This short note considers thin circular plates, functionally graded in both axial and transverse directions and loaded in compression on the middle plane by a uniform axisymmetric load. The functional grading is based on recent literature on the subject and we deal with a direct problem for buckling, i.e., given the geometry of the plate and its constitutive properties, the critical load multiplier and the buckling mode are determined by a usual non-triviality condition. Original expressions are found in a nearly closed form and show that suitable functional grading, actually achievable in practice, may lead to gentle solutions. Numerical examples, physical interpretations and comments are provided.

本简短注释考虑的是薄的圆形板，该圆形板在轴向和横向上均具有功能梯度，并通过均匀的轴对称载荷压缩加载在中间平面上。功能分级基于有关该主题的最新文献，我们处理屈曲的直接问题，即，鉴于板的几何形状及其本构特性，临界载荷乘数和屈曲模式由通常的平凡性确定健康）状况。原始的表达形式几乎是封闭的，表明在实践中实际上可以实现的适当的功能分级可能会带来温和的解决方案。提供了数值示例，物理解释和注释。