A novel localization approach that seamlessly bridges the macro- and micro-scale models is proposed and used to model the forming-induced residual stresses within a representative volume element of a fiber reinforced composite. The approach uses a prescribed boundary that is theoretically deduced by integrating the asymptotic expansion of a composite and the equal strain transfer, thus rendering the simulation setting to be easier than conventional approaches. When the localization approach is used for the finite element analysis, the temperature and residual stresses within an ideal cubic representative volume element are precisely simulated, given a sandwiched thermoplastic composite is formed under one-side cooling condition. The simulation results, after being validated, show that the temperature gradient has an impact on the local residual stresses, especially on the in-plane normal stress transverse to the fiber, and consequently, influences the structural deformation. This newly designed localization approach demonstrates the advantages of enhanced precision and reduced computational cost owing to the fast modeling of the finely meshed representative volume element. This is beneficial for a detailed understanding of the actual residual stresses at the micro-scale.

提出了一种新颖的定位方法，该方法无缝地桥接了宏观模型和微观模型，并用于对纤维增强复合材料的代表性体积元内的成型诱导残余应力进行建模。该方法使用规定的边界，该边界在理论上是通过将复合材料的渐近展开与相等的应变传递进行积分得出的，因此使模拟设置比常规方法更容易。当使用局部化方法进行有限元分析时，如果在一侧冷却条件下形成了夹心的热塑性复合材料，则可以精确模拟理想的立方代表体积单元内的温度和残余应力。仿真结果经过验证后，结果表明，温度梯度会影响局部残余应力，特别是横向于纤维的面内法向应力，从而影响结构变形。这种新设计的定位方法由于对精细划分的代表体积元素进行了快速建模而展示了提高精度和降低计算成本的优势。这有助于在微观尺度上详细了解实际残余应力。