The pure cross-anisotropy is understood as a special scaling of strain (or stress). The scaled tensor is used as an argument in the elastic stiffness (or compliance). Such anisotropy can be overlaid on the top of any elastic stiffness, in particular on one obtained from an elastic potential with its own stress-induced anisotropy. This superposition does not violate the Second Law. The method can be also applied to other functions like plastic potentials or yield surfaces, wherever some cross-anisotropy is desired. The pure cross-anisotropy is described by the sedimentation vector and at most two constants. Scaling with more than two purely anisotropic constants is shown impossible. The formulation was compared with experiments and alternative approaches. Static and dynamic calibration of the pure anisotropy is also discussed. Graphic representation of stiffness with the popular response envelopes requires some enhancement for anisotropy. Several examples are presented. All derivations and examples were accomplished using the algebra program Mathematica.

纯交叉各向异性被理解为应变（或应力）的特殊缩放。缩放张量用作弹性刚度（或顺应性）的参数。这种各向异性可以叠加在任何弹性刚度的顶部，特别是从具有自身应力引起的各向异性的弹性势获得的弹性刚度。这种叠加并不违反第二定律。该方法也可以应用于其他函数，如塑性势或屈服面，只要需要一些交叉各向异性。纯交叉各向异性由沉降矢量和至多两个常数描述。用两个以上的纯各向异性常数进行缩放是不可能的。该配方与实验和替代方法进行了比较。还讨论了纯各向异性的静态和动态校准。具有流行响应包络的刚度图形表示需要对各向异性进行一些增强。给出了几个例子。所有的推导和例子都是使用代数程序 Mathematica 完成的。