A new digital method for three-dimensional stress analysis in elastic media

A New Digital Method for Three-Dimensional Stress Analysis in Elastic Media A new method for three-dimensional stress analysis in elastic media is outlined. According to this approach the problem is formulated purely in terms of conditions prevailing at the bounding surfaces of an elastic body. Stress and displacements on these surfaces, as well as inside the body, are expressed in terms of the superimposed effect of a set of basic solutions having suitable properties. The method is developed in matrix form. Some general properties of the governing matrices are established with a view to developing suitable numerical procedures. The convergence characteristics of two iterative schemes are considered. The paper concludes with observations concerning the generality of the approach.