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作为最常用的复合材料,正交异性板大量地使用于各种结构之中。当作用在这些板上的载荷不大、其最大变形比厚度亦小时,应用板的小挠度理论来计算挠度和弯矩即可与实际情况相符。但当板的挠度比厚度不再是小量时,中面应变就必须考虑进去。此时薄膜力在板受载弯曲平衡时起了很大的作用,由此导出了板的非线性理论。正交异性板的非线性微分方程是由苏联人洛斯塔符采夫提出的。
As the most commonly used composite material, orthotropic plates are widely used in various structures. When the load acting on these plates is not large and the maximum deformation is smaller than the thickness, the deflection and bending moment can be calculated by applying the theory of small deflection of the plate to be consistent with the actual situation. However, when the deflection of the plate is no longer smaller than the thickness, the surface strain must be taken into account. At this point, the film force plays a significant role in the load-bending equilibrium of the plate, and the nonlinear theory of the plate is derived. The nonlinear differential equations of orthotropic plates were proposed by the Russians Lostattsev.