Probabilistic Modeling of Concrete Structures

by Masanobu Shinozuka, Prof. of Civ. Engrg.; Dept. of Civ. Engrg. and Engrg. Mech., Columbia Univ., New York, NY,


Serial Information: Journal of the Engineering Mechanics Division, 1972, Vol. 98, Issue 6, Pg. 1433-1451


Document Type: Journal Paper

Abstract: The model is compatible with the finite element analysis and therefore useful in parametric studies involving pertinent strength variables and in analysis and design of concrete structural systems. Specifically, a probabilistic model of spatial variation of concrete strength is considered and the corresponding statistical size effect is analyzed. The same model of concrete strength is also used in a failure analysis: (1) to illustrate the fact that the locations of crack initiation and the minimum load associated with it are statistically different from specimen to specimen; and (2) to reproduce, with the aid of the digital simulation technique, these locations and minimum loads. Finally, a method of digital simulation of multivariate-multidimensional random functions is described, demonstrating its usefulness in a structural concrete problem with the aid of numerical examples.

Subject Headings: Model analysis | Finite element method | Strength of materials | Concrete structures | Failure analysis | Structural models | Structural concrete

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