Plastic collapse analysis of defective pipelines under multi-loading systems |
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Authors: | Y H Liu Z Z Cen H F Chen B Y Xu |
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Affiliation: | Department of Engineering Mechanics, Tsinghua University, Beijing 100084, People's Republic of China |
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Abstract: | In this paper, a finite element mathematical programming formulation is presented for the kinematic limit analysis of 3-D rigid–perfectly plastic bodies. A numerical path scheme for radial loading is adopted to deal with complex multi-loading systems. A direct iterative algorithm is employed in solving the above optimization formulation. The numerical procedure has been applied to carry out the plastic collapse analysis of defective pipelines under multi-loading systems. The engineering situation considered has a practical importance in the pipeline industry. The effects of four kinds of typical part-through slots on the collapse loads of pipelines are investigated and evaluated. Some typical failure modes corresponding to different configurations of slots and loading forms are studied. |
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Keywords: | Collapse analysis Loading path Mathematical programming Pipeline Defect |
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