Constitutive Models for Healing of Materials with Application to Compaction of Crushed Rock Salt
Publication: Journal of Engineering Mechanics
Volume 121, Issue 10
Abstract
Certain materials exhibit a capability to heal with time. Healing implies that microcracks and microvoids reduce in size, with a corresponding increase in stiffness and strength, features that are exactly the opposite of those normally associated with continuum damage mechanics. A continuum healing mechanics model is proposed within a framework that automatically meets the restrictions of thermodynamics. Rate-independent and rate-dependent formulations are both given. Specific evolution equations are given for a scalar isotropic assumption and comparisons with a limited amount of experimental data on crushed rock salt are given. Good correlations are shown for changes in time of Young's modulus and inelastic strain. The preliminary results provide a good foundation for other examples of healing such as the curing of concrete, the sintering of ceramics and the compaction of cohesive sands and clays.
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References
1.
Berglund, J. (1993). “Mechanisms governing the direct removal of wastes from the WIPP repository caused by exploratory drilling.”SAND92-7295, Sandia Nat. Labs., Albuquerque, N.M.
2.
Brantley, S. L., Evans, B., Hickman, S. H., and Crerar, D. A. (1990). “Healing of microcracks in quartz: implications for fluid flow.”Geology, Vol. 18, 136–139.
3.
Case, J. B., Kelsall, P. C., and Withian, J. L. (1987). “Laboratory investigation of crushed salt consolidation.”Rock Mech., Proc., 28th U.S. Symp., A. A. Balkema, Boston, Mass., 189–196.
4.
Chen, Z., and Wang, M. L. (1993). “A micro- and macro-mechanical modeling of creep mechanisms for the WIPP rock salt.”Proc., 3rd Annu. WERC Technol. Development Conf., DOE/WERC, U.S. Dept. of Energy, Washington, D.C., 23–33.
5.
Cotterill, P., and Mould, P. R. (1976). Recrystallization and grain growth in metals. Surrey Univ. Press, London, England.
6.
de Borst, R., and van den Boogaard, A. H.(1994). “Finite-element modeling of deformation and cracking in early-age concrete.”J. Engrg. Mech., 120(12), 2519–2534.
7.
Farhat, Z., and Northwood, D. O. (1993). “A study of recovery, recrystallization, grain growth and phase transformations, during the annealing of cold-worked zircaloy-4.”Mat. Sci. Forum, Vol. 113/115, 649.
8.
Ghorab, H. Y., Hilal, M. S., and Kishar, E. A.(1989). “Effect of mixing and curing waters on the behavior of cement pastes and concrete. Part I: microstructures of cement pastes.”Cement and Concrete Res., 19(6), 868–878.
9.
Guy, A. G. (1976). Essentials of materials science. McGraw-Hill, New York, N.Y.
10.
Hansen, N. R., and Schreyer, H. L.(1994). “A thermodynamically consistent framework for theories of elastoplasticity coupled with damage.”Int. J. Solids Struct., 31(3), 359–389.
11.
Henshall, J. L., and Thuraisingham, S. T. (1993). “Compaction and sintering of toughened zirconia ceramics.”British Ceramic Proc., England, Vol. 50, 173.
12.
Hickman, S. H., and Evans, B. (1987). “Diffusional crack healing in calcite: the influence of crack geometry on healing rate.”Phys. Chem. Miner., Vol. 15, 91–102.
13.
Hill, R. (1950). Mathematical theory of plasticity. Oxford Univ. Press, London, England.
14.
Hill, R. (1967). “The essential structure of constitutive laws for metal composites and polycrystals.”J. Mech. Phys. Solid, Vol. 15, 79–95.
15.
Himmel, L. (1962). Recovery and recrystallization of metals. Interscience Publishers, New York, N.Y.
16.
Holcomb, D. J., and Hannum, D. W. (1982). “Consolidation of crushed salt backfill under conditions appropriate to the WIPP facility.”SAND82-0630, Sandia Nat. Labs., Albuquerque, N.M.
