Abstract
Numerical simulation of mechanical behavior of heterogeneous materials under loading with an explicit consideration for their 3D mesoscale structure is given. A 3-D problem in the dynamic formulation is solved using the finite-difference method. As an example, a coal specimen under tension and compression is examined, with an initial crack pattern taken into account. It is been shown that the fracture criterion we used in the calculations provides adequate description of fracture behavior under tension and compression on both macro and mesoscale level.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
R. J. Astley (1992) Finite elements in solids and structures University Press Cambridge
R. Balokhonov (2005) ArticleTitleHierarchical numerical simulation of nonhomogeneous deformation and fracture of composite materials Physical Mesomechanics 8 99–119
G.P. Cherepanov (1979) Mechanics of brittle fracture McGraw Hill New York Occurrence Handle0442.73100
O.I. Cherepanov (2003) Numerical solution of quasistatic problems in mesomechanics SB RAS Publ Novosibirsk
Jensen, D.J. (2002) Microstructural characterization in 3 dimensions. In R. Pyrz, J. Schjødt-homsen, J.C. Rauhe, T. Thomsen and L.R. Jensen (eds.) New Challenges in Mesomechanics: Proceedings of International Conference, Aalborg, Denmark 541-547.
Kachanov, L.M. (1974). Basics of fracture mechanics. Science. Moscow [in Russian].
Raabe, D., Roters, F., Barlat, F., Chen, L.-Q. (Eds) (2004) Continuum scale simulation of engineering materials. Wiley-VCH Verlag GmbH & Co.
Romanova, V., Balokhonov, R, and Karpenko, N., (2004). Numerical simulation of material behavior with explicit consideration for three-dimensional structural heterogeneity. Physical Mesomechanics 7, 71-79 [in Russian]
V. Romanova R. Balokhonov P. Makarov S. Schmauder E. Soppa (2003) ArticleTitleSimulation of elasto-plastic behaviour of an artificial 3D-structure under dynamic loading Computational Materials Science 28 518–528 Occurrence Handle10.1016/j.commatsci.2003.08.009
V. Romanova E. Soppa S. Schmauder R. Balokhonov (2005) ArticleTitleMesomechanical analysis of the elasto-plastic behavior of a 3D composite-structure under tension Computational mechanics 36 475–483 Occurrence Handle10.1007/s00466-005-0682-5 Occurrence Handle2005CompM..36..475R
Trubitsyn, A., Makarov, P., Cherepanov O., et al., (2002). Adaptation of mesomechanical methods to analysis of deformation and fracture in coals. Kemerovo, Kuzbass-COT [in Russian].
Wilkins, M., French, S., Sorem, M. (1975) Finite-difference scheme of 3D-spatial and time-dependant problems. Numerical methods in fluid dynamics. Mir. Moscow 115-119 [in Russian].
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Romanova, V.A., Balokhonov, R.R. & Makarov, P.V. Three_Dimensional Simulation of Fracture Behavior of Elastic-Brittle Material with Initial Crack Pattern. Int J Fract 139, 537–544 (2006). https://doi.org/10.1007/s10704-006-0101-8
Issue Date:
DOI: https://doi.org/10.1007/s10704-006-0101-8