A B S T R A C T A recently developed pin-loaded single-edge notch bend specimen provides an alternative to the single-edge notch tension specimen commonly used for small-crack growth testing. In this paper, weight functions for pin-loaded single-edge notch bend specimen are derived by using two methods, the classical analytical weight function method and the newly developed numerical weight function complex variable Taylor series expansion method. Excellent agreement between the two methods is achieved. Based on these weight functions, accurate stress intensity factors for two load cases, that is, pin-loading and Dugdale loading, which is required for plasticity-induced crack-closure analysis based on the strip-yield model, are determined.Keywords Green's function; pin loading; PSENB specimen; stress intensity factor; weight function.
N O M E N C L A T U R Ea = crack length from edge of hole to crack tip B = specimen width E = modulus of elasticity f = non-dimensional stress intensity factor K = stress intensity factor m(a/W, x/W) = weight function M i = coefficients of the numerical WCTSE weight function P = force per unit thickness r = radius of semi-circular edge notch, subscript for reference load case S m = polynomial coefficients of crack line stress u = crack opening displacement V = non-dimensional crack mouth displacement W = characteristic length of crack configuration (W = r in this paper) x = Cartesian coordinate β i = coefficients of the analytical weight function γ i = polynomial coefficients of non-dimensional crack mouth displacement for reference load case ν = Poisson's ratio σ = nominal stress or the Dugdale stress σ(x/W) = crack line stress: stress at the prospective crack site in uncracked body
I N T R O D U C T I O NSmall fatigue crack behaviour has been one of the central topics in fatigue crack growth study and small-crack theory based total fatigue life prediction of metallic materials and structures during the past three decades. 1-3 Extensive analytical and experimental investigations on small crack effects have been carried out by many researchers. The most commonly used specimen for small crack growth tests has been the single-edge notch tension specimen (SENT) (Fig. 1a). Recently, a new specimen that has a higher stress concentration factor and can be pin-loaded