Abstract
A variational principle that minimizes the errors and noises associated with experimental measurements of two-dimensional non-steady-state temperature fields is investigated. The variational principle also assures the satisfaction of the governing time-developing heat conduction equation. On the basis of the variational principle, an intelligent hybrid experimental-numerical method is formulated and a scheme of calculation is presented. Furthermore, a numerical simulation is illustrated. The present paper is the extension of studies in steady-state temperature fields and is the development of researches in elastic deformation fields, elastic-plastic deformation fields, and the near-field of an interface crack tip.