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Hybrid finite element method for estimation of actual residual stresses

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Residual Stress in Rails

Part of the book series: Engineering Applications of Fracture Mechanics ((EAFM,volume 12-13))

Abstract

The subject of this chapter is the application of the hybrid finite element method (FEM) to the evaluation of the actual shakedown residual stresses in a prismatic elastic-plastic body subjected to cyclic loadings. A preliminary model was presented in [[7.1]]. The formulation was further developed and was verified by comparison of numerical results from one-dimensional models with results from independent solutions [[7.2]], [[7.3]]. The revised formulation has now been extensively tested in a two-dimensional model of a prismatic body, and the new results have again been compared with the independent solutions. The two-dimensional model is essentially in the form required for analysis of a rail as a prismatic body, and some example calculations of rail residual stresses have also been performed.

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References

  1. J. Orkisz and A. Harris, “Analysis of residual stresses at shakedown: a hybrid approach”, Theoretical and Applied Fracture Mechanics 9, 109–121 (1988).

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  2. M. HoĊ‚owiĊ„ski and J. Orkisz, “Evaluation of residual stresses by the FEM in thick-walled tube subjected to cyclic circulatory symmetric loads”, Proc. International Conference on Microcomputer Application in Strength Analysis and Structure Design, Wroclaw, Poland, 1988 (in Polish).

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  3. J. Orkisz, O. Orringer, M. HoĊ‚owiĊ„ski, M. Pazdanowski, and W. Cecot, “Discrete analysis of actual residual stresses resulting from cyclic loadings”, Computers & Structures 35(4), 397–412 (1990).

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  4. P. Tong and J.N. Rossettos, The Finite Element Method: Basic Technique and Implementation, MIT Press, Cambridge, MA, 1977.

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  5. J.J. Groom, “Determination of residual stresses in rails”, Battelle Columbus Laboratories, Columbus, OH, report no. DOT/FRA/ORD-83/05, 1983.

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  6. K. Washizu, Variational Methods in Elasticity and Plasticity, Pergamon Press, Oxford, 3rd edition, 1982.

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  7. O. Orringer and P. Tong, “Uses and abuses of the finite element method”, Proc. SPIE — International Society for Optical Engineering 450, 2–33 (1983).

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Âİ 1992 Springer Science+Business Media Dordrecht

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HoĊ‚owinski, M., Orkisz, J. (1992). Hybrid finite element method for estimation of actual residual stresses. In: Orringer, O., Orkisz, J., Ċšwiderski, Z. (eds) Residual Stress in Rails. Engineering Applications of Fracture Mechanics, vol 12-13. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1787-6_7

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