Abstract It is demonstrated that having solved the periodicity cell problem for fiber reinforced composite, it is possible to obtain the homogenized (also referred to effective, overall, macroscopic) strength criterion for the composite (i.e. the criterion for the strength of the constitutive elements of composite in terms of homogenized stresses or strains). The method of construction of the homogenized strength criterion is adapted for the case when the periodicity cell problem is solved numerically. For composite reinforced with orthogonal systems of fibers, the homogenized strength criterion may be obtained in explicit form. It possible because the maximum local stresses in composites reinforced with orthogonal systems of fibers appear in certain areas and have special forms. An example is present for the case when Mises strength criterion is used for fibers and binder. Although the homogenized strength criterion is written in the explicit form, the numerical computations are still required to compute the constants in this.

中文翻译：

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正交纤维系统增强复合材料的均匀强度准则

摘要 证明了在解决了纤维增强复合材料的周期性单元问题后，可以获得复合材料的均质化（也称为有效的、整体的、宏观的）强度准则（即本构单元强度准则）。复合材料的均匀应力或应变）。均质强度准则的构造方法适用于数值求解周期性单元问题的情况。对于用正交纤维系统增强的复合材料，可以以明确的形式获得均质强度准则。这可能是因为用正交纤维系统增强的复合材料中的最大局部应力出现在某些区域并具有特殊形式。当米塞斯强度准则用于纤维和粘合剂时，存在一个例子。尽管均质强度准则以显式形式编写，但仍需要数值计算来计算其中的常数。