Force at a Point in the Interior of a Semi-Infinite Solid
- 1 May 1936
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 7 (5) , 195-202
- https://doi.org/10.1063/1.1745385
Abstract
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.This publication has 3 references indexed in Scilit:
- General solution of the problem of elastostatics of an 𝑛-dimensional homogeneous isotropic solid in an 𝑛-dimensional spaceBulletin of the American Mathematical Society, 1935
- Der Spannungszustand der durch eine Einzelkraft im Innern beanspruchten HalbscheibeZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1932
- VI.On the concentration of stress in the neighbourhood of a small spherical flaw; and on the propagation of fatigue fractures in “Statistically Isotropic” materialsJournal of Computers in Education, 1926