中文摘要：

在Voigt模型下，Barsch（1968）和Johnson（1985）分别给出了立方晶粒各向同性集合和正交集合的非线性弹性本构关系．本文推导出基于Voigt模型的、比Barsch和Johnson结果更一般的、立方晶粒各向异性集合的非线性弹性本构关系，这里金属的各向异性通过织构系数来描述．

英文摘要：

Under Voigt model, Barsch （1968） and Johnson （1985） gave the formula of nonlinearly elastic constitutive relations for isotropic aggregates of cubic crystallites and orthorhombic aggregates of cubic crystallites, respectively. Under Voigt model, herein we obtain an expression of nonlinearly elastic constitutive relation on anisotropic aggregates of cubic crystallites. Our expression is more general than Barsch＇ s and Johnson＇ s. In the paper, the anisotropics of cubic crystal＇ s metals are described by the texture coefficients.