Anisotropic composite cylinders and pressure vessels have been widely employed in automotive, aerospace, chemical and other engineering areas due to high strength/stiffness-to-weight ratio, exceptional corrosion resistance, and superb thermal performance. Pipes, fuel tanks, chemical containers, rocket motor cases and aircraft and ship elements are a few examples of structural application of fiber reinforced composites (FRCs) for pressure vessels/pipes. Since the performance of composite materials replies on the tensile and compressive strengths of the fiber directions, the optimum design of composite laminates with varying fiber orientations is desired to minimize the damage of the structure. In this study, a complete mathematical 3D elasticity solution was developed, which can accurately compute stresses of a thick multilayered anisotropic fiber reinforced pressure vessel under force and pressure loadings. A rotational variable is introduced in the formalism to treat torsional loading in addition to force and pressure loadings. Then, the three-dimensional Tsai-Wu criterion is used based on the analytical solution to predict the failure. Finally, a global optimization algorithm is used to find the optimum fiber orientations and their best combination through the thickness direction.

各向异性复合材料气瓶和压力容器由于具有较高的强度/刚度/重量比，出色的耐腐蚀性和出色的热性能，已广泛应用于汽车，航空航天，化学和其他工程领域。管道，燃料箱，化学容器，火箭发动机箱以及飞机和轮船零件是压力容器/管道用纤维增强复合材料（FRC）在结构上的一些应用示例。由于复合材料的性能取决于纤维方向的抗拉和抗压强度，因此需要采用具有不同纤维取向的复合层压板的最佳设计，以最大程度地减少结构的损坏。在这项研究中，完整的开发了数学3D弹性解决方案，该解决方案可以精确计算在力和压力载荷下厚的多层各向异性纤维增强压力容器的应力。形式变量中引入了旋转变量，以处理除力和压力载荷外的扭转载荷。然后，基于解析解使用三维Tsai-Wu准则来预测故障。最后，使用全局优化算法来找到最佳的纤维方向及其在厚度方向上的最佳组合。