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THE EXTERIOR PROBLEM
CONCLUDING REMARKS AND RECOMMENDATIONS
2 other sections not shown
analytic solutions Appendix 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 EXACT NUMERICAL EXACT exterior problem Figure 14 formulas is illustrated Fredholm equations fundamental boundary-value problem 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 EXACT NUMERICAL numerical results numerical solution numerical technique Numerical values 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 Stresses at contour subdivisions per quadrant Symm ref symmetrical Table tangent tions total stress UNIVERSITY OF IOWA unknown source densities VALUES CALCULATED