Hyperelastic fiber-reinforced materials are conventionally modeled based on the contributions of their constituent materials. A unified invariant-base constitutive model, named Matrix-Fiber-Interaction (MFI) model, is proposed to take into account particularly the mechanical interaction contribution of the constituent materials in fiber-reinforced elastomers with two fiber families. Its high predictive capability for the modeling of the behavior of composites with different material anisotropy is verified by several experiments. This model along with its structurally based framework of material characterization allows measuring distinct contributions of the matrix, fiber, and mechanical interactions in the sense that the latter can be determined regardless of the functional form of the fiber potential. Therefore, in this paper, the MFI model implemented in a user-defined subroutine is used to highlight the importance of mechanical interaction potential. Using three representative examples: uniaxial extension of single-layer plates with different material anisotropy, inflation-extension of a thin cylindrical tube, and load-coupling behaviors in composite laminates, its effect is analyzed. The comparisons of experiments with simulation results underline the prediction quality improvement using the interaction potential in the modeling of single-layer composites. For the two latter deformations, the simulation results comparatively indicate the effect of mechanical interaction potential for the modeling of more complicated structures.

传统上，基于超弹性纤维增强材料的组成材料的贡献对其进行建模。提出了一个统一的不变基本构模型，称为Matrix-Fiber-Interaction（MFI）模型，以特别考虑组成材料在具有两个纤维族的纤维增强弹性体中的机械相互作用。一些实验证明了其对具有不同材料各向异性的复合材料行为建模的高预测能力。该模型及其基于结构的材料表征框架允许测量基质，纤维和机械相互作用的不同贡献，因为无论纤维势能的功能形式如何，均可确定后者。因此，在本文中，在用户定义的子例程中实现的MFI模型用于强调机械交互潜力的重要性。使用三个代表性示例：具有不同材料各向异性的单层板的单轴延伸，细圆柱管的膨胀-延伸以及复合层板中的载荷耦合行为，分析了其效果。实验与仿真结果的比较强调了在单层复合材料建模中使用交互作用潜力的预测质量改进。对于后两个变形，仿真结果比较表明机械相互作用潜力对更复杂的结构建模的影响。使用三个代表性的例子：具有不同材料各向异性的单层板的单轴延伸，细圆柱管的膨胀-延伸以及复合材料层压板中的载荷耦合行为，分析了其效果。实验与仿真结果的比较强调了在单层复合材料建模中使用交互作用潜力的预测质量改进。对于后两个变形，仿真结果比较表明机械相互作用潜力对更复杂的结构建模的影响。使用三个代表性示例：具有不同材料各向异性的单层板的单轴延伸，细圆柱管的膨胀-延伸以及复合层板中的载荷耦合行为，分析了其效果。实验与仿真结果的比较强调了在单层复合材料建模中使用交互作用潜力的预测质量改进。对于后两个变形，仿真结果比较表明机械相互作用潜力对更复杂的结构建模的影响。实验与仿真结果的比较强调了在单层复合材料建模中使用交互作用潜力的预测质量改进。对于后两个变形，仿真结果比较表明机械相互作用潜力对更复杂的结构建模的影响。实验与仿真结果的比较强调了在单层复合材料建模中使用交互作用潜力的预测质量改进。对于后两个变形，仿真结果比较表明机械相互作用潜力对更复杂的结构建模的影响。