Summary
A typical way of fitting a curve or a surface to experimental data is based on the least squares technique or on a similar mathematical method. If this is possible such a result is usually compared with a theoretical solution.
A new combined approach presented now, uses simultaneously all the information available for the investigated problem, resulting from both the various experimental measurements as well as the theoretical model. In this way only one, i.e. the best“ solution is obtained. It tries to fit best the experimental data and, at the same time, to satisfy, as much as possible, the requirements of the theory involved.
In terms of mathematics, this approach results in constrained optimization of a functional composed of experimental and theoretical parts.
Presented is the general concept of the approach, and its reference to residual stress analysis, done upon strain gauge measurements.
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© 1993 Springer-Verlag Berlin Heidelberg
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Karmowski, W., Orkisz, J. (1993). A Physically Based Method of Enhancement of Experimental Data Concepts, Formulation and Application to Identification of Residual Stresses. In: Tanaka, M., Bui, H.D. (eds) Inverse Problems in Engineering Mechanics. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-52439-4_7
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DOI: https://doi.org/10.1007/978-3-642-52439-4_7
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