Abstract
In applied solid mechanics the calculation of stresses and strains is a fundamental step in assessing the behavior of mechanical components when subjected to loadings either by external and internal forces or thermal effects. However those quantities have no interest in themselves unless comparison is made with physical properties of the materials.
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References
Benallal, A., Billardon, R., Geymonat, G., 1991. Localization phenomena at the boundaries and interfaces of solids, Const Laws for Eng. Mat., C.S. Desai and E. Krempl, ed., ASME.
Billardon, R., Doghri, I., 1989. Localization bifurcation analysis for damage softening elasto-plastic materials, Cracking and damage, J. Mazars and Z. Bazant, ed., Elsevier, p. 295–307.
Champion, A.R., Krueger, W.H., Hartman, H.S. and Dhingra, A.K., Fiber F.P. Reinforced Metal Matrix Composites, Proc. 2nd International Conference on Composite Materials, AIME, Toronto.
Halphen, B., Nguyen, Q. Son, 1975. Sur les materiaux standards généralisés, Journal de mecanique, Vol. 14, No. 1, pp. 39–64.
Kachanov, L.M., 1958. On the time to failure under creep conditions, IZV Mad Nauk SSR Otd Tekhn, No. 8.
Koiter, W.T., 1960, Progress in Solid Mechanics, Vol., North Holland, Amsterdam.
Leckie, F.A., Hayhurst, D.R., 1974. Creep rupture of structures, Proc. Roy. Soc. Lond., A340, pp. 323–347.
Lemaitre, J., 1991. A course on damage mechanics, Springer Verlag.
Lemaitre, J., 1971. Evaluation of dissipation and damage in metals, submitted to Dynamic Loading Proc, ICM 1, Kyoto.
Lemaitre, J. and Doghri, I., 1990. Damage 90: A Post Processor for Crack Initiation, UCSB Santa Barbara Mechanical Engineering Report.
Liebowitz, H., 1968–1972. Fracture, Vol. 1 to 7, Academic Press.
Lippmann, H., 1978. Metal forming plasticity, IUTAM Symposium Proceedings, Springer Verlag, 1979.
Marquis, D., Lemaitre, J., 1989. Modeling complex behaviors of metals, by the State Kinetic Coupling Theory, ASME. PVP, Vol. 184, No. H00576.
Martin, J.R., 1975, Plasticity, M. I. T. Press, Boston.
Parniere, P., Sanz, G., 1976. Appreciation des caracteristiques d’emboutissabilité des toles minces - Mise en forme des metaux et alliages, Editions CNRS, Paris.
Ponter, A.R., 1981, Shakedown and racheting below the creep range, University of Leicester, England, 81–93.
Ponter, A.R., 1972, An upper bound on the small displacement of elastic/perfectly plastic structures, Trans. ASME, J. Appl. Mech., 39.
Rice, J., 1976. ‘The localization of plastic deformations,“ Theoretical and Applied Mechanics, W.T. Koiter ed., North Holland, p. 207–220.
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© 1991 Springer-Verlag Berlin, Heidelberg
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Leckie, F.A., Lemaitre, J. (1991). Plasticity-Related Critical States and Failure Criteria. In: Brüller, O.S., Mannl, V., Najar, J. (eds) Advances in Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48890-0_17
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DOI: https://doi.org/10.1007/978-3-642-48890-0_17
Publisher Name: Springer, Berlin, Heidelberg
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