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DESCRIPTION OF THE NEW METHOD
MIXED BOUNDARY VALUE PROBLEMS
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applied arbitrary aspect ratio boundary conditions boundary value problem central estimation circular cracks circular punch circular sector circular segment coefficient complete solution computed crack faces defined derived Discrepancy domain of contact elastic space elementary functions ellipse elliptical punches error evaluated exact solution Example Find formulae gives governing integral equation Green's functions harmonic integral representation integration with respect interaction isotropic elastic half-space Kalker linear algebraic mathematical mean value theorem method mixed boundary value normal displacement notation obtained order of integration p e o parameters penny-shaped crack plane z=0 planform polar coordinates polygon potential function potential theory prescribed radius rectangle rhombus shear loading shear traction simplify Smedt solved stress intensity factor Substitution symmetry take the form tangential displacements theorem tilting total force traction distribution transforms transversely isotropic elastic V.I. Fabrikant xxyy yields yyyy