Abstract
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P.R. China Based on the kinematic theorem of limit analysis, a finite element mathematical programming formulation of 3-D rigid-perfectly plastic bodies is presented. The penalty function method is used to deal with the plastic incompressibility. A direct iterative algorithm is employed in solving the above formulation. The numerical procedure has been applied to carry out the limit analysis of pipelines with or without defects on the outside surface under multi-loading system. The effects of ellipsoidal and rectangular part-through slots on the collapse loads of pipelines under multi-loading system are investigated in detail. All the numerical ex-amples are given to illustrate its application.
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References
R. Seshadri and D. L. Marriott,Int. J. Pressure Vessel & Piping 56, 387 (1993).
R. Seshadri and C. P. D. Fernando,J. Pressure Vesssel Technology 114, 201 (1992).
D. Mackenzie, C. Nadarajah, J. Shi and J. T. Boyle,J. Pressure Vesssel Technology 115, 27 (1993).
L. Qian and Z. Wang,Proc. ASME Pressure Vessel and Piping Conf., p. 47, Nashnille, TN (1990).
T. Belytschko,Int. J. Mech. Sci. 14, 619 (1972).
L. Corradi and A. Zavelani,Computer Methods in Appl. Mech. Eng. 3, 37 (1974).
Y. H. Liu, Z. Z. Cen and B. Y. Xu,Int. J. Solids Structures 32, 1645 (1995).
H. F. Chen, Z. Z. Cen and B. Y. Xu,et al, Int. J. Pressure Vessel & Piping 71, 47 (1997).
Y. G. Zhang, P. Zhangand W. M. Xue,Computational Mechanics 14, 229 (1994).
M. A. Save and C. E. Massonnet,Plastic Analysis and Design of Plates, Shells and Disks,North Holland Publish Co. (1972).
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Cen, Z.Z., Chen, H.F., Liu, Y.H. et al. Collapse load computation of defective pipelines under multi-loading system. Metals and Materials 4, 306–310 (1998). https://doi.org/10.1007/BF03187782
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DOI: https://doi.org/10.1007/BF03187782