## Stresses at the tip of a longitudinal crack in a plate strip |

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2m+l analysis appendix biharmonic equation central longitudinal crack Clamped longitudinal edges computed convergence cosh 2|h crack faces crack-opening mode crack-tip depend on Poisson's displacement of longitudinal dual integral equations equation 13 equations 22 finite strip width following substitutions form of equations Fourier transform free longitudinal edges identity 23 infinite integral Kp/Koo with h Langley Research Center linear algebraic method of reference normal stress plane strain plane stress plate strip plotted in figure Pm terms Poisson's ratio presented in figure ratio of stress ratio of strip restrained against normal shear problem sinh 2|h stress field stress free stress intensity factors stress on longitudinal strip are free Substitution of equation tangential displacement testing machine grips three of equations transformed boundary conditions uniform bending uniform pressure Uniform shear stress upper half values of h Variation of Kp/Koo width to crack Young's modulus zero normal displacement