An Investigation on Axisymmetric Concentrated Load Problems of Elasticity : Applications of solutions with singularities

概要

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The principal object of this paper is to investigate the fundamental properties of solutions with singularities in the theory of elasticity in order to consider its meaning as a concentrated load and possibility of applying it to practical problems, using the stress functions with singularities. The principal results are as follows: (1) The so-called force of a center of dilatation plays an important role in many problems of elasticity. If we appropriately distribute problems are obtained, and it is possible to make clear the meaning of a solution. (2) A hollow elastic sphere with two rigid taper pins inserted is analysed. (3) An exact solution to the problem of a center of dilatation acting at a point inside an elastic half-space is shown. (4) An exact solution to a problem of an indefinitely extended elastic solid subjected to radial forces acting on a finite straight line (a segment of crack subjected to an inner pressure) is shown, and it is compared with the result for an elastic half-space.
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