Abstract
From a phenomenological standpoint the difference between the two properties of solids which enable permanent deformation, namely plasticity and viscosity, consists mainly in the following: Whereas plastic materials show only a weak temperature dependence one observes strong temperature effects in viscous deformation. To this thermal behaviour of the two kinds of materials corresponds an inherent time behaviour: plastic deformation is time-independent in the sense of inherent times whereas viscous behaviour is strongly time-dependent.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A. Seeger, Encycl. of Physics VII/1 and VII/2, Springer — Verlag Berlin — Göttingen — Heidelberg 1955/58
J. Friedel, Dislocations, Pergamon Press, Oxford etc. 1964
A.H. Cottrell, THeory of Crystal Dislocations, Blackie and Son Ltd., London — Glasgow 1964
J.P. Hirth and P. Lothe, Theory of Dislocations, McGraw Hill, New York 1968
J.J. Gilman, Micromechanics of flow in solids, McGraw Hill, New York 1969
P. Haasen, Dislocations, Physical Chemistry 10, 69 (1970)
D.C. Drucker, Structural Mechanics, Pergamon Press, Oxford etc. 1960
E. Kröner, Acta Met. 9, 155 (1961)
B. Budiansky and T.T. Wu, Proc. 4th Congr. Appl. Mech. 1962, p. 1175
J. Zarka, Extrait du Mémorial de l’Artillerie Française, Sciences et Techniques de l’armement 2, 223 (1969)
J.W. Hutchinson, Proc. Roy. Soc. (London) A. 319, 247 (1970)
E. Krier and C. Teodosiu, Proc. Symp. Found. of Plasticity, Warsaw 1972, Nordhoff, Leyden 1973, in press
E. Kröner, Initial Studies of a Plasticity Theory Based upon Statistical Mechanics in Inelastic Behaviour of Solids, M.F. Kanninen, W.F. Adler, A.R. Rosenfield, R.I. Jaffee Eds., McGraw Hill Comp., New York 1970.
E. Krier, Proc. 3rd Disc. Conf. on General Principles of Rheology, Prague 1972 Rheol. Acta 1973, in press.
R. Labusch, Phys. Stat. Sol. 41, 659 (1970).
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1971 Springer-Verlag Wien
About this chapter
Cite this chapter
Kröner, E. (1971). The Statistical Problem of Plasticity. In: Statistical Continuum Mechanics. International Centre for Mechanical Sciences, vol 92. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2862-6_6
Download citation
DOI: https://doi.org/10.1007/978-3-7091-2862-6_6
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-81129-0
Online ISBN: 978-3-7091-2862-6
eBook Packages: Springer Book Archive