。

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