Abstract
For an elastic-plastic material obeying the clasical kinematic hardening rule of Melan, a deformation process reproducing the combined tension-torsion test of a thin tube is considered and the accompanying stress field analytically determined. This allows us to study the effect of the kinematic hardening modulus on the delay with which the stress follows the deformation path.
Sommario
In questo studio viene determinata l'espressione dello sforzo in un materiale elasto-plastico che segue la classica regola di incrudimento cinematico di Melan ed è soggetto a un processo di deformazione analogo a quello che ha luogo in un tubo sottile nel caso di una prova di tensione-torsione combinate. Cio' consente di studiare l'effetto del modulo di incrudimento cinematico sul ritardo con cui lo sforzo segue la traiettoria della deformazione.
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References
Kratochvil, J., Ohashi, Y., Satra, M. and Tokuda, M., ‘Behaviour of polcrystalline metals under complex loading conditions: testing, modelling and computation, in: Brulin, O. and Hsieh, R. K. T. (Eds.), Continuum Models of Discrete Systems, Vol. 4, North-Holland Publishing Company, 1981 pp. 383–391.
OhashiY., KuritaY. and SuzukiT., ‘Effect of curvature of the strain trajectory on the plastic behaviour of brass’, J. Mech. Phys. Solids, 29, (1981) 69–86.
OhashiY., and TokudaM., ‘Precise measurement of plastic behaviour of mild steel tubular specimens subjected to combined torsion and axial force’, J. Mech. Phys. Solids, 21 (1973) 241–261.
OhashiY., TokudaM. and YamashitaH., ‘Effect of third invariant of stress deviator on plastic deformation of mild steel’, J. Mech. Phys. Solids, 23, (1975) 295–323.
MelanE., ‘Zur Plastizität des raumlichen Kontinuums’, Ing. Arch., 9 (1938) 116–126.
GuidottiP., LucchesiM., PagniA. and PasquinelliG., ‘Elasticplastic behaviour with work-hardening: an appropriate model for structural software’, Meccanica, 19 (1984) 43–51
Lucchesi, M., Owen, D. R. and Podio Guidugli, P., ‘Materials with elastic range: a theory with a view toward applications. Part III. Approximate constitutive relations, to appear in Arch. Rational Mech. Anal. (1990).
LucchesiM. and Podio GuidugliP., ‘Equivalent dissipation postulates in classical plasticity’, Meccanica, 25 (1990) 26–31.
Hill, R., The Mathematical Theory of Plasticity, Oxford University Press, 1950.
LucchesiM., ‘Esistenza e unicita' dello sforzo per materiali idealmente plastici soggetti a deformazioni finite’, Boll. U.M.I., 4-B (1990) 1–16.
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Bennati, S., Lucchesi, M. Explicit solutions for complex tension-torsion tests in plasticity. Meccanica 26, 85–91 (1991). https://doi.org/10.1007/BF00429873
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DOI: https://doi.org/10.1007/BF00429873