## An integral equation method in plane elasticity |

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### Contents

SECTIONS PAGE | 1 |

THE EXTERIOR PROBLEM | 8 |

CONCLUDING REMARKS AND RECOMMENDATIONS | 20 |

2 other sections not shown

### Common terms and phrases

64 EXACT analytic solutions approximate integration formulas biharmonic function boundary conditions boundary geometry boundary stresses boundary subdivisions CALCULATED AT INTERVAL Cauchy-Riemann conditions circular arc circular disk subjected computed constant source densities coupled integral equations diametrally opposite concentrated elliptic hole subjected exterior problem figure 11 formulas is illustrated Fredholm equations fundamental boundary-value problem harmonic functions Hence integral equation method Interior domains interval center points interval end points Iowa City j-th interval length h line segment matrix ill-conditioning number of boundary number of subdivisions NUMERICAL NUMERICAL numerical results numerical solution numerical technique Numerical values NUMERICAL X EXACT opposite concentrated forces piecewise constant source plane elastostatics problem of plane q|dq rate of change results are presented Simpson's rule simultaneous equations solving source density functions stress components stress concentration stress field stress function x(p Stresses at contour subdivisions per quadrant Symm ref symmetrical Table tangent tions total stress UNIVERSITY OF IOWA VALUES CALCULATED