Accession Number : ADA015049

Title :   Some Theoretical and Practical Aspects of the Method of Fictitious Loads in Plane Elasticity.

Descriptive Note : Technical interim rept. Feb 74-Apr 75,


Personal Author(s) : Guderley,Karl G. ; Thomson,Robert A.

Report Date : JUN 1975

Pagination or Media Count : 112

Abstract : A major part of the report describes an implementation of the method of fictitious loads in problems of plane elasticity. The necessary formulae are compiled and partially rederived, the approximation of the operators in the resulting integral equation is discussed and some simple examples for which the solution is known are carefully examined. The method poses a number of theoretical problems, mainly centered around the degeneracy of the operator that must be inverted. One finds that for cross sections with holes certain revisions of the method must be made. One type of revision is necessary to insure the deformation field is one valued (if one follows a path around a hole). A second one must be made, because for a cross section with holes the assigned tractions usually do not satisfy certain solvability conditions. A third modification serves to remove a degeneracy in an operator for a problem in which solutions do exist.

Descriptors :   *Loads(Forces), *Stresses, *Elastic properties, Deformation, Integral equations, Partial differential equations, Matrices(Mathematics), Vector analysis, Numerical integration

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE