An energy extremum principle for local action (Q1261694)

This work describes in terms of the energy the solution of the mixed boundary problem, formulated for the elastic body subjected to prescribed boundary displacements field. The extremum theorems herein proved are particular corollaries of the classical reciprocity theorems. The lower bound theorem gives a quantification of Boussinesq local perturbation principle and a measure of the strain energy related to local action. The theorem applies both for structures and solids.