The paper discusses a rate-dependent constitutive model to describe the creep deformation of rock salts. The model is based on the dislocation-related micromechanisms; the concept of effective stress is utilized by incorporating the back stress as an internal variable. The model is used to predict the creep potential of rock salt under general thermo-mechanical loading. The experimental test results from Avery Island dome salt are used in this work. The associated five model parameters are evaluated by using an optimization technique, called “box algorithm.” The parameters are then used with the model to predict unoptimized experimental data sets. The influence of temperature and confining pressure are investigated in detail for the selected rock salt. Overall, excellent correlations are observed.

1.
Blass
J. J.
, and
Findley
W. N.
,
1971
, “
Short-Time Biaxial Creep of an Aluminum Alloy With Abrupt Change of Temperature and State of Stress
,”
ASME Journal of Applied Mechanics
, Vol.
38
, pp.
489
492
.
2.
DaNatale, J. S., 1983, “On the Calibration of Constitutive Models by Multivariate Optimization. A Case Study: The Bounding Surface Plasticity Model,” Ph.D. thesis, University of California, Davis, CA.
3.
Evans, R. W., and Wilshire, B., 1985, Creep of Metals and Alloys, The Institute of Metals, London, U.K.
4.
Faruque, M. O., and Zaman, M. M., 1990, “A Thermo-Mechanical Creep Constitutive Model for Metals with Application,” Proceedings of 13th Annual Energy-Sources Technology Conference and Exposition (ETCE), Composite Material Technology, New Orleans, LA, pp. 173–176.
5.
Faruque
M. O.
, and
Zaman
M. M.
,
1988
, “
On Modelling Steady State and Transient Creep of Polycrystalline Solids
,”
Acta Mechanica
, Vol.
71
, pp.
115
136
.
6.
Gangi, A. F., Parrish, D. K., and Handin, J., 1981, “Transient and Steady-State Deformation of Synthetic Rock Salt,” Proceedings of the First Conference of the Mechanical Behavior of Salt, ed., H. R. Hardy, The Pennsylvania State University, November 9–11, pp. 37–51.
7.
Garafalo, F., 1965, Fundamental of Creep and Creep-Rupture in Metals, Macmillan, New York, NY.
8.
Henderson
J.
,
1979
, “
An Investigation of Multiaxial Creep Characteristics of Metals
,”
ASME Journal of Engineering Materials and Technology
, Vol.
101
, pp.
356
364
.
9.
Hossain, M. I., 1992, “A Preliminary Creep Model for Avery Island Dome Salt for Nuclear Waste Repository Application,” M.S. thesis, University of Oklahoma, Norman, OK.
10.
Kraus, H., 1980, Creep Analysis, John Wiley and Sons, Inc., New York, NY.
11.
Krieg, R. D., Swearengen, J. C., and Rhode, R. W., 1978, “A Physically Based Internal Variable Model for Rate-Dependent Plasticity,” Inelastic Behavior of Pressure Vessel and Piping Components, eds., T. Y. Chang, and E. Krempl, pp. 15–28.
12.
Klok, J., and Prij, J., 1982, “Calculations on the Closing of Boreholes for Nuclear Waste Disposal in Salt Domes,” Contract Report WAS-226–81–7N, Sub-Contract 7–61 (3), Commission of the European Communities.
13.
Matalucci, R. V., Morgan, H. S., and Krieg, R. D., 1981, “The Role of Benchmarking in Assessing the Capability to Predict Room Response in Bedded Salt Repositories, in Near field Phenomena in Geologic Repositories for Radioactive Waste,” Proceedings of Workshop held in Seattle, WA, Aug./Sept., OECD/NEA, Paris, France.
14.
Mroz
Z.
,
1969
, “
An Attempt to Describe the behavior of Metals Under Cyclic Loads Using a More General Workhardening Model
,”
Acta Mechanica
, Vol.
7
, pp.
199
205
.
15.
Murakami
S.
, and
Ohno
N.
,
1982
, “
A Constitutive Equation of Creep Based on the Concept of a Creep-Hardening Surface
,”
International Journal of Solids and Structures
, Vol.
18
, pp.
597
609
.
16.
Odqvist, F. K. G., 1974, Mathematical Theory of Creep and Creep Rupture, Oxford University Press, Oxford, U.K.
17.
Rivlin
R. S.
, and
Ericksen
J.
,
1955
, “
Stress Deformation Relations for Isotropic Materials
,”
Journal of Rational Mechanical Analysis
, Vol.
4
, pp.
323
425
.
18.
Robotnov, Y. N., 1969, Creep Problems of Structural Members, North Holland, Amsterdam, The Netherlands.
19.
Robinson, D. N., 1978, “A Unified Creep-Plasticity Model for Structural Metals at High Temperature,” ORNL/TM-5969, Oak Ridge National Laboratory.
20.
Senseny, P. E., 1983, “Review of Constitutive Laws Used to Describe the Creep of Salt,” prepared by RE/SPEC Inc., Rapid City, SD, RSI-0151, for Office of Nuclear Waste Isolation, Battelle Memorial Institute, ONWI-295.
21.
Zaman, M., 1986, “Assessment of Constitutive Models for Salt Creep in a Waste Repository Environment,” Draft Report, Argonne National Laboratory Report, Argonne, IL.
22.
Zaman, M., Faruque, M. O., and Hossain, M. I., 1992, “Modeling Creep Behavior of Rock Salt,” Proceedings of the Energy Sources Technology Conference and Exposition (ETCE), Houston, TX, Jan. Composite Material Technology, ASME, PD-Vol. 45, pp. 51–56.
This content is only available via PDF.
You do not currently have access to this content.