There are various engineering applications where it is desired to determine material properties. For example, properties are needed in the development of new functional and composite materials, in non-destructive testing for quality control in manufacturing, and for real-time structural health monitoring. Often it is not possible to measure these properties directly without damaging the samples. However, many properties can be determined inversely using measurements of the sample response to a loading of some type. In this paper, we demonstrate the inverse determination of spatially varying material properties using simulated measurements, finite element modeling, and numerical optimization methods. We consider problems in both heat conduction and linear elasticity. We consider cases where measurements on the interior and boundary are used. The accuracy and efficiency of the inversely determined solution is improved by using accurate sensitivity information provided by the Complex Variable Semi-Analytic Method. The sensitivities also give guidance as to where measurements should be taken on the structure to obtain accurate estimations of the material properties.
展开▼
