考虑拉剪耦合的二维编织物各向异性超弹性本构模型

An anisotropic hyperelastic constitutive model considering shear-tension coupling for 2-dimensional woven fabrics

基于连续介质力学理论,提出了一种考虑二维编织物拉剪耦合作用的各向异性超弹性本构模型。该模型中应变能被分解为纤维拉伸应变能和拉剪耦合作用下的剪切应变能两部分。给出了模型参数的确定方法,通过拟合实验数据,得到了本构模型参数。利用确定的本构模型对文献中不同预拉状态下的镜框剪切实验进行了预测,通过与实验结果对照,验证了所提出的本构模型正确性。该模型不仅具有明确的物理意义且参数确定简单,为更加全面精确的二维编织物成型有限元分析奠定了理论基础。

Based on continuum mechanics for fiber reinforced composites, an anisotropic hyperelastic constitutive model considering shear-tension coupling was developed to characterize the nonlinear and large deformation behavior of textile fabrics. The unit volume strain energy was decomposed into two parts which represent the fiber stretches and fiber-fiber interaction considering shear-tension coupling, respectively. Experimental data were used to identify material parameters of the proposed model. The developed model was validated by comparing numerical results with experiment data of picture frame tests under tension. The proposed model establishes a foundation for more accurate finite element forming simulation of two-dimensional woven fabrics.