T-Stress in an Orthotropic Strip with a Central Semi-Infinite Crack Loaded Far from the Crack Tip

AbstractExpressions for T-stresses are obtained based on the exact analytical solution of the two-dimensional problem of a strip of orthotropic material with the principal axes of the elasticity tensor directed parallel and perpendicular to its boundaries and a central semi-infinite crack. A balanced system of loads in the form of four independent active loading modes is assumed to be applied sufficiently far from the crack tip. It is shown that for two (antisymmetric) loading modes the T-stresses are equal to zero, and for the other two (symmetric) modes they are determined by one or two parameters composed of the elasticity tensor components. The T-stress dependencies for symmetric loading modes are obtained in the form of double integrals from combinations of elementary functions depending on one of the dimensionless parameters, the second of the dimensionless parameters is included in the expression for the T-stresses of only one of the modes in the form of a multiplicative coefficient.