Abstract
Dynamics of fracture and its instabilities have been studied using two-dimensional visco-elastic models. Two models have been developed to describe disordered systems, in which the disorder appears either as topological disorder or as non-uniform mass distribution at mesoscopic length scale. The first model is based on a network of dissipative Born springs and the second model is based on finite element method with a similar dissipative force relaxation mechanism as in the first model. Results of computer simulations in a topologically disordered system show a very similar crack branching, branch bending and velocity oscillation behaviours as found in recent experiments. Also the conjectured scaling of branch bending has been tested favourably. In systems with non-uniform mass-distribution, crack curving and crack arrest were found to occur especially for strongly correlated disorder.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
E. Sharon, S.P. Gross and J. Fineberg, Phys. Rev. Lett. 74, 5096 (1995).
J. Fineberg, S.R Gross, M. Marder, and H.L. Swinney, Phys. Rev. B 45, 5146 (1992)
J. Fineberg, S.R Gross, M. Marder, and H.L. Swinney, Phys. Rev. Lett. 67, 457 (1991).
S.P. Gross, J. Fineberg, M. Marder, W.D. McCormick and H.L. Swinney, Phys. Rev. Lett. 71, 3162 (1993).
A. Yuse and M. Sano, Nature (London) 362, 329 (1993).
Cf. M. Marder, Nature (London) 362, 295 (1993).
F.F. Abraham, D. Brodbrck, R.A. Rafey, and W.E. Rudge, Phys. Rev. Lett. 73, 272 (1994).
M. Marder, and X. Liu, Phys. Rev. Lett. 71, 2417 (1993).
H. Furukawa, Progr. Theor. Phys. 90, 949 (1993)
K. Runde, Phys. Rev. E 49, 2597 (1994).
J.S. Langer, Phys. Rev. Lett. 70, 3592 (1993).
E.H. Yoffe, Philos. Mag. 42, 739 (1951).
P. Heino and K. Kaski, Phys. Rev. B 54 6150 (1996)
P. Heino and K. Kaski, Mesoscopic Maxwell-dissipative Finite Element Model for Crack Propagation, Accepted for publication in Int.J.Mod.Phys.C (1997).
T.T. Rautiainen, M.J. Alava and K. Kaski, Phys. Rev. E 51 R2727 (1995).
L.D. Landau and E.M. Lifshitz, Theory of Elasticity, 3rd revised english ed., Pergamon Press (1986).
O.C. Zienkiewicz and R.L. Taylor, The Finite Element Method, Fourth Edition, Vol 1 and 2, McGraw-Hill Book Company (1994).
W.T. Ashurst and W.G. Hoover, Phys. Rev. B, 14 1465 (1976).
M. Korteoja, A. Lukkarinen, K. Niskanen, and K. Kaski, Proc. Int. paper physics conference, Niagara (1995) (cf. also the work by R.R. Farnood and C.T.J. Dodson).
L. Salminen, M. Korteoja, M. Alava and K. Niskanen, Paperin lujuuden vaihtelusta, KCL Paper Science Centre communications 89. (In finnish, to apper in english.)
A.V. Potapov, M.A. Hopkins, and C.S. Campbell, Int. J. Mod. Phys. C 6 3 371–425 (1995).
M.P. Allen and D.J. Tildesley, Computer simulation of liquids, Oxford university press (1990).
G. Sewell, The Numerical Solution of Ordinary and Partial Differential Equations, Academic Press Inc (1988).
J. Åstrom, M. Kellomäki and J. Timonen, Crack bifurcations in a Disorderless System, preprint (1996).
E. Sharon and J. Fineberg, The Micro-Branching Instability and the Dynamic Fracture of Brittle Materials, preprint (1996).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kaski, K., Heino, P. (1998). Computer Simulations of Fracture in Disordered Visco-elastic Systems. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics X. Springer Proceedings in Physics, vol 83. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46851-3_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-46851-3_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-46853-7
Online ISBN: 978-3-642-46851-3
eBook Packages: Springer Book Archive