## On the torsionfree, axisymmetric problem of the sphere in elastostatics |

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15 unknowns array associated bn are determined body force field boundary conditions boundary loading boundary stresses bounded closed region Boussinesq-Papkovitch potentials cartesian coordinate Chapter closed regular concentrated load constant CORNELL UNIVERSITY LIBRARY D+-B D+B corresponding defined Definition 2.2 Dirichlet Conditions elastostatics problem equations of equilibrium field equations field F finite number following theorem form 30 function space isotropic regular Legendre polynominal linear combination lying in D-+-B Master of Science meet the Dirichlet number of regular physical components Pn(p point set point singularities polynominals of degree problem of Type region of space region whose boundary regular arc regular region regular surface elements representation rotational symmetry scalar harmonic functions second Boussinesq Solutions Shear Modulus single valued solid sphere sphere subjected spherical coordinates Sternberg and Eubanks stress and displacement stress fields stress functions terms of Boussinesq-Papkovitch Theorems of Elastostatics thesis torsionfree unit vector valued and continuous vanishing stress zonal