Hybrid Thermoelastic Analysis of an Unsymmetrically-Loaded Structure containing an Arbitrarily-Shaped Cutout

摘要

The most critical stresses frequently occur at holes or notches, thereby influencing structural integrity. The prevalence of arbitrarily-shaped cutouts in engineering structures makes it necessary to be able to determine the state of stress reliably at and near these discontinuities. The fact that external boundary conditions are often not well known in practice complicates such situations. Unfortunately, theoretical solutions are seldom available for perforated finite geometries, and like numerical methods, they require accurate knowledge of external boundary conditions. On the other hand, traditional purely experimental methods typically do not readily provide the individual components of stress or reliable results close to the edge of a cutout. Acknowledging the above, this paper describes the ability to evaluate the full-field state of stress in an unsymmetrical-loaded finite structure containing an arbitrarily-shaped hole by processing the recorded load induced temperature information with an Airy stress function and imposing the local traction-free conditions discretely. As well as satisfying load equilibrium, the present hybrid-thermoelastic stress analysis (TSA) results agree with those from measured strains and a finite element analysis.