Abstract
This is an opportune time in the development of the subject of plasticity, to which Professor Rabotnov has made so many pioneering contributions, for a review of the past, an assessment of the current state of affairs, and a projection into the future. Extensive application now is made routinely of the well-established techniques and concepts of basic plasticity theory to a host of practical problems of analysis and design in aerospace, civil, and mechanical engineering. Engineering practice will continue to absorb the advances made through research as those advances are clarified and sufficiently simplified for use by those who are not experts in the field.
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References
RABOTNOV, Y.N., The theory of creep and its applications, Plasticity, eds. E.H. Lee and P.S. Symonds, Pergamon Press, 1960, pp. 338–346.
TRESCA, H., Mémoire sur le poinçonnage des métaux et des matières plastiques, Comptes Rendus, Paris, Vol. 70, 1870, pp. 27–31.
COULOMB, CA., Essai sur une application des règles de maximis et minimis à quelque problèmes de statique, relatifs à l’architecture, Mémoires de Mathématique de l’Académie Royale des Sciences, Paris, Vol. 7, 1773, pp. 343–382.
LÉVY, M., Mémoire sur les équations générales des mouvements intérieurs des corps solides ductiles au delà des limites où l’élasticité pourrait les ramener à leur premier état, Comptes Rendus, Paris, Vol. 70, 1870, pp. 1323–1325
SOKOLOVSKY, V.V., Statics of Soil Media, Butterworth, 1960; Theory of Plasticity, Moscow, 1946.
REUSS, A., Berücksichtigung der elastischen Formänderung in der Plastizitätstheorie, ZAMM, Vol. 10, 1930, pp. 766–214.
MISES, R. VON, Mechanik der plastischen Formänderung von Kristallen, ZAMM, Vol. 8, 1928, pp. 161–185.
ODQVIST, F.K.G., Die Verfestigung von flusseisenähnlichen Körpern. Ein Beitrag zur Plastizitätstheorie, ZAMM, Vol. 13, 1933, pp. 360–363.
MELAN, E., Zur Plastizität des räumlichen Kontinuums, Ingenieur-Archiv, Vol. 9, 1938, pp. 116–126.
DRUCKER, D.C., The continuum theory of plasticity on the macroscale and microscale, Journal of Materials ASTM, Vol. 1, 1966, pp. 873–910.
PALMER, A.C., MEIER, G., and DRUCKER, D.C., Normality relations and convexity of yield surfaces for unstable materials or structural elements, Journal of Applied Mechanics ASME, Vol. 34, 1967, pp. 464–470.
DRUCKER, D.C., Coulomb friction, plasticity, and limit loads, Journal of Applied Mechanics ASME, Vol. 21, 1954, pp. 71–74.
BUTLER, T. and DRUCKER, D.C., Yield strength and microstructural scale: a continuum study of pearlitic vs. spheroidized steel, Journal of Applied Mechanics ASME, Vol. 40, 1973, pp. 780–784.
OSGOOD, W.R., Combined-stress tests on 24S-T aluminum alloy tubes, Journal of Applied Mechanics ASME, Vol. 14, 1947, pp. A147–A153.
DRUCKER, D.C., Relation of experiments to mathematical theories of plasticity, Journal of Applied Mechanics ASME, Vol. 16, 1949, pp. A349–A357.
PRAGER, W., The stress-strain laws of the mathematical theory of plasticity. A survey of recent progress, Journal of Applied Mechanics ASME, Vol. 15,1948, pp. 226–233.
NAGTEGAAL, J.C. and DE JONG, J.E., Some aspects of non-isotropic workhardening in finite strain plasticity, Plasticity of Metals at Finite Strain: Theory, Computation and Experiment eds. Lee, E.H., and Mallett, R.L., Stanford University and Rensselaer Polytechnic Institute, 1982, pp. 65–101.
LEE, E.H., MALLETT, R.L. and WERTHEIMER, T.B., Stress analysis for anisostropic hardening in finite-deformation plasticity, Journal of Applied Mechanics ASME, Vol. 50, 1983, pp. 554–560.
ONAT, E.T. and DRUCKER, D.C., Inelastic instability and incremental theories of plasticity, Journal of the Aeronautical Sciences, Vol. 20, 1953, pp. 181–186.
DRUCKER, D.C., Appropriate simple idealizations for finite plasticity, Plasticity Today: Modelling Methods, and Applications, eds. Sawczuk, A. and Bianchi, G., Elsevier, 1985, pp. 47–59.
PRAGER, W., The theory of plasticity - a survey of recent achievements, Proc. Inst. Mechanical Engineers, Vol 169, 1955, pp. 41–57.
SHIELD, R.T. and ZIEGLER, H., On Prager’s hardening rule, ZAMP, Vol. 9a, 1958, pp. 260–276.
ZIEGLER, H., An Introduction to Thermomechanics, 2nd Ed. North Holland, 1983.
PALGEN, L. and DRUCKER, D.C., On stress-strain relations suitable for cyclic and other loading, Journal of Applied Mechanics ASME, Vol. 48, 1981, pp. 479–485.
RABOTNOV, Y.N., Creep Problems in Structural Members, North Holland Press, 1969.
KACHANOV, L.M., Time of the rupture process under creep conditions, Izv. Akad. Nauk. USSR, Otd. Tekh, Nauk, Vol. 8, 1958, pp. 26–31.
DRUCKER, D.C., Some classes of inelastic materials-related problems basic to future technologies, Nuclear Engineering and Design, Vol. 57, 1980, pp. 309–322.
DRUCKER, D.C., Material response and continuum relations: or from microscales to macroscales, Journal of Engineering Materials and Technology, Trans. ASME, Vol. 106, 1984, pp. 286–289.
ASARO, R.J., Micromechanics of crystals and polycrystals, Advances in Applied Mechanics, Vol. 23, Academic Press, 1983, pp. 1–115.
DRUCKER,D.C., From limited experimental information to appropriately idealized stress-strain relations, Mechanics of Engineering Materials, eds. Desai, C.S. and Gallagher, R.H., John Wiley & Sons Ltd., 1984, pp. 231–251.
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Drucker, D.C. (1990). Past and possible future directions in plasticity. In: Sih, G.C., Ishlinsky, A.J., Mileiko, S.T. (eds) Plasticity and failure behavior of solids. Fatigue and Fracture, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1866-5_1
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DOI: https://doi.org/10.1007/978-94-009-1866-5_1
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