Two-dimensional dynamic simulation of fracture and fragmentation of solids
Abstract
We present a two-dimensional discrete model of solids that allows us to follow the behavior of the solid body and of the fragments well beyond the formation of simple cracks. The model, consisting of polygonal cells connected via beams, is an extension of discrete models used to study granular flows. This modeling is particularly suited for the simulation of fracture and fragmentation processes. After calculating the macroscopic elastic moduli from the cell and beam parameters, we present a detailed study of an uniaxial compression test of a rectangular block, and of the dynamic fragmentation processes of solids in various experimental situations. The model proved to be successful in reproducing the experimentally observed subtleties of fragmenting solids.
Keywords
References
[1] N. Arbiter, C.C. Harris, G.A. Stamboltzis, Single fracture of brittle spheres. Soc. of Min. Eng., 244: 119- 133, 1969.[2] Y.M. Bashir, J.D. Goddard, A novel simulation method for the quasi-static mechanics of granular assemblages. J. Rheol., 35: 849- 885, 1991.
[3] P.A. Cundall, O.D.L. Strack, A discrete numerical model for granular assemblages. Géotechnique, 29: 47- 65, 1979.
[4] P.A. Cundall, Numerical experiments on localization in frictional materials. Ingenieur-Archiv, 59: 148-159, 1989.
[5] A. Fujiwara, A. Tsukamoto, Experimental study on the velocity of fragments in collisional breakup. Icarus, 44: 142- 153, 1980.
This work is licensed under a Creative Commons Attribution 4.0 International License.