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Stress functions are derived for nuclei of strain in a semi-infinite solid, indicating elastic behavior.
Stress functions are given for forty nuclei of strain in the semi-infinite elastic solid. The corresponding stresses have the property that the traction vanishes across the plane boundary of the solid. The nuclei are derived, by processes of superposition, differentiation and integration, from the solution of the elasticity equations for the single force in the interior of the semi-infinite solid.
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Mindlin et al. (1950) studied this question.
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