Drying shrinkage stresses in concrete patch repair systems

Abstract

This paper proposes an approach to prediction of the build-up ofstresses due to drying shrinkage in concrete patch repair systems. The technique suggested consists of a twofold sequential approach, requiring the solution of the moisture diffusion equation followed by execution of an appropriate stress analysis program. Solution of the nonlinear moisture diffusion problem is obtained conveniently through a finite element formulation, which outputs the variation ofmoisture content in time and space. Inasmuch as drying shrinkage occurs by virtue of loss ofmoisture, a phenomenological relationship between moisture loss and free shrinkage strain is established and used to convert the finite element output of moisture loss to the free shrinkage strain. Time- and space-dependent values offree shrinkage strain are then fed as input to an appropriate stress analysis program, conceptually similar to a thermal stress analysis program, with the resulting output yielding the stress build-up in the patch repair system due to drying shrinkage. The influence of repair layer variables including the diffusivity Kc. ultimate free shrinkage strain fsh and modulus ofelasticity Er on the build-up ofdrying shrinkage stress is highlighted.