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E - Drucker's stability postulate

Published online by Cambridge University Press:  23 November 2009

R. O. Davis
Affiliation:
University of Canterbury, Christchurch, New Zealand
A. P. S. Selvadurai
Affiliation:
McGill University, Montréal
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Publisher: Cambridge University Press
Print publication year: 2002

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References

Drucker, D. C., The definition of a stable inelastic material, J. Appl. Mech., Trans ASME, 26, 101–106 (1958)Google Scholar
D. C. Drucker, Plasticity, In Structural Mechanics (eds. J. N. Goodier and N. J. Hoff) Pergamon Press, Oxford, pp. 407–455, 1960
Drucker, D. C., On the postulate of stability of material in the mechanics of continua, J. Mecanique, 3, 235–249 (1964)Google Scholar
D. C. Drucker, Concepts of path independence and material stability in soils. In Rheology and Mechanics of Soils, Proc. IUTAM Symposium (eds. J. Kravtchenko and P. M. Sirieys) pp. 23–43, 1964
D. C. Drucker, An Introduction to the Mechanics of Deformable Solids, McGraw-Hill, New York, 1966
Drucker, D. C., Conventional and unconventional plastic response and representation, Appl. Mech. Rev., 41, 151–167 (1988)CrossRefGoogle Scholar
Drucker, D. C. and Li, M., Stable response in the plastic range with local instability, J. Appl. Math. Phys (ZAMP), 46, S375–S385 (1995)Google Scholar
Green, A. E. and Naghdi, P. M., A general theory for an elastic plastic continuum, Arch. Rational Mech. Anal., 18, 251–281 (1965)CrossRefGoogle Scholar
H. Ziegler, Some extremum principles in irreversible thermodynamics, with applications to continuum mechanics. In Progress in Solid Mechanics, Vol. 4 (eds. I. N. Sneddon and R. Hill) North-Holland, Amsterdam, pp. 91–193, 1963
W. -F. Chen, Limit Analysis and Soil Plasticity, Elsevier, Amsterdam, 1975
J. N. Goodier and P. G. Hodge Jr., Elasticity and Plasticity. Surveys in Applied Mathematics, Vol. 1, John Wiley, New York, 1958
L. E. Malvern, Introduction to the Mechanics of a Continuous Medium, Prentice-Hall, Englewood Cliffs, NJ, 1969
A. Sawczuk, Mechanics and Plasticity of Structures, Ellis Horwood, New York, 1989

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