The rubber-cord layers in passenger car tires are usually calculated assuming that deformations in them are small. However, rubber-cord layers can experience deformations of up to 15%. In calculations, the rubber-cordis usually replaced by an effective material. In this work, a phenomenological approach is used to construct a model of the effective material, where the inhomogeneous rubber-cord layer is replaced by an equivalent homogeneous anisotropic hyperelastic material. To describe the averaged properties of rubber-cord, the elastic potential of a transversely isotropic or orthotropic material can be used. However, in the case of a thin inhomogeneous layer, the traditional definition of averaging needs a modification. In this work, it is proposed to use the 3D averaged elastic properties of the layer surrounded by a homogeneous material. To determine constants of the elastic potential, nonlinear local problems on the periodicity cell has to be solved. In the case of a transversely isotropic potential, a set of local problems sufficient to determine the constants is proposed. It is shown that the procedure for determining the constants is stable relative to perturbations of the parameters of periodicity cell. To differentiate the potential, the symbolic calculations from the Octave package were used. The numerical calculations performed showed that the structure of the potential proposed and the scheme for determining material parameters are suitable.

乘用车轮胎中的橡胶帘线层通常是在假设它们的变形很小的情况下计算的。然而，橡胶帘线层可能会发生高达 15% 的变形。在计算中，橡胶芯通常被有效材料代替。在这项工作中，一种现象学方法用于构建有效材料的模型，其中不均匀的橡胶帘线层被等效的均匀各向异性超弹性材料代替。为了描述橡胶帘线的平均特性，可以使用横向各向同性或正交各向异性材料的弹性势。然而，在薄的不均匀层的情况下，平均的传统定义需要修改。在这项工作中，建议使用由均质材料包围的层的 3D 平均弹性特性。为了确定弹性势的常数，必须解决周期性单元上的非线性局部问题。在横向各向同性势的情况下，提出了一组足以确定常数的局部问题。结果表明，相对于周期性单元参数的扰动，确定常数的过程是稳定的。为了区分电位，使用了 Octave 包中的符号计算。进行的数值计算表明，所提出的电位结构和确定材料参数的方案是合适的。结果表明，相对于周期性单元参数的扰动，确定常数的过程是稳定的。为了区分电位，使用了 Octave 包中的符号计算。进行的数值计算表明，所提出的电位结构和确定材料参数的方案是合适的。结果表明，相对于周期性单元参数的扰动，确定常数的过程是稳定的。为了区分电位，使用了 Octave 包中的符号计算。进行的数值计算表明，所提出的电位结构和确定材料参数的方案是合适的。