Statistics of strength of elastic-brittle composite materials

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We study crack patterns and effective stress-strain response in unidirectional fiber-matrix composites subjected to out-of-plane and in-plane loading. The fibers are aligned in the longitudinal direction and arranged randomly, with no overlap, in the transverse plane. The fibers and the matrix are isotropic and elastic-brittle, which allows a parametrization of a wide range of composites in terms of a stiffness ratio and a strain-to-failure ratio. The analysis is carried out numerically using very fine two-dimensional spring networks permitting simulation of the crack initiation and propagation by sequentially removing bonds which exceed a local fracture criterion. Particular attention is given to the effects of scale and geometric randomness in these composites. We consider several `windows of observation' (scales) and study crack patterns, types of constitutive responses, and statistics of the corresponding scale dependent effective elastic stiffness and strength of such composites.

Original languageEnglish (US)
Title of host publicationComposites and Functionally Graded Materials
EditorsW.S. Chang, A. Gopinath, S.S. Sadhal, E.H. Trinh, C.J. Kim, al et al
PublisherASME
Pages365-371
Number of pages7
Volume80
StatePublished - 1997
Externally publishedYes
EventProceedings of the 1997 ASME International Mechanical Engineering Congress and Exposition - Dallas, TX, USA
Duration: Nov 16 1997Nov 21 1997

Other

OtherProceedings of the 1997 ASME International Mechanical Engineering Congress and Exposition
CityDallas, TX, USA
Period11/16/9711/21/97

Fingerprint

Statistics
Composite materials
Fibers
Stiffness
Cracks
Crack initiation
Crack propagation

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Starzewski, M. O., Alzebdeh, K., & Jasiuk, I. M. (1997). Statistics of strength of elastic-brittle composite materials. In W. S. Chang, A. Gopinath, S. S. Sadhal, E. H. Trinh, C. J. Kim, & A. et al (Eds.), Composites and Functionally Graded Materials (Vol. 80, pp. 365-371). ASME.

Statistics of strength of elastic-brittle composite materials. / Starzewski, Martin Ostoja; Alzebdeh, K.; Jasiuk, Iwona M.

Composites and Functionally Graded Materials. ed. / W.S. Chang; A. Gopinath; S.S. Sadhal; E.H. Trinh; C.J. Kim; al et al. Vol. 80 ASME, 1997. p. 365-371.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Starzewski, MO, Alzebdeh, K & Jasiuk, IM 1997, Statistics of strength of elastic-brittle composite materials. in WS Chang, A Gopinath, SS Sadhal, EH Trinh, CJ Kim & A et al (eds), Composites and Functionally Graded Materials. vol. 80, ASME, pp. 365-371, Proceedings of the 1997 ASME International Mechanical Engineering Congress and Exposition, Dallas, TX, USA, 11/16/97.
Starzewski MO, Alzebdeh K, Jasiuk IM. Statistics of strength of elastic-brittle composite materials. In Chang WS, Gopinath A, Sadhal SS, Trinh EH, Kim CJ, et al A, editors, Composites and Functionally Graded Materials. Vol. 80. ASME. 1997. p. 365-371
Starzewski, Martin Ostoja ; Alzebdeh, K. ; Jasiuk, Iwona M. / Statistics of strength of elastic-brittle composite materials. Composites and Functionally Graded Materials. editor / W.S. Chang ; A. Gopinath ; S.S. Sadhal ; E.H. Trinh ; C.J. Kim ; al et al. Vol. 80 ASME, 1997. pp. 365-371
@inproceedings{876ebcd5bbb94ef08b32894be734783f,
title = "Statistics of strength of elastic-brittle composite materials",
abstract = "We study crack patterns and effective stress-strain response in unidirectional fiber-matrix composites subjected to out-of-plane and in-plane loading. The fibers are aligned in the longitudinal direction and arranged randomly, with no overlap, in the transverse plane. The fibers and the matrix are isotropic and elastic-brittle, which allows a parametrization of a wide range of composites in terms of a stiffness ratio and a strain-to-failure ratio. The analysis is carried out numerically using very fine two-dimensional spring networks permitting simulation of the crack initiation and propagation by sequentially removing bonds which exceed a local fracture criterion. Particular attention is given to the effects of scale and geometric randomness in these composites. We consider several `windows of observation' (scales) and study crack patterns, types of constitutive responses, and statistics of the corresponding scale dependent effective elastic stiffness and strength of such composites.",
author = "Starzewski, {Martin Ostoja} and K. Alzebdeh and Jasiuk, {Iwona M}",
year = "1997",
language = "English (US)",
volume = "80",
pages = "365--371",
editor = "W.S. Chang and A. Gopinath and S.S. Sadhal and E.H. Trinh and C.J. Kim and {et al}, al",
booktitle = "Composites and Functionally Graded Materials",
publisher = "ASME",

}

TY - GEN

T1 - Statistics of strength of elastic-brittle composite materials

AU - Starzewski, Martin Ostoja

AU - Alzebdeh, K.

AU - Jasiuk, Iwona M

PY - 1997

Y1 - 1997

N2 - We study crack patterns and effective stress-strain response in unidirectional fiber-matrix composites subjected to out-of-plane and in-plane loading. The fibers are aligned in the longitudinal direction and arranged randomly, with no overlap, in the transverse plane. The fibers and the matrix are isotropic and elastic-brittle, which allows a parametrization of a wide range of composites in terms of a stiffness ratio and a strain-to-failure ratio. The analysis is carried out numerically using very fine two-dimensional spring networks permitting simulation of the crack initiation and propagation by sequentially removing bonds which exceed a local fracture criterion. Particular attention is given to the effects of scale and geometric randomness in these composites. We consider several `windows of observation' (scales) and study crack patterns, types of constitutive responses, and statistics of the corresponding scale dependent effective elastic stiffness and strength of such composites.

AB - We study crack patterns and effective stress-strain response in unidirectional fiber-matrix composites subjected to out-of-plane and in-plane loading. The fibers are aligned in the longitudinal direction and arranged randomly, with no overlap, in the transverse plane. The fibers and the matrix are isotropic and elastic-brittle, which allows a parametrization of a wide range of composites in terms of a stiffness ratio and a strain-to-failure ratio. The analysis is carried out numerically using very fine two-dimensional spring networks permitting simulation of the crack initiation and propagation by sequentially removing bonds which exceed a local fracture criterion. Particular attention is given to the effects of scale and geometric randomness in these composites. We consider several `windows of observation' (scales) and study crack patterns, types of constitutive responses, and statistics of the corresponding scale dependent effective elastic stiffness and strength of such composites.

UR - http://www.scopus.com/inward/record.url?scp=0031382181&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031382181&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0031382181

VL - 80

SP - 365

EP - 371

BT - Composites and Functionally Graded Materials

A2 - Chang, W.S.

A2 - Gopinath, A.

A2 - Sadhal, S.S.

A2 - Trinh, E.H.

A2 - Kim, C.J.

A2 - et al, al

PB - ASME

ER -