Modelling of anisotropic damage by microcracks: towards a discrete approach

• Autorzy: Bargellini R. , Halm D. , Dragon A.
• Języki publikacji: EN

Abstrakty

EN

Modelling of anisotropic damage by microcracks remains a pivotal topic of Damage Mechanics. Many models are built employing a single second-order tensor damage variable D and its spectral decomposition. However, some inconveniences are encountered such as non-uniqueness of the free energy or decomposition of the strain tensor. This paper first reconsiders the anisotropic damage definition; a discrete approach, which introduces nine microcrack densities associated with nine fixed directions, is presented. This definition permits to represent essential phenomena concerning quasi-brittle materials behaviour: the induced anisotropic degradation of elastic properties and the unilateral effect are notably described. In addition, the quoted inconveniences are avoided.

Słowa kluczowe

EN

damage mechanics; microcrack; anisotropic damage; discrete approach; thermodynamic potential; macroscopic and phenomenological anisotropic damage model

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2006
• Tom: Vol. 58, nr 2
• Strony: 93--123
• Opis fizyczny: Bibliogr. 29 poz.

Twórcy

autor

Bargellini R.

autor

Halm D.

autor

Dragon A.

• Laboratoire de Mecanique et de Physique des Materiaux, UMR CNRS 6617 Ecole Nationale Superieure de Mecanique et d'Aerotechnique BP 40109, 86961 Futuroscope Chasseneuil Cedex, France

Bibliografia

• 1. D. FANELLA, D. KRAJCINOVIC, A micromechanical model for concrete in compression, Eng. Fracture Mcch., 29, 1, 49-66, 1988.
• 2. D. KRAJCINOVIC, Damage mechanics, Mech. Mat., 8, 117-197, 1989.
• 3. S. ANDRIEUX, Y. BAMBERGER, J.J. MARIGO A model of microcracked materials for concretes and rocks [in French], J. de Mec. Theorique et Appliquee, 5, 3, 471-513, 1986.
• 4. J.L. CHABOCHE, Damage-induced anisotropy: on the difficulties associated with the active /passive unilateral condition, Int. J. Damage Mech, 1, 149-171, 1992.
• 5. A. DRAGON, F. CORMERY, T. DESOYER and D. HALM., Localized failure analysis using damage models Localization and bifurcation theory for soils and rocks, R. chambon et coll. [Eds.]. Balkema, Rotterdam, 127-140, 1994.
• 6. D. HALM and A. DRAGON, A model of anisotropic damage by mesocrack growth; unilateral effect, Int. J. Damage Mech., 5, 384-402, 1996.
• 7. A. DRAGON and D. HALM, Damage mechanics, some modelling challenges, Series: AMAS Lecture Notes 9, 139 pages, AMAS Warsaw 2004.
• 8. I.CAROL, K. WILLAM, Spurious energy dissipation/generation in stiffness recovery models for elastic degradation and damage, Int. J. Solids Structures, 33, 20-22, 2939-2957, 1996.
• 9. M. ORTIZ, A constitutive theory for the inelastic behaviour of concrete, Mech. Mat., 4, I 67-93,1985.
• 10. J. Ju, On energy-based coupled elastoplatic damage theories, Int. J. Solids Structures, j 25, 803-833,1989.
• 11. F. CORMERY and H. WELEMANE, A critical review of some damage models with unilateral effect, Mech. Res. Corn., 29, 391-395, 2002.
• 12. J.L. CHABOCHE., Development of continuum damage mechanics for elastic solids sustaining anisotropic and unilateral damage, Int. J. Damage Mech., 2, 311-329, 1993.
• 13. J.P. BOEHLER, Anisotropic behaviour laws in continuum mechanics [in French], J. Meca., 17, 153-190, 1978.
• 14. P. GERMAIN, Q.S. NGUYEN and P. SUQUET, Continuum thermodynamics, J. Applied Mechanics, 50, 1010-1020. 1983.
• 15. M. KACHANOV, Effective elastic properties of cracked solids: critical review of some basic concepts, ASME Appl. Mech. Rev., 45, 8, 304-335, 1992.
• 16. A. CURNIER, Q. HE. and P. ZYSSET, Conewise linear elastic materials, J. Elasticity, 37, 1-38, 1995.
• 17. M. SiBAl, L. DORMIEUX, V. PENSEE. and D. KONDO, Effects of microcracking on rocks poroelasticity: experimental study and theoretical analysis [in French], Proc. French Congress of Mechanics XVI, 2003.
• 18. V. PENSEE and D. KONDO, A 3-D micromechanical analysis of damage by mesocracking [in French], Comptes Rendus de PAcademie des Sciences - Series IIB - Mechanics, 329, 4, 271-276, 2001.
• 19. H. HORII, S. NEMAT NASSER, Compression-induced microcrack growth in brittle solids : Axial splitting and shear failure, J. Geophysical Research, 90, B4, 3105-3125, 1985.
• 20. J. Ju, On two-dimensional self-consistent micromechanical damage models for brittle solids, Int. J. Solids and Structures. 27, 2, 227-258, 1991.
• 21. B. HALPHEN and Q.S. NGUYEN, On generalized standard materials [in French], J. Meca., 14, 1, 39-63, 1975.
• 22. J.P. DEFLANDRE, 0. VINCKE, E. REBUT, Contribution of the acoustic emission analysis to the interpretation of the uniaxial compressive test, Proc. 36th U.S. Symposium on Rock Mechanics, Daemen & Schultz, 867-872, 1995.
• 23. M. HAYES, Connexions between the moduli for anisotropic elastic materials, J. Elasticity, 2, 2, 1972.
• 24. G. PECQUEUR, Experimental study and modelling of a chalk and a sandstone in torsion [in French], PhD Thesis, University Lille I, 1995.
• 25. M. KACHANOV, Elastic solids with many cracks and related problems, Adv. Appl. Mech., Vol. 30, HUTCHINSON J. and Wu T. [Eds.], Academic Press, 259-445, New York 1993.
• 26. H. WELEMANE and F. CORMERY, Some remarks on the damage unilateral effect modelling for microcracked materials, Int. J. Damage Mech, 11, 65-86, 2002.
• 27. D. HALM, A. DRAGON, An anisotropic model of damage and frictional sliding for brittle materials, Eur. J. Mech., A/Solids, 17, 3, 439-460, 1998.
• 28. D. HALM, A. DRAGON and Y. CHARLES, A modular damage model for quasi-brittle solids: interaction between initial and induced anisotropy, Arch. Appl. Mech., 72, 498-510, 2002.
• 29. C. GRUESCU., A scale transition approach for damage in anisotropic materials: application to quasi-brittle matrix composites [in French], PhD Thesis, University Lille I, 2004.