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Jones-Nelson模型是复合材料物理非线性应力应交关系的一种描述方法,它通过建立材料刚度与应变能密度的关系以考虑纤维增强复合材料的物理非线性问题.非线性的材料矩阵只为应变能的函数,使得材料模型可以方便地应用在复杂应力状态下.通过引入大变形的应变应力度量和变泊松比概念;对Jones-Nelson模型进行了改进;解决了材料特性的扩展问题和收敛问题;同时考虑了大变形中纤维铺设角度的重新取向,使其能够进行超大变形情况下橡胶复合材料单层板的物理非线性描述.材料模型的预报结果与试验结果吻合较好.
The Jones-Nelson model is a description of the physical nonlinear stress response of composite materials by considering the relationship between material stiffness and strain energy density to consider the physical nonlinearity of fiber-reinforced composites. The nonlinear material matrix is only a function of the strain energy, making the material model easily applicable to complex stress conditions. By introducing the concept of strain stress measurement and Poisson’s ratio of large deformation, the Jones-Nelson model is improved, the problem of material property expansion and convergence is solved, and the reorientation of fiber lay angle in large deformation is considered, The physical non-linear description of the rubber composite monolayer can be performed with large deformations. The forecast results of the material model are in good agreement with the experimental results.