The viscoelastic energy dissipated by the bend stiffener when subjected to cyclic loading increases the polyurethane temperature and may affect the system curvature distribution in a coupled manner. The steady-state thermo-mechanical mathematical formulation and material experimental characterization has been presented in a companion paper (Part I). In this work (Part II), the rate of viscoelastic mechanical energy dissipation is obtained from the steady-state mechanical formulation employing the shooting method combined with the Runge–Kutta method for the two-point boundary value problem numerical solution. The temperature field distribution within the bend stiffener volume is then estimated with the three-dimensional steady-state thermal model employing the finite difference technique with a boundary-fitted coordinate system that transforms the physical domain into a structured computational domain grid. The partial differential equations governing heat transfer are solved in the computational domain and transformed back into the physical domain by transformation relations. A detailed description of the iterative thermo-mechanical numerical solution procedure is presented and a case study carried out demonstrating the loading frequency and oscillation amplitude influence on the bend stiffener temperature field distribution. It is shown that the bend stiffener may be exposed to high internal temperatures for some loading conditions.

当承受周期性载荷时，弯曲加劲肋耗散的粘弹性能会提高聚氨酯温度，并可能以耦合的方式影响系统曲率分布。随附论文（第一部分）介绍了稳态热机械数学公式和材料实验表征。在这项工作（第二部分）中，通过采用射击方法和龙格-库塔方法相结合的两点边值问题数值解，从稳态力学公式中获得了粘弹性机械能的耗散率。然后使用有限差分技术和边界拟合坐标系，使用有限差分技术通过三维稳态热模型估算弯曲加强筋体积内的温度场分布，该坐标系将物理域转换为结构化的计算域网格。控制传热的偏微分方程在计算域中求解，并通过变换关系转换回物理域。给出了迭代热力学数值求解程序的详细说明，并进行了案例研究，以说明加载频率和振荡幅度对弯曲加劲肋温度场分布的影响。结果表明，在某些负载条件下，弯曲加劲肋可能会暴露在较高的内部温度下。