17.
Holcomb, D. J., and Shields, M. (1987). “Hydrostatic creep consolidation of crushed rock salt with added water.”SAND87-1990, Sandia Nat. Labs., Albuquerque, N.M.
18.
Holcomb, D. J., and Zeuch, D. H. (1988). “Consolidation of crushed rock salt. Part I: experimental results for dry salt analyzed using a hot-pressing model.”SAND88-1469, Sandia Nat. Labs., Albuquerque, N.M.
19.
Hunsche, U., and Albrecht, H. (1990). “Results of true triaxial strength tests on rock salt.”Engrg. Fracture Mech., Vol. 35, 867–877.
20.
Hurtado, A. M., and Alkan, Z.(1993). “Studies on the sintering behavior of SiC with polycarbosilane binding agents.”Ceramics Int., 19(5), 327.
21.
Hwang, C. L., Wang, M. L., and Miao, S. (1993). “Healing mechanisms of crushed rock salt revealed by ESEM.”J. Microscopy Res. and Techniques, Vol. 25, 456–464.
22.
Jang, S. M., and Lee, S. (1990). “Mechanical healing of potassium chloride single crystals.”J. Am. Ceramics Soc., Vol. 73, 659–664.
23.
Jean, J. H., and Gupta, T. K.(1992). “Isothermal and nonisothermal sintering kinetics of glass-filled ceramics.”J. Mat. Res., 7(12), 3342.
24.
Ju, J. W.(1989). “On energy-based coupled elastoplastic damage theories: constitutive modeling and computational aspects.”Int. J. Solid Struct., 25(7), 803–833.
25.
Kachanov, L. M. (1958). “On the creep rupture time.”Isu. AN SSSR. Otd. Tekhn. Nauk., Vol. 8, 26.
26.
Khan, M. S., and Ayers, M. E.(1993). “Curing requirements of silica fume and fly ash mortars.”Cement and Concrete Res., 23(6), 1480.
27.
Krajcinovic, D. (1989). “Damage mechanics.”Mech. of Mat., Vol. 8, 117–197.
28.
Lemaitre, J. (1985). “Coupled elasto-plasticity and damage constitutive equations.”Comp. Meth. Appl. Mech. and Engr., Vol. 51, 31–49.
29.
Makovec, D., Dolar, D., and Trontelj, M.(1993). “Sintering and microstructural development of metal oxide varistor ceramics.”Mat. Res. Bull., 28(8), 803.
30.
Malvern, L. E. (1951). “The propagation of longitudinal waves of plastic deformation in a bar of material exhibiting a strain-rate effect.”ASME J. Appl. Mech., Vol. 18, 203–208.
31.
Miao, S., and Wang, M. L. (1994a). “Mechanical properties of consolidated crushed rock salt.”Proc., 4th Annu. WERC Technol. Development Conf., WERC, Dept. of Energy, Las Cruces, N.M.
32.
Miao, S., and Wang, M. L. (1994b). “Elastic-viscoplastic behavior of crushed rock salt.”Proc., 4th Annu. WERC Technol. Devel. Conf., WERC, Dept. of Energy, Las Cruces, N.M.
33.
Munson, D. E., and DeVries, K. L. (1991). “Development of validation of a predictive technology for creep closure of underground rooms in salt.”Proc., 7th Int. Conf. on Rock Mech.
34.
O'Bryan. (1991). “Sintering and expansion of HTSC ceramics.”Thermochimica Acta, Vol. 174, 223–237.
35.
Perzyna, P. (1966). “Fundamental problems in viscoplasticity.”Adv. in Appl. Mech., Vol. 9, 243–277.
36.
Pfeifle, T. W. (1991). “Consolidation, permeability, and strength of crushed salt/bentonite mixtures with application to the WIPP.”SAND90-7009, Sandia Nat. Labs., Albuquerque, N.M.
37.
Ralph, B., and Kurzydiowski, K. J. (1994). “Studies of the changes in the geometry of grain boundaries and grains during recovery/continuous recrystallization in alpha-Fe.”J. Mat. Sci., Vol. 29(15), 3964–3968.
