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Published June 1987 | public
Journal Article

An analytical study of the localized failure modes of concrete

Ortiz, M. ORCID icon

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.

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.

Additional details

Created:
August 19, 2023
Modified:
October 18, 2023