This paper presents three-dimensional solutions for the buckling of variable angle tow (VAT) composite laminated plates. The p-version finite element with hierarchical basis functions is adopted to determine the buckling of VAT composite laminates with different parameters. Inter-element compatibility is achieved by matching the generalized displacements at the vertices, edges, and faces shared by neighboring elements. The buckling loads of symmetrical and anti-symmetrical laminates with various boundary conditions are obtained. A convergence study is performed and the accuracy of the method is confirmed by comparing the numerical results with those in the literatures. The verified results indicate that the present 3D p-FEM method is accurate for the buckling analysis of VAT composite laminated plates, and that these three-dimensional results may serve as a benchmark for future studies.

本文提出了可变角度拖曳（VAT）复合层压板屈曲的三维解决方案。采用具有层次基函数的p- version有限元确定不同参数的增值税复合材料层压板的屈曲。通过匹配相邻元素共享的顶点，边和面处的广义位移，可以实现元素间兼容性。得到了具有不同边界条件的对称和非对称层压板的屈曲载荷。通过将数值结果与文献中的结果进行比较，进行了收敛研究并确认了该方法的准确性。验证结果表明，当前的3D p-FEM方法对于VAT复合材料层压板的屈曲分析是准确的，并且这些三维结果可作为将来研究的基准。