Plastic-Fracturing Theory for Concrete

by Zdeněk P. Bažant, (M.ASCE), Prof. of Civ. Engrg.; Northwestern Univ. Evanston, Ill.,
Sang-Sik Kim, Grad. Research Asst.; Northwestern Univ., Evanston, Ill.,

Serial Information: Journal of the Engineering Mechanics Division, 1979, Vol. 105, Issue 3, Pg. 407-428

Document Type: Journal Paper


Incremental plasticity and fracturing (microcracking) material theory are combined to obtain a nonlinear triaxial constitutive relation that is incrementally linear. The theory combines the plastic stress decrements with the fracturing stress decrements, which reflect microcracking, and accounts for internal friction, pressure sensitivity, inelastic dilatancy due to microcracking, strain softening, degradation of elastic moduli due to microcracking, and the hydrostatic nonlinearity due to pore collapse. Failure envelopes are obtained from the constitutive law as a collection of the peak points of the stress strain response curves. Six scalar material functions are needed to fully define the monotonic response. One function, the dilatancy due to microcracking, is determined theoretically based on Budianski-O'Connell's calculation of the effective elastic contents of a randomly microcracked elastic material by the self consistent method for composites.

Subject Headings: Cracking | Elastic analysis | Plastics | Concrete | Composite materials | Nonlinear analysis | Constitutive relations | Dilatancy

Services: Buy this book/Buy this article


Return to search