A Multiaxial Stochastic Constitutive Law for Concrete: Part I—Theoretical Development

[+] Author and Article Information
A. Fafitis

Department of Civil Engineering, Arizona State University, Tempe, AZ 85287

Y. H. Won

Department of Civil Engineering, Korea Third Military Academy Kyungbuk, Youngchun-goo 771-849, Korea

J. Appl. Mech 59(2), 283-288 (Jun 01, 1992) (6 pages) doi:10.1115/1.2899518 History: Received August 25, 1988; Revised September 25, 1991; Online March 31, 2008


An incremental three-dimensional constitutive relation for concrete has been developed. The linear anisotropic and path-dependent behavior is modeled by updating the stiffness matrix at each load increment. The material is assumed incrementally elastic and the six elastic moduli E11 , E12 .... E33 are expressed in terms of both the tangential hydrostatic and deviatoric stiffness whereas the three tangential shear moduli are expressed in terms of the deviatoric stiffness only. The hydrostatic and deviatoric stiffness are determined from uniaxial stress-strain relationships by employing the space truss concept. The unaxial stress-strain relationships are in a sense the stress-strain relationships of the members of the truss, and they were based on a rheological stochastic model developed earlier. The predictions of the model compare favorably with experimental data reported by various investigators. Complex loading paths are reproduced with acceptable accuracy as is demonstrated in the second part of this paper.

Copyright © 1992 by The American Society of Mechanical Engineers
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