Modeling of Rockburst by Elastoplastic Damage Theory at Finite Strains

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Rockburst is modeled in this paper by the theory of elastoplastic damage at finite stains. Isotropic damage coupled with elastoplasticity is assumed and multiplicative kinematics in a purely mechanical setting is further applied. Merging the finite strain plasticity framework of Simo and the thermodynamics with internal variables of Lemaitre in definition of damage including processes, the Helmholtz free energy is additively decomposed to characterize the basic mechanism of elasto-plasticity and damage of brittle materials. The numerical simulations for granite burst are conducted by finite element technique.

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384-390

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January 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] L. M. Kachanov, Time of the rupture process under creep conditions, Izv. Akad. Nauk. SSR 8, p.26–31, (1958).

Google Scholar

[2] Y.N. Robotnov, Creep rupture in applied mechanics, in Proceedings of the 12th International Congress on Applied Mechanics, 1968, pp.342-349.

Google Scholar

[3] Jirasek, M., Z.P. Bažant, Inelastic Analysis of Structures. Chichester: Wiley, 2002.

Google Scholar

[4] D. Krajcinovic, Continuous Damage Mechanics Revisited: Basic Concepts and Definitions. J. Appl. Mech., 52, p.829–834, (1985).

DOI: 10.1115/1.3169154

Google Scholar

[5] J. Lemaitre, J.L. Chaboche, Mechanics of Solid Materials. Cambridge University Press, (1990).

Google Scholar

[6] J. Lemaitre, A Course on Damage Mechanics, 2nd ed., Springer, (1996).

Google Scholar

[7] Simo, J.C., J.W. Ju, Strain- and Stress-based Continuum Damage Models – I. Formulation and II. Computational Aspects. Int. J. Solids Structs, 23, p.821–869, (1987).

DOI: 10.1016/0020-7683(87)90084-9

Google Scholar

[8] J.C. Simo, Algorithms for Static and DynamicMultiplicative Plasticity that Preserve the Classical Return Mapping Schemes of the Infinitesimal Theory. Comp. Meth. Appl. Mech. Engng, 99, p.61–112, (1992).

DOI: 10.1016/0045-7825(92)90123-2

Google Scholar

[9] E.A., de Souza Neto, D. Peric, D.J.R. Owen, Computational methods for plasticity: Theody and applications, Chichester: John Wiley & Sons, Ltd. (2008).

Google Scholar

[10] B.D. Colman, M.E. Gurtin, Thermodynamics with internal variables, J. Chem. Phys., 47, pp.597-613, (1967).

Google Scholar

[11] J.C. Simo, G. Meschke, A new class of algorithms for classical plasticity extended to finite strains. Application to geomaterials, Computational Mechamcs, 11, pp.253-278, (1993).

DOI: 10.1007/bf00371865

Google Scholar

[12] J.C. Simo, C. Miehe, Associative Coupled Thermoplasticity at Finite Strains: Formulation, Numerical Analysis and Implementation. Comp. Meth. Appl. Mech. Engng, 98, 41-104, (1992).

DOI: 10.1016/0045-7825(92)90170-o

Google Scholar

[13] G.A. Maugin, Thermodynamics of plasticity and fracture, Cambridge University Press, Cambridge, (1992).

Google Scholar

[14] J.C. Simo, T.J.R. Hughes, Computational inelasticity, New York: Springer, (1998).

Google Scholar

[15] M.C. He, J.L. Miao, J.L. Feng, Rock burst process of limestone and its acoustic emission chanracteristics under true-triaxial unloading conditions, Int. J. Rock mech. Min. Sci., 47, pp.286-298, (1996).

DOI: 10.1016/j.ijrmms.2009.09.003

Google Scholar

[16] J. Mazars, G. Pijaudier-Cabot, Continuum damage theory: application to concrete, J. Eng. Mech., 152(2), pp.345-365, (1989).

DOI: 10.1061/(asce)0733-9399(1989)115:2(345)

Google Scholar