Analytical Model for Shear Slip of Cracked Concrete

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Abstract
Analytical formulation of constitutive equations for a single crack is made, which relates the shear and normal stresses to the corresponding displacements. The modeling of four basic coefficients involved in the constitutive matrix is discussed, and their constants are identified making use of experimental data available from existing literatures. Numerical simulations indicate that the proposed model can represent essential characteristics of a crack such as nonlinear shear transfer, aggregate interlock, crack dilatancy, and path‐dependence. It is found that off‐diagonal terms in the constitutive matrix characterized by dilatancy ratio and frictional coefficient play an important role in the shear transfer mechanism depending on constraint condition normal to the crack direction. This is regarded as cross‐effect. The proposed model can also satisfactorily predict experimentally obtained results concerning shear‐stress displacement relation andn accompanied compressive normal stress and crack opening.

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