Softening Slip and Size Effect in Bond Fracture

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Title: Softening Slip and Size Effect in Bond Fracture

Author(s): Z. P. Bazant and R. Desmorat

Publication: Special Publication

Volume: 156

Issue:

Appears on pages(s): 11-24

Keywords: bonding; composite materials; damage; fiber reinforced concretes; fibers; fracture properties; Materials Research

Date: 9/1/1995

Abstract:
The size effect caused by post-peak softening in the relation of interface shear stress and slip displacement between a fiber or reinforcing bar and the surrounding matrix was analyzed. The problem was simplified as one- dimensional. It was shown that the post-peak softening leads to localization of slip. The larger the bar or fiber size, the stronger the localization. The size effect in geometrically similar pullout tests of different sizes was found to represent a transition from the case of no size effect for small sizes to the case of a size effect of the same type as in linear elastic fracture mechanics, in which the difference of the pullout stress in the fiber and the residual pullout stress corresponding to the residual interface shear stress is proportional to the inverse square root of bar or fiber size. An analytical expression for the transitional size effect was obtained and was found to approximately agree with the generalized form of the size effect law proposed earlier by Bazant. Measurements of the size effect can be used for identifying the interface properties.