Abstract Return mapping algorithms are popular procedures for evaluating elasto-plastic material behaviour. This paper presents a dedicated return mapping algorithm for thin walled pipes and vessels with Von Mises plasticity and isotropic hardening, for which it can be assumed that the hoop stress is constant. This applies for example to pipe line sections during offshore laying operations. In the algorithm a nonlinear scalar equation is solved iteratively. A general 3D radial return mapping algorithm with an iteration loop to fullfill the assumptions on hoop and radial stress is used to verify results obtained with the dedicated algorithm. Results of both algorithms are identical, while the new algorithm is more efficient.

中文翻译：

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薄壁管弹塑性变形的返回映射算法

摘要 返回映射算法是评估弹塑性材料行为的流行程序。本文提出了一种用于具有 Von Mises 塑性和各向同性硬化的薄壁管道和容器的专用返回映射算法，为此可以假设环向应力是恒定的。例如，这适用于海上铺设作业期间的管线部分。在该算法中，迭代求解非线性标量方程。使用带有迭代循环的通用 3D 径向返回映射算法来满足对环向和径向应力的假设，用于验证使用专用算法获得的结果。两种算法的结果是相同的，而新算法的效率更高。