Particle Model for Quasibrittle Fracture and Application to Sea Ice
Publication: Journal of Engineering Mechanics
Volume 121, Issue 9
Abstract
Fracture of quasibrittle materials with a large zone of distributed cracking is simulated by the particle model (discrete element method). The particles at the microlevel interact only by central forces with a prescribed force-displacement or stress-strain relation, which exhibits postpeak softening and is characterized by microstrength and microfracture energy. It is shown that a regular lattice, even though capable of closely approximating isotropic elastic properties, exhibits strong directional bias favoring propagation along a few preferred directions. A randomly generated particle model has no such bias. With a proper choice of the microlevel constitutive law, it can realistically simulate fracture of an ice floe during impact on a rigid obstacle. Explicit integration of the equations of motion is used to simulate the impact process and to explore the effect of the floe size and its initial velocity on the failure pattern and the history of the contact force.
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References
1.
Bathe, K. J. (1982). Finite element procedures in engineering analysis . Prentice-Hall, Inc., Engelwood Cliffs, N.J.
2.
Bažant, Z. P., Tabbara, M. R., Kazemi, M. T., and Pijaudier-Cabot, G.(1990). “Random particle model for fracture of aggregate or fiber composites.”J. Engrg. Mech., ASCE, 116(8), 1686–1705.
3.
Belytschko, T. B., Phesha, M., and Dowding, C. H. (1984). “A computer method for stability analysis of caverns in jointed rock.”Int. J. for Numerical and Analytical Methods in Geomech., Vol. 8, 473–492.
4.
Cundall, P. A. (1971). “A computer model for simulating progressive large scale movements in blocky rock systems.”Proc., Int. Symp. on Rock Fracture, ISRM, Nancy, France.
5.
Cundall, P. A., and Strack, O. D. L. (1979). “A discrete numerical model for granular assemblies.”Geotechnique, London, England, Vol. 29, 47–65.
6.
Danielewicz, B. W., and Metge, M. (1981). “Ice forces on Hans Island.”APOA Proj. No. 181, British Petroleum Co., London, England.
7.
Disorder and fracture. (1990). J. C. Charmet, S. Roux, and E. Guyon, eds., Plenum Publishing Corp., New York, N.Y.
8.
Dowding, C. H., Zubelewicz, A., O'Connor, K. M., and Belytschko, T. B. (1991). “Explicit modeling of dilation, asperity degradation, and cyclic seating of rock joints.”Comp. and Geotechnics, Vol. 11, 209–227.
9.
Herrmann, H. J. (1991). “Patterns and scaling in fracture.”Fracture processes in concrete, rock and ceramics, Chapmann & Hall Publishers, New York, N.Y.
10.
Jirásek, M., and Bažant, Z. P. (1995). “Macroscopic fracture characteristics of random particle systems.”Int. J. Fracture, Vol. 69, 201–228.
11.
Kawai, T. (1980). “Some considerations on the finite element method.”Int. J. for Numerical Methods in Engrg., Vol. 16, 81–120.
12.
Moukarzel, C., and Herrmann, H. J. (1992). “A vectorizable random lattice.”Preprint HLRZ 1/92, HLRZ KFA, Jülich, Germany.
13.
Plesha, M. E., and Aifantis, E. C. (1983). “On the modeling of rocks with microstructure.”Proc., 24th U.S. Symp. Rock Mech., Texas A & M Univ. College Station, Tex.
14.
Plesha, M. E., Hutson, R. W., and Dowding, C. H. (1991). “Determination of asperity damage parameters for constitutive models of rock discontinuities.”Int. J. for Numerical and Analytical Methods in Geomech., Vol. 15, 289–294.
15.
Proceedings of the 11th IAHR international symposium on ice. (1992). T. M. Hrudey et al., eds., Univ. of Alberta, Edmonton, Canada.
16.
Sanderson, T. J. O. (1988). Ice mechanics risks to offshore structures . Graham and Trotman, Boston, Mass.
17.
Schlangen, E. (1993). “Experimental and numerical analysis of fracture processes in concrete,” PhD thesis, Tech. Univ. of Delft, The Netherlands.
18.
Schlangen, E., and van Mier, J. G. M. (1992). “Experimental and numerical analysis of micromechanisms of fracture of cement-based composites.”Cement and Concrete Composites, Vol. 14, 105–118.
19.
Schlangen, E., and van Mier, J. G. M. (1993). “Fracture modeling of granular materials.”Proc., Computational Methods in Mat. Sci., Mat. Res. Soc., Pittsburgh, Pa, 153–158.
20.
Serrano, A. A., and Rodriguez-Ortiz, J. M. (1973). “A contribution to the mechanics of heterogeneous granular media.”Proc., Symp. Plasticity and Soil Mech., Cambridge, England.
21.
Statistical models for the fracture of disordered media. (1990). H. J. Herrmann and S. Roux, eds., North-Holland Publishing Co., New York, N.Y.
22.
Strikwerda, J. C. (1988). Finite difference schemes and partial differential equations . Wadsworth and Brooks, Pacific Grove, Calif.
23.
Thornton, C., Kafui, D.-K., and Yin, K.-K. (1993). “Applications of DEM to impact fracture/fragmentation.”Proc., 2nd Int. Conf. on Discrete Element Methods, J. R. Williams and G. G. W. Mustoe, eds., IESL Publications, Cambridge, Mass., 265–273.
24.
van Mier, J. G. M., and Schlangen, E. (1993). “An experimental and numerical study of mode I (tensile) and mode II (shear) fracture in concrete.”J. of the Mechanical Behavior of Materials, Vol. 4, 179–190.
25.
Zubelewicz, A. (1980). “Contact element method,” PhD thesis, Tech. Univ. of Warsaw, Warsaw, Poland (in Polish).
26.
Zubelewicz, A. (1983). “Proposal of a new structural model for concrete.”Archiwum Inzynierii Ladowej, Warsaw, Poland, Vol. 29, 417–429 (in Polish).
27.
Zubelewicz, A., and Mróz, Z. (1983). “Numerical simulation of rockburst processes treated as problems of dynamic instability.”Rock Mech. and Engrg., Vol. 16, 253–274.
28.
Zubelewicz, A., and Bažant, Z. P. (1987). “Interface element modeling of fracture in aggregate composites.”J. Engrg. Mech., ASCE, Vol. 113, 1619–1630.
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Copyright © 1995 American Society of Civil Engineers.
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Published online: Sep 1, 1995
Published in print: Sep 1995
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