Constitutive Theory of Plasticity Coupled With Orthotropic Damage for Geomaterials
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摘要: 在不可逆热力学框架内建立了岩土材料的正交异性损伤塑性耦合宏观唯象本构理论。主要结果有:1)给出了耦合的塑性和损伤的演化律;2)从对含裂纹单元的细观分析入手,通过均匀化(Homogenization)处理,将损伤引入到Mohr-Coulomb条件中。模型同时考虑了损伤对剪切强度及摩擦角的影响,扩容现象则通过损伤应变来计算。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 isintroduced 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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Key words:
- damage /
- plasticity /
- coupling /
- dilatancy /
- geomaterial
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[1] Lemaitre J. A Course on Damage Mechanics. 2nd ed[M]. Berlin: Springer, 1990. [2] 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. [3] 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. [4] 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. [5] 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. [6] 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. [7] 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. [8] Yazdani S,Karnawat S. A constitutive theory for brittle solids with application to concrete [J]. Int J Dama Mech, 1996, 5(1): 93-110. [9] Vutukuri V S, Lama R D, Saluja S S. Handbook on Mechanical Properties of Rocks[M]. Vol.1. Berlin: Trans Tech Publisher, 1974. [10] 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. [11] Hoek E,Brown E T. Practical estimation of rock mass strength [J]. Int J Rock Mech Min Sci, 1997, 34(8), 1165-1186. [12] Muller D, Kratochvil J,Berveiller M. Nonlocal versus local elastoplastic behavior of heterogeneous materials [J]. Int J Plasticity, 1993, 9(3): 633-645. [13] Rice J R. Inelastic constitutive relations for solids: an internal variable theory and its applicatin to metal plasticity [J]. J Mech Phys Solids,1971, 19(2): 433-455. [14] 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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