Plastic collapse analysis of defective pipelines under multi-loading systems

Liu, Y.H. and Cen, Z.Z. and Chen, Haofeng and Xu, B.Y. (2000) Plastic collapse analysis of defective pipelines under multi-loading systems. International Journal of Mechanical Sciences, 42 (8). pp. 1607-1622. ISSN 0020-7403 (https://doi.org/10.1016/S0020-7403(99)00093-4)

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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.