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Plastic Limit Analysis of Defective Pipelines under Complex Loads

机译：复杂载荷下不良管道的塑性极限分析

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摘要

In this paper, a numerical procedure for plastic limit analysis of 3-D elastic-perfectly plastic bodies under complex loads is presented. The method is based on the lower-bound limit theorem and von Mises yield criterion so that the lower-bond limit analysis can be conducted by solving a nonlinear mathematical programming problem. A SQP algorithm and a dimension reduction-based technique are used to solve the discretized finite element optimization formulation. A conception of active constraint set is introduced so that the number of constraints can be reduced greatly. The basis vectors of reduced residual stress spaces are constructed by performing an equilibrium iteration procedure of elasto-plastic finite element analysis. The numerical procedure is applied to carry out the plastic limit analysis of pipeline with part-through slots under internal pressure, bending moment and axial force. The effects of different sizes of part-through slots on the limit loads of pipelines are investigated and evaluated.
机译：本文提出了一种复杂载荷下3-D弹性完全塑性体塑性极限分析的数值程序。该方法基于下限极限定理和von Mises屈服准则，因此可以通过解决非线性数学规划问题来进行下键极限分析。采用SQP算法和基于降维的技术求解离散化有限元优化公式。引入了主动约束集的概念，从而可以大大减少约束的数量。通过执行弹塑性有限元分析的平衡迭代过程，构造了减少残余应力空间的基向量。采用数值方法对带通槽的管道在内部压力，弯矩和轴向力作用下进行塑性极限分析。研究并评估了不同尺寸的直通槽尺寸对管道极限载荷的影响。

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