Abstract
Localized deformation band formation and crack generation in elastic brittle-plastic materials were simulated numerically in various loading conditions. Cracking patterns for a specimen with a failed inclusion and for a damaged layer of a geomedium in shear, as well as for a sandstone specimen in compression, were obtained. To describe deformation, a complex approach was used. According to this approach, in the course of plastic deformation damages are accumulated and govern bulk plastic deformation. Due to damage accumulation, strength decreases and material degradation occurs, while macrocrack opening and material fracture take place only under the action of tensile stresses.
Similar content being viewed by others
References
Rice, J.R. (1980). The Mechanics of Earthquake Rupture, in Physics of the Earth's Interior, Amsterdam, Holland, 555-649.
Germanovich, L.N., Salganik, R.L., Dyskin, A.V. and Lee, K.K. (1994). Mechanisms of brittle fracture of rock with pre-existing cracks in compression. Pageoph 143(1/2/3), 117-149.
Drucker, D.C. and Prager, W. (1952). Soil mechanics and plastic analysis or limit design. Q. Applied Math 10(2), 157-165.
Nikolaevskii, V.N. (1972). Soil Mechanical Properties and Plasticity Theory. VINITI, Moscow.
Garagash, I.A. and Nikolaevskii, V.N. (1989). Nonassociated flow rules and localization of plastic deformation. Advanced in Mechanics 12(1), 131-183.
Dragon, A. and Mroz, Z. (1979). A continuum model for plastic-brittle behavior of rock and concrete. Int. J. Eng. Sci. 17, 121.
Bazant, Z.P. (1978). Endochronic inelasticity and incremental plasticity. Int. J. of Solids and Structures 14, 691-714.
Stefanov, Yu.P. (2002). Deformation localization and fracture in geomaterials. Numerical modelling. Phys. Mesomech. 5(5), 107-119.
Labuz, J.F., Dai, S.-T. and Papamichos, E. (1996). Plane-strain compression of rock-like materials. Int. J. of Rock Mech. and Min. Sci. & Geomech. Abstr. 33(6), 573-584.
Revuzhenko, A.F., Stazhevskii, S.B. and Shemyakin, E.I. (1974). On the deformation mechanism in granular material under large shears. Fiz. Tekh. Probl. Razr. Polezn. Iskop. 3, 130-133.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Stefanov, Y.P. Numerical investigation of deformation localization and crack formation in elastic brittle-plastic materials. International Journal of Fracture 128, 345–352 (2004). https://doi.org/10.1023/B:FRAC.0000040998.25746.66
Issue Date:
DOI: https://doi.org/10.1023/B:FRAC.0000040998.25746.66