Abstract
It has long been established that the type of failure exhibited in materials is a function, not only of the magnitude of the applied stress or the basic material characteristics, but also of the way in which they are applied. Thus for annealed EC grade aluminium we might expect an elongation of ~30% if tested in tension, of ~400% if cold rolled and several 1000% if extruded. It was Von Karman [1] who first demonstrated the effect of hydrostatic stresses on the mode of yielding when he demonstrated the ductility of marble under the application of high compressive hydrostatic stresses and this has since been confirmed by observing other more typical cases such as notched bars where the ductility appears to be reduced in the presence of high tensile hydrostatic stresses. In both rolling and extrusion the stresses are in each case predominantly compressive and in extrusion are compressive in all three directions.
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References
von Karman, Th. (1909) Göttinger Nachrichten, Math.-phys. Klasse, 204.
Sheppard, T. and Wright, D.S. (1979) Met. Tech, 6, 215.
Feltham, P. (1956) Metal Treatment, 23, 440.
Siebel, E. and Fangmeier, E. (1931) Mitt. Kais. Wilh. Eisenf, 13, 28.
Johnson, W. and Mellor, P.B. (1962) Plasticity for Mechanical Engineers, Van Nostrand, London.
Johnson, W. and Kudo, H. (1960) Int. J. Mech. Sci, 1, 57.
Adie, J.F. and Alexander, J.M. (1967) Int. J. Mech. Sci, 9, 349.
Hailing, J. and Mitchell L. (1965) Int. J. Mech. Sci, 7, 227.
Hailing, J. and Mitchell L. (1965) Int. J. Prod. Res, 4, 141.
Sheppard, T., McShane, H.B. and Tutcher, M.G. (1978) Powder Met, 21, 47.
Thomsen, E.G. (1957) Proc. Conf. Prop. Mat. at High Rates of Strain, I. Mech. E., London.
Shabaik, A.H., Kobayashi, S. and Thomson, E.G. (1967) J. Eng. Ind. Trans, ASME, Series B, 89, 343.
Iwata, K., Osakada, K. and Fujino, S. (1972) J. Eng. Ind. Trans, ASME, Series B, 94, 397.
Nagpal, V. and Altan, T. (1975) Proc. 3rd. NAMRC, 26.
Zienkiewicz, O.C. and Godbole, P.N. (1974) Int. J. Num. Meth. Eng, 8, 3.
Zienkiewicz, O.C., Jain, P.C. and Onate, E. (1978) Int. J. Solids Struct, 14, 15.
Kato, K., Okada, T., Murota, T. and Itoh, H. (1987) Advanced Technology of Plasticity, (ed. K. Lange) Springer-Verlag, Heidelberg, 523.
Sheppard, T. and Bianchi, J.H. (1987) J. Mech. Phys. Sol, 29, 61.
Childs, T.H. (1974) Met. Tech, 1, 305.
Dawson, P.R. and Thompson, E.G. (1977) in Numerical Modelling of Manufacturing Processes,ASME, PVP-PB-025, 167–182.
Norley, J. (1979) Ph.D. Thesis, University of London.
Sheppard, T. and Paterson, S.J. (1982) J. Mech. Work. Tech, 4, 39–56.
Akeret, R. (1980) Metal, 34, 737–741.
Sheppard, T. and Wood, E.P. (1980) Met. Tech, 7, 58–66.
Sheppard, T. and Wood, E.P. (1978) Proc. 17th Int. MTDR Conf., 411(1), Macmillan Co., London.
Akeret, R. (1967) J.I.M, 95, 204–211.
Lange, G. (1971) Z. Metallkd, 62, 571–579.
Lange, G. and Stuwe, H.P. (1971) Z. Metallkd, 62, 580–584.
Bishop, J.F.W. (1966) J. Mech. Appl. Math, 9, 236.
Akeret, R. (1968) Aluminium, 44, 412.
Stuwe, H.P. (1968) Metall, 22, 1197.
Lange, G. (1971) Z. Metallkd, 62, 571.
Macey, G.E. and Salim, M. (1988) Proc. 4th International Extrusion Technology Seminar, Chicago, USA, 247.
Grasmo, G., (1992) Proc. 5th International Extrusion Technology Seminar, Chicago, USA, 1, 367.
Dashwood, R.J. and McShane, H.B. (1996) Proc. 6th International Extrusion Technology Seminar, Chicago, USA, 1, 331.
Chenot, J.L. (1992) J. Mat. Proc. Tech, 24, 9.
Castle, A.F. and Sheppard, T. (1976) Met. Tech, 2, 465–475.
Carslaw, H.S. and Jaeger, J.C. (1959) Conduction of Heat in Solids, Clarendon, Oxford.
Crank, J. (1950) Mathematics of Diffusion, Oxford University Press, London.
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Sheppard, T. (1999). Continuum principles. In: Extrusion of Aluminium Alloys. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3001-2_2
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DOI: https://doi.org/10.1007/978-1-4757-3001-2_2
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