Theoretical analysis derives the fundamental elasticity solution for an internal point force in a semi-infinite solid, enabling synthesis of diverse strain nuclei solutions.
A solution of the three-dimensional elasticity equations for a homogeneous isotropic solid is given for the case of a concentrated force acting in the interior of a semi-infinite solid. This represents the fundamental solution having a singular point in a solid bounded by a plane. From it may be derived, by a known method of synthesis, the solutions for the semi-infinite solid which correspond to the solutions known as nuclei of strain in the solid of indefinite extent.
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R. D. Mindlin (1936) studied this question.
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