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Developing a stochastic model to predict the strength and crack path of random composites
Authors:Hunain Alkhateb  Ahmed Al-Ostaz  Khalid I Alzebdeh
Affiliation:1. Department of Civil Engineering, University of Mississippi, 202 Carrier Hall, University, MS 38655, USA;2. Department of Mechanical & Industrial Engineering, Sultan Qaboos University, Muscat, Oman;1. Faculty of Applied Engineering, University of Antwerp, Belgium;2. Institute of Stochastics, TU Bergakademie Freiberg, Germany;1. Institut für Keramik, Glas- und Baustofftechnik, TU Bergakademie Freiberg, Leipziger Str. 28, 09599 Freiberg, Germany;2. Institut für Stochastik, TU Bergakademie Freiberg, Prüferstr. 9, 09599 Freiberg, Germany;1. School of Civil, Environmental and Mining Engineering, University of Adelaide, Adelaide, Australia;2. Department of Civil Engineering and Architecture, University of Pavia, Pavia, Italy;3. EUCENTRE, Pavia, Italy;1. Department of Civil Engineering, University of Aveiro, Campus Universitário de Santiago, 3810-193 Aveiro, Portugal;2. Polytechnic of Porto, School of Engineering, R. Dr. António Bernardino de Almeida, 431, 4200-072 Porto, Portugal;3. Department of Civil Engineering – Structural Division, Faculty of Engineering of the University of Porto, R. Dr. Roberto Frias, 4200-465 Porto, Portugal
Abstract:We characterize fracture and effective stress–strain graphs in 2D random composites subjected to a uniaxial in-plane uniform strain. The fibers are arranged randomly in the matrix. Both fibers and matrix are isotropic and elastic–brittle. We conduct this analysis numerically using a very fine two-dimensional triangular spring network and simulate the crack initiation and propagation by sequentially removing bonds which exceed a local fracture criterion. In particular, we focus on effect of geometric randomness on crack path of random composites. Based on that two stochastic micro-mechanic models are presented that can predict with confidence the failure probability of random matrix–inclusion composites.
Keywords:
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