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An analytical study of the localized failure modes of concrete

Ortiz, M. (1987) An analytical study of the localized failure modes of concrete. Mechanics of Materials, 6 (2). pp. 159-174. ISSN 0167-6636. doi:10.1016/0167-6636(87)90006-8. https://resolver.caltech.edu/CaltechAUTHORS:20180104-151213758

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Abstract

A theoretical framework for the analysis of localized failure in concrete is presented. The theory is predicated upon the assumption that discrete failure planes arise as a result of a process of localization of damage. The onset of localized modes is characterized as a bifurcation phenomenon whereby local neighborhoods of the material depart from near-uniform straining in favor of highly localized deformation patterns. Simple bifurcation techniques are discussed which suffice to detect when localization initiates and to determine the geometry of the localized deformation modes. Localization techniques are seen to provide a simple yet effective means of extending the range of applicability of traditional distributed damage models to situations of localized failure. Numerical calculations for biaxial stress paths exhibit a good overall agreement with experimental observations.


Item Type:Article
Related URLs:
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https://doi.org/10.1016/0167-6636(87)90006-8DOIArticle
http://www.sciencedirect.com/science/article/pii/0167663687900068PublisherArticle
ORCID:
AuthorORCID
Ortiz, M.0000-0001-5877-4824
Additional Information:© 1987 Elsevier. Received 27 May 1986; revised version received 13 October 1986 and 2 March 1987 . The calculations described here were performed in the VAX-11/780 of the Computational Mechanics Facility at Brown University. This facility was made possible by grants from the National Science Foundation (Solid Mechanics Program), the General Electric Foundation and the Digital Equipment Corporation.
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NSFUNSPECIFIED
General Electric FoundationUNSPECIFIED
Digital Equipment CorporationUNSPECIFIED
Issue or Number:2
DOI:10.1016/0167-6636(87)90006-8
Record Number:CaltechAUTHORS:20180104-151213758
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180104-151213758
Official Citation:M. Ortiz, An analytical study of the localized failure modes of concrete, In Mechanics of Materials, Volume 6, Issue 2, 1987, Pages 159-174, ISSN 0167-6636, https://doi.org/10.1016/0167-6636(87)90006-8. (http://www.sciencedirect.com/science/article/pii/0167663687900068)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:84103
Collection:CaltechAUTHORS
Deposited By: Lydia Suarez
Deposited On:04 Jan 2018 23:20
Last Modified:15 Nov 2021 20:16

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