抄録
A numerical approach is developed for analysis on random stress field of FRP strengthened CFRP plate under uniaxial tensile load, where the multiple precision arithmetic is applied to reduce instability of numerical scheme. First, a system of differential equations is formulated for describing axial force, shear force and bending moment of CFRP plate, which is directly applied to formulate normal and shear stress of adhesive material between CFRP plate and FRP material. Next, the system of equations is extended to a system of spatially random differential equations by taking into account spatially random variation of thickness of the adhesive material. Finally, numerical simulations are executed for generating sample functions of normal stress as well as shear stress of the adhesive material, where multiple precision arithmetic is applied to numerical simulations. It is clarified that the numerical scheme for calculating stress field of the adhesive material shows significant instability under widely used double precision arithmetic, which indicates that application of the multiple precision arithmetic is undoubtedly needed.