38.
Sandvik, M., and Gjorv, O. E.(1992). “High curing temperatures in lightweight high strength concrete.”Concrete Int., 14(12), 40.
39.
Schreyer, H. L., and Neilsen, M. K. (1991). “Healing or negative damage in concrete.”Proc., Conf., Mech. Computing in 1990's and Beyond. ASCE, New York, N.Y., Vol. 1, 303–307.
40.
Shaw, N. J.(1989). “Densification and coarsening during solid state sintering of ceramics: a review of the models.”Powder Metallurgy Int., 21(5), 31.
41.
Shefelbine, H. C. (1982). “Brine migration: a summary report.”SAND82-0152, Sandia Nat. Labs., Albuquerque, N.M.
42.
Sjaardema, G. D., and Krieg, R. D. (1987). “A constitutive model for the consolidation of crushed salt and its use in analyses of backfilled shaft and drift configurations.”SAND87-1977, Sandia Nat. Labs., Albuquerque, N.M.
43.
Skala, L., Kenkre, V. M., and Weiser, M. W. (1990). “Remarks on the thermodynamics of sintering of ceramics.”Physica Status Solidi, 162(B), 429–434.
44.
Smith, D. L., and Evans, B. (1984). “Diffusional crack healing in quartz.”J. Geophys Res., 89(B), 4125–4135.
45.
Spiers, C. J., and Schutjens, P. M. T. M. (1990). “Densification of crystalline aggregates by fluid-phase diffusional creep.” Deformation processes in minerals, ceramics and rocks, D. J. Barber and P. G. Meredith, eds., 334–353.
46.
Urai, J. L., Speirs, C. J., Zwart, H. J., and Lister, G. S.(1986). “Weakening of rock salt during long-term creep.”Nature, 324, 554–557.
47.
Vandermeer, R. A., and Rath, B. B. (1990). “Interface migration during recrystallization: the role of recovery and stored energy gradients.”Metallurgical Trans., 21(A), 1143–1149.
48.
Wanamaker, B. J., Wong, T. F., and Evans, B. (1990). “Decrepitation and crack healing of fluid inclusions in the San Carlos olivine.”J. Geophy. Res., 95(B), 15623–15642.
49.
Wang, M. L. (1994). “Hydration history of cement with fly ash.”Proc., 73rd Annu. Meeting, Transp. Res. Board (TRB), Washington, D.C.
50.
Wang, M. L., Miao, S., Maji, A. K., and Hwang, C. L. (1992). “Effect of water on the consolidation of crushed rock salt.”Proc., 9th Conf., Engrg. Mech., ASCE, New York N.Y., 531–534.
51.
Wang, M. L., Miao, S., and Maji, A. K. (1993). “Grain-size evolution of crushed rock salt.”Proc., 3rd Annu. WERC Technol. Development Conf., WERC, Dept. of Energy, Las Cruces, N.M., 56–76.
52.
Wang, M. L., and Maji, A. K. (1993). “Deformation mechanisms of WIPP backfill.”Final Tech. Rep. to DOE; WERC-91-48.
53.
Wawersik, W. R., and Zeuch, D. H. (1986). “Modeling and mechanistic interpretation of creep of rock salt below 200°C.”Tectonophysics, Vol. 121, 125–152.
54.
Yazdani, S., and Schreyer, H. L.(1990). “Combined plasticity and damage mechanics model for plain concrete.”J. Engrg. Mech., ASCE, 116(7), 1435–1450.
55.
Zeuch, D. H. (1990). “Isostatic hot-pressing mechanism maps for pure and natural sodium chloride: applications to nuclear waste isolation in bedded and domal salt formations.”Int. J. Rock Mech. Min. Sci. Geomech. Abstr., Vol. 27, 505–524.
Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 121 • Issue 10 • October 1995
Pages: 1122 - 1129
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Oct 1, 1995
Published in print: Oct 1995
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