Diacoptics and Codiacoptics. Two dual mixed methods for analysing elastic structures

Licentiatavhandling, 1967

Two direct methods for analysing elastic structures are presented. The methods are called diacoptics and codiacoptics and they are each other's duals. The prescribed load may consist of external forces, temperature changes and misfits. Forces and deformations are used simultaneously as unknowns in the fundamental equations. The well-known pure deformation and force methods are special cases of the mixed methods diacoptics and codiacoptics, respectively. The number of unknowns in the fundamental equations of a mixed method may be reduced under the number required in each of the pure methods. The solution of the fundamental equations is left factorized which offers computational advantages and facilitates modifications of the solution required by modifications of the given structure.