TECHNICAL PAPERS
Feb 1, 1998

Endochronic Theory of Continuum Damage Mechanics

Publication: Journal of Engineering Mechanics
Volume 124, Issue 2

Abstract

The constitutive framework presented accounts for the coupling between the damage process and the plastic deformation process. The model build its basis on the thermodynamic equivalence of an actual damaged continuum and an equivalent fictitious undamaged continuum. It uses damage internal state variables that are independent of the damage measure and it uses corotational derivatives of damage descriptors. An endochronic theory is used to derive explicit equations. Two intrinsic times are used. The first intrinsic time is used to describe the plastic deformation history of a material. The second intrinsic time is used to depict the damage history. The constitutive equations of this theory are continuous without discontinuities, and the yield conditions are not needed in the numerical calculation. The proposed model is verified against reported results for one-dimensional, monotonic and cyclic loading of concrete and mortar specimens subjected to uniaxial tension and compression.

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References

1.
Betten, J.(1983). “Damage tensors in continuum mechanics.”J. de Mecanique theorique et appliquee, 10(1), 13–32.
2.
Bresler, B., and Bertero, V. V. (1979). “Influence of high strain rate and cyclic loading behavior of unconfined and confined concrete in compression.”Rep. No. EERC 75-16, Dept. of Civ. Engrg., Univ. of California, Berkeley, Calif.
3.
Chaboche, J. L.(1988). “Continuum damage mechanics, parts I and II.”J. Appl. Mech., 55(1), 59–72.
4.
Chow, C. L., and Chen, X. F.(1992). “An anisotropic model of damage mechanics based on endochronic theory of plasticity.”Int. J. Fracture, 55(2), 115–130.
5.
Gopalaratnam, V. S., and Shah, S. P. (1985). “Softening response of plain concrete in direct tension.”ACI J., May–June, 310–323.
6.
Hughes, B. P., and Chapman, G. P.(1966). “The complete stress-strain curve for concrete in direct tension.”RILEM, 30, 95.
7.
Im, S., and Atluri, S. N.(1987). “A study of two finite strain plasticity models: an internal time theory using Mandell's director concept, and a general isotropic/kinematic hardening theory.”Int. J. Plasticity, 3(2), 163–191.
8.
Jones, R., and Kaplan, M. F.(1957). “The effect of coarse aggregate on the model of failure of concrete in compression and flexure.”Mag. of Concrete Res., 9(26), 89.
9.
Ju, J. W.(1989). “On energy based coupled elastoplastic damage theories: constitutive modeling and computational aspects.”Int. J. Solids and Struct., 25(7), 803–833.
10.
Kachanov, L. M. (1958). “On the time to failure during creep.”Izv. Acad. Nauk SSSR, Otd. Techn. Nauk, 337–360.
11.
Krajcinovic, D.(1983). “Constitutive equations for damaging materials.”J. Appl. Mech., 50(2), 355–360.
12.
Lemaitre, J.(1985). “A continuum damage mechanics model for ductile fracture.”J. Engrg. Mat. Technol., 107(1), 83–89.
13.
Lemaitre, J. (1992). A course on damage mechanics. Springer-Verlag New York, Inc., New York, N.Y.
14.
Murakami, S., and Ohno, N. (1981). “A continuum theory of creep and creep damage.”Creep structures. A. R. S. Ponter and D. R. Hayhust, eds., Springer-Verlag, KG Berlin, Germany, 922–944.
15.
Niu, Xiaode(1989). “Endochronic plastic constitutive equations coupled with isotropic damage and damage evolution models.”Eur. J. Mech., A/Solids, 8(4), 293–308.
16.
Ortiz, M.(1985). “A constitutive theory for the inelastic behavior of concrete.”Mech. of Mat., 4(1), 67–93.
17.
Stumvoll, M., and Swoboda, G.(1993). “Deformation behavior of ductile solids containing anisotropic damage.”J. Engrg. Mech., ASCE, 119(7), 1331–1352.
18.
Valanis, K. C. (1971). “A theory of viscoplasticity without a yield surface, part I: general theory.”Arch. of Mechs. 23, 517–551.
19.
Valanis, K. C.(1980). “Fundamental consequences of a new intrinsic time measure. Plasticity as a limit of the endochronic theory.”Arch. of Mechs., 32(2), 171–191.
20.
Valanis, K. C.(1990). “A theory of damage in brittle materials.”Engrg. Fracture Mech., 36(3), 403–416.
21.
Valanis, K. C., and Lee, C. F.(1984). “Endochronic theory of cyclic plasticity with applications.”J. Appl. Mech., 51(2), 367.
22.
Wu, H. C., and Aboutorabi, M. R.(1988). “Endochronic modelling of coupled behavior of porous and granular materials.”Int. J. Plasticity, 4(2), 163–181.
23.
Wu, H. C., and Komarakulnanakorn, C.(1992). “On the limit case of endochronic theory.”Int. J. Solids and Struct., 29(2), 135–143.
24.
Wu, H. C., Lu, J. K., and Pan, W. F.(1995). “Endochronic equations for finite plastic deformation and application to metal tube under torsion.”Int. J. Solids and Struct., 32(8/9), 1079–1097.
25.
Wu, H. C., Wang, Z. K., and Aboutorabi, M. R.(1985). “Endochronic modeling of sand in true triaxial test.”J. Engrg. Mech., 111(10), 1257–1276.
26.
Wu, H. C., and Yip, M. C.(1980). “Strain rate and strain rate history effects on the dynamic behavior of metallic materials.”Int. J. Solids and Struct., 16(6), 515–536.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 124Issue 2February 1998
Pages: 200 - 208

History

Published online: Feb 1, 1998
Published in print: Feb 1998

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Authors

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Han C. Wu
Prof., Dept. of Civ. and Envir. Engrg., Univ. of Iowa, Iowa City, IA 52242.
C. Komarakulnanakorn
Grad. Student, Dept. of Civ. and Envir. Engrg., Univ. of Iowa, Iowa City, IA.

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