Abstract
Random property associated with a bonded CFRP plate is theoretically analyzed by the use of a spatially random differential equation. An ordinary differential equation describing an axial force of steel plate as well as a shear force of the CFRP plate is extended to a spatially random differential equation by introducing a random field for describing spatially random behavior of a thickness of adhesive. Its solution is formulated by applying the so-called transfer-matrix method. By applying computer simulations, it is shown that, under the conditions assumed in this study, (i) when the thickness of steel plate is relatively small, the maximum principal stress of bonded part becomes almost certainly maximum at the CFRP plate end, i.e., debonding alomost certainly occurs at the CFRP plate end, (ii) when the thickness of steel plate is relatively small, the scatter of the principal stress becomes maximum at the CFRP plate end and its probability distribution is approximated by Weibull distribution or log-normal distribution and (iii) when the thickness of steel plate is not so small, the probability that debonding occurs at the butt end can not be neglected.
