The paper provides a theoretical analysis of axially stretched rectangular thin plates composed of two differently oriented layers of cubic crystals. In one layer, the crystal has its principal crystallographic orientations parallel to the plate edges, and in the other, the crystal is oriented at a certain angle to the plate plane. The analysis shows that more than fifty cubic crystals with positive anisotropy can form two-layered plates whose effective Young’s modulus is greater than the moduli of both layers, which violates the well-known Voigt’s rule of mixtures. The anomalous behavior of effective Young’s modulus and Poisson’s ratios in the plates depends on the properties of their constituent crystals: the sign and value of anisotropy coefficients and Poisson’s ratio, ratio of Young’s moduli, relative orientation angle, and layer thickness ratio.

中文翻译：

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具有不同层取向的立方晶体的均匀两层薄板

该论文提供了由两个不同取向的立方晶体层组成的轴向拉伸矩形薄板的理论分析。在一层中，晶体的主要晶体取向平行于板边缘，而在另一层中，晶体与板平面成一定角度。分析表明，具有正各向异性的 50 多个立方晶体可以形成两层板，其有效杨氏模量大于两层的模量，这违反了众所周知的 Voigt 混合物规则。板中有效杨氏模量和泊松比的异常行为取决于其组成晶体的性质：各向异性系数和泊松比的符号和值、杨氏模量比、相对取向角、