Abstract
The subject of elasto-plastic bending of beams, columns, frames and other complex structures has generated a considerable volume of specialised literature, the review of which is outside the scope of this book. However, to gain an appreciation of the range of topics covered and the ways in which they are approached, we shall consider a selection of problems that form a sound basis for understanding the inherent difficulties.
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Further Reading
Al-Hassani, S. T. S., Johnson, W. and Vickers, G. W. ‘Dynamically loaded variable thickness cantilevers using a magnetomotive impulse’, Int. J. Mech. Sci., 15 (1973) 987
Baker, J. F., Horne, M. R. and Heyman, J. The Steel Skeletons, Cambridge University Press, Cambridge, 1956
Coffin, L. F. and Tavernelli, J. F. ‘Cycling straining and fatigue of metals’, Trans. Metal Soc. AIME, 215 (1959) 794
Hoffman, O. and Sachs, G. Introduction to the Theory of Plasticity for Engineers, McGraw-Hill, New York, 1953
Johnson, W. and Yu, T. X. ‘Springback after the biaxial elastic-plastic pure bending of a rectangular plate’, Int. J. Mech. Sci., 23 (1981) 619
Johnson, W. and Yu, T. X. ‘On springback after pure bending of beams and plates of elastic-work-hardening materials — III’, Int. J. Mech. Sci., 23 (1981) 687
Jones, N. ‘A theoretical study of the dynamic plastic behaviour of beams and plates with finite deflections’, Int. J. Solids Structures, 7 (1971) 1007
Neal, B. G. ‘Plastic collapse and shakedown theorems for structures of strainhardening materials’, J. Aero. Sci., 17 (1950) 297
Parkes, E. W. ‘The permanent deformation of a cantilever struck transversely at its tip’, Proc. Roy. Soc., A228 (1955) 462
Prager, W. and Hodge, P. C. The Theory of Perfectly Plastic Solids, Wiley, New York, 1951
Symonds, P. S. and Jones, N. ‘Impulsive loading of fully clamped beams with finite plastic deflections and strain-rate sensitivity’, Int. J. Mech. Sci., 14 (1972) 49
Timoshenko, S. History of Strength of Materials, McGraw-Hill, London, 1953
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© 1983 T. Z. Blazynski
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Blazynski, T.Z. (1983). Elasto-plastic Bending. In: Applied Elasto-plasticity of Solids. Palgrave, London. https://doi.org/10.1007/978-1-349-17263-4_5
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DOI: https://doi.org/10.1007/978-1-349-17263-4_5
Publisher Name: Palgrave, London
Print ISBN: 978-0-333-34545-0
Online ISBN: 978-1-349-17263-4
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