TY - GEN
T1 - Developing a stochastic model to predict the strength and crack path of random composites
AU - Alkhateb, H.
AU - Al-Ostaz, A.
AU - Alzebdeh, K. I.
N1 - Funding Information:
The authors wish to acknowledge the partial support for this research from US Air Force Grant # F08637-03-C-6006 with a sub contract # S-29000.23 from Applied Research Associates Inc.
PY - 2007
Y1 - 2007
N2 - We characterize fracture and effective stress-strain graphs in 2-D random composites subjected to a uni-axial 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 effects of scale (size of fibers) and geometric randomness in such composites. We consider several "windows of observation" (scales) and study crack patterns and types of constitutive responses. Based on that two stochastic micro-mechanic models are presented that can predict with confidence the failure probability of random matrix-inclusion composites.
AB - We characterize fracture and effective stress-strain graphs in 2-D random composites subjected to a uni-axial 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 effects of scale (size of fibers) and geometric randomness in such composites. We consider several "windows of observation" (scales) and study crack patterns and types of constitutive responses. Based on that two stochastic micro-mechanic models are presented that can predict with confidence the failure probability of random matrix-inclusion composites.
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M3 - Conference contribution
AN - SCOPUS:84867757924
SN - 9781604239669
T3 - American Society for Composites - 22nd Technical Conference of the American Society for Composites 2007 - Composites: Enabling a New Era in Civil Aviation
SP - 1750
EP - 1768
BT - American Society for Composites - 22nd Technical Conference of the American Society for Composites 2007 - Composites
T2 - 22nd Technical Conference of the American Society for Composites 2007 - Composites: Enabling a New Era in Civil Aviation
Y2 - 17 September 2007 through 19 September 2007
ER -