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Phase transition in fiber bundle model

A. LAHYANI1,* , Y. BOUGHALEB1,2,2, M. QJANI1, K. SBIAAI1, KHALIL BENKHOUJA3, BOUCHTA SAHRAOUI4

Affiliation

  1. Laboratoire de physique de la matière condensé, Faculté des sciences, Université Chouaib Doukkali, El Jadida, Morocco
  2. Ecole Normale Supérieure, Université Hassan II, Casablanca, Morocco
  3. Chemistry Department, Faculty of Sciences, UCD University, El Jadida, Morocco
  4. MINOS, University of Angers, Institute of sciences and molecular technologies of Angers. MOLTECH Anjou - UMR CNRS 6200, 2 Bd Lavoisier 49045 ANGERS cedex 2, France

Abstract

In the present work, we study the phase transition in the composite materials by using the Langevin equation within the framework of the fiber bundle model, subject to the global load-sharing rule in which the load failing elements is shared equally among all surviving elements. We show that fracture in the case of global load sharing can be seen as a secondorder phase transition and then we define the order parameter related to this phase transition. Finally we present some properties related to failure phenomenon obtained in the critical point like the failure time and the susceptibility.

Keywords

Phase transitions, Fiber bundle model, Heterogeneous materials, Langevin dynamics.

Submitted at: Sept. 28, 2013
Accepted at: Nov. 7, 2013

Citation

A. LAHYANI, Y. BOUGHALEB, M. QJANI, K. SBIAAI, KHALIL BENKHOUJA, BOUCHTA SAHRAOUI, Phase transition in fiber bundle model, Journal of Optoelectronics and Advanced Materials Vol. 15, Iss. 11-12, pp. 1291-1294 (2013)