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The elastic line spring model is updated to accept arbitrarily distributed loads acting on plates to allow determination of stress-intensity factors of surface cracks under various types of loading, such as thermal stress and residual stress. The governing integral equations are modified, owing to the inclusion of the nonlinear loads. Careful numerical treatment and computer programming can make the analysis very efficient. It has been shown that a 16-point KI-distribution along a crack front can be obtained within 0.025 s (central processing unit) using Cray computer systems, which is at least four orders of magnitude faster than the finite-element analysis of the same problem. The outstanding computational efficiency makes the line spring model practical for many time-dependent fracture analyses in engineering applications.
Cracks with different shapes, namely, semielliptical, part-circular, and triangular cracks are investigated, and the results agree very well with the existing finite-element analysis solutions.
line spring constitutive equations, compliance function, potential energy release rate, weight function, stress-intensity factors, crack shapes, part-through cracks, thermal and residual stresses, singular integral equations, fracture mechanics
Senior engineer, Westinghouse Electric Corp., Nuclear Energy Systems, Pittsburgh, PA