周方向き裂を有する配管系の安定条件の理論的検討と安定限界評価法

概要

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The onset of an unstable ductile fracture in a piping system is dependent on the compliance and supporting conditions of the system as well as on material properties, while the influence of such geometrical conditions on the unstable fracture initiation must be elucidated in order to evaluate the stability of a piping system which has a complicated three-dimensional geometry. In this paper, a theoretical aspect of the stability of such a piping system is treated, and a general expression of stability is derived applying the principle of the minimum potential energy. It is shown in the paper that the stability of a piping system can be reduced to that of a piping with a certain compliance and subject to the uniform bending moment. Thus, application of the J-T stability analysis concept to a three-dimensional piping system is enabled. Using the above general expression of stability, two stability equations were also derived for the cases of the piping bent from fixed ends and that under 3-point bending with a compliance at the loading point respectively. Furthermore the critical span length of uniformly bent pipe is also calculated for stainless steel and carbon steel pipes using the evaluation procedure described in the paper and the empirical relationships which were presented in previous papers by the author.
一般社団法人日本機械学会の論文
1991-10-25