TECHNICAL PAPERS
Feb 14, 2003

Rate-Dependent Hyperplasticity with Internal Functions

Publication: Journal of Engineering Mechanics
Volume 129, Issue 3

Abstract

This paper extends previous work reported by Houlsby and Puzrin in 2001 in which a thermomechanical framework was set out for the derivation of rate-dependent plasticity theory with internal variables. A key feature of the earlier formalism is that the entire constitutive response is determined by the knowledge of two scalar potential functions. In this paper, we extend the concept of internal variables to that of internal functions, which represent infinite numbers of internal variables. In this case, the thermodynamic functions are replaced by functionals. This work also extends previous work on rate-independent materials reported by Puzrin and Houlsby in 2001a. The principal advantages of this development are that it can provide realistic modeling of kinematic hardening effects and smooth transitions between elastic and elastic-viscoplastic behavior. The ability of a model developed within this new framework to capture realistically various aspects of rate dependent undrained triaxial behavior of saturated clays has been verified against experimental data.

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References

Collins, I. F., and Houlsby, G. T.(1997). “Application of thermomechanical principles to the modelling of geotechnical materials.” Proc. R. Soc. London, Ser. A, 453, 1975–2001.
Houlsby, G. T., and Puzrin, A. M.(2000). “A thermomechanical framework for constitutive models for rate-independent dissipative materials.” Int. J. Plast., 16(9), 1017–1047.
Houlsby, G. T., and Puzrin, A. M.(2001). “Rate-dependent plasticity models derived from potential functions.” J. Rheol., 46(1), 113–126.
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Puzrin, A. M., and Houlsby, G. T.(2001a). “A thermomechanical framework for rate-independent dissipative materials with internal functions.” Int. J. Plast., 17, 1147–1165.
Puzrin, A. M., and Houlsby, G. T.(2001b). “Fundamentals of kinematic hardening hyperplasticity.” Int. J. Solids Struct., 38, 3771–3794.
Vaid, Y. P., and Campanella, R. G.(1977). “Time-dependent behavior of undisturbed clay.” J. Geotech. Eng. Div., Am. Soc. Civ. Eng., 103(7), 693–709.
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Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 129Issue 3March 2003
Pages: 252 - 263

History

Received: Nov 6, 2001
Accepted: Aug 23, 2002
Published online: Feb 14, 2003
Published in print: Mar 2003

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Authors

Affiliations

A. M. Puzrin, A.M.ASCE
Associate Professor, Georgia Institute of Technology, School of Civil and Environmental Engineering, 790 Atlantic Drive, Atlanta, GA 30332-0355; formerly at Israel Institute of Technology, Haifa.
G. T. Houlsby
Professor of Civil Engineering, Oxford Univ., Dept. of Engineering Science, Parks Road, Oxford OX1 3PJ, U.K.

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