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Spring-block type models for crack propagation in glass plates

E.-Á. HORVÁTH1, F. JÁRAI-SZABÓ1,2,* , Z. NÉDA1

Affiliation

  1. Faculty of Physics, Babeş-Bolyai University, RO-400084 Cluj-Napoca, str. Kogălniceanu nr. 1, Romania
  2. Interdisciplinary Computer Simulation Group, KMEI, str. Tipografiei 12, RO-400101, Cluj-Napoca, Romania

Abstract

Crack propagation in thin glass plates under high shock loading is investigated by computer simulations. The widely used spring-block type model is adapted in order to reproduce the main features of the glass breaking phenomenon. Blocks represent mesoscopic elements of the glass while the coupling between them is modeled by elastic springs with well defined breaking threshold values. The amorphous structure of glass is captured by randomly distributed blocks and spatially randomly distributed friction forces. The localized external stress is applied by increasing the spring constants in a central region of the studied system. Therefore, radial crack lines will nucleate and propagate through the system. The simulations reproduce qualitatively well the experimentally obtained radial crack lines and the dynamics induced by the shock is also revealed..

Keywords

Glass breaking, Monte-Carlo simulations, Burridge-Knopoff type models.

Submitted at: March 31, 2008
Accepted at: Aug. 28, 2008

Citation

E.-Á. HORVÁTH, F. JÁRAI-SZABÓ, Z. NÉDA, Spring-block type models for crack propagation in glass plates, Journal of Optoelectronics and Advanced Materials Vol. 10, Iss. 9, pp. 2433-2437 (2008)