Abstract
Constitutive theory of plasticity coupled with orthotropic damage for geomaterials was established in the framework of irreversible thermodynamics. Prime results include: 1) evolution laws are presented for coupled evolution of plasticity and orthotropic damage; 2) the orthotropic damage tensor is introduced into the Mohr-Coulomb criterion through homogenization. Both the degradation of shear strength and degradation of friction angle caused by damage are included in this model. The dilatancy is calculated with the so-called damage strain.
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References
Lemaitre J.A Course on Damage Mechanics [M]. 2nd ed. Berlin: Springer, 1990.
Hansen N R, Schreyer H L. A thermodynamically consistent framework for theories of elastoplasticity coupled with damage [J].Int J Solids Structures, 1994,31(2): 359–389.
Hayakawa K, Murakami S. Thermodynamic modeling of elastic-plastic damage and experimental validation of damage potential [J].Int J Dama Mech, 1997,6(2):333–363.
Mariotti de Sciarra F. A new variational theory and a computational algorithm for coupled elastoplastic damage models [J].Int J Solids Structures, 1997,34(9): 1761–1796.
Basista M, Gross D. The sliding crack model of brittle deformation: an internal variable approach[J].Int J Solids Structures, 1998,35(3): 487–509.
Dragon A, Halm D. A mesocrack damage and friction coupled model for brittle materials [A]. In: Voyiadjis G Z, Ju J W, Chaboche J L eds.Damage Mechanics in Engineering Materials[C]. Amsterdam: Elsevier Science, 1998, 321–336.
Meschke G, Lackner R, Mang H A. An anisotropic elastoplastic-damage model for plain concrete [J].Int J Numer Mech Engng, 1998,42(3): 703–727.
Yazdani S, Karnawat S. A constitutive theory for brittle solids with application to concrete [J].Int J Dama Mech, 1996,5(1): 93–110.
Vutukuri V S, Lama R D, Saluja S S.Handbook on Mechanical Properties of Rocks [M]. Vol. 1. Berlin: Trans Tech Publisher, 1974.
Duveau G, Shao J F. A modified single plane of weakness theory for the failure of highly stratified rocks [J].Int J Rock Mech Min Sci, 1998,35(6): 807–813.
Hoek E, Brown E T. Practical estimation of rock mass strength [J].Int J Rock Mech Min Sci, 1997,34(8), 1165–1186.
Muller D, Kratochvil J, Berveiller M. Nonlocal versus local elastoplastic behavior of heterogeneous materials [J].Int J Plasticity, 1993,9(3): 633–645.
Rice J R. Inelastic constitutive relations for solids: an internal variable theory and its application to metal plasticity [J].J Mech Phys Solids, 1971,19(2): 433–455.
Swoboda G, Shen X P, Rosas L. Damage model for jointed rock mass and its application to tunneling [J].Computer and Geotechnics, 1998,22(3/4): 183–203.
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Communicated by YANG Gui-tong
Foundation item: Foundation of the Ministry of State Education of China (1999363); This paper was partly puiblished at the Inter Conf on Microstru Mech Prop New Engng Mater, Sept, 20–23, 1999
Biography: SHEN Xin-pu (1963-), Professor, Doctor
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Xin-pu, S., Mroz, Z. & Bing-ye, X. Constitutive theory of plasticity coupled with orthotropic damage for geomaterials. Appl Math Mech 22, 1028–1034 (2001). https://doi.org/10.1007/BF02438321
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DOI: https://doi.org/10.1007/BF02438321