Analysis of crack propagation in concrete structures by Markov chain model and R-curve method

Yunping Xi*, Zdenek P. Bazant

*Corresponding author for this work

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

2 Scopus citations

Abstract

Due to the random nature of material properties, crack growth is a random process. A probabilistic model for randomness of the progressive crack growth in a quasibrittle material such as concrete is presented. The model consists of a Markov chain adapted to R-curve fracture behavior. The method is useful particularly for concrete structures with existing major cracks. The R-curve serves as the mean curve for the fracture process. The R-curve under monotonic loading is obtained from the given test data on the effect of structural sizes. The standard deviation of the mean curve is predicted from the standard deviation of the load carrying capacity of specimens. The parameter estimation method is formulated and applications to existing structures are illustrated.

Original languageEnglish (US)
Title of host publicationProbabilistic Mechanics and Structural and Geotechnical Reliability, Proceedings of the Specialty Conference
PublisherASCE
Pages358-361
Number of pages4
StatePublished - Jan 1 1996
EventProceedings of the 1996 7th Specialty Conference on Probabilistic Mechanics and Structural Reliability - Worcester, MA, USA
Duration: Aug 7 1996Aug 9 1996

Other

OtherProceedings of the 1996 7th Specialty Conference on Probabilistic Mechanics and Structural Reliability
CityWorcester, MA, USA
Period8/7/968/9/96

ASJC Scopus subject areas

  • Engineering(all)

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