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A numerical
integration formula for the investigation of the singular
integral of loakimidis for classical crack problems in plane
and antiplane elasticity is developed. The method is based
on a modification of the Gauss-Chebychev quadrature and the
definition of finite part integral having and algebraic
singularity of (– 3/2) at the limits of integration. Once
developed the procedure is applied to the determination of
finite part integrals which have analytical solutions and
the results are compared. Finally the integration formula is
applied to an actual crack problem and the stress intensity
factors are computed and presented.
Keywords:
Singular
Integral, Crack, Isotropic Polynomials, Stress Intensity,
Quadrature
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