High-Speed Parameter Estimation Algorithms For Nonlinear Smart Materials

A fundamental step in the model construction for ferroelectric, ferromagnetic, and ferroelastic materials is the estimation or identification of material parameters given measurements of the material response. Moreover, actuator and/or material properties may be a function of operating conditions which can necessitate the re-estimation of parameters if conditions change significantly. In this paper, we focus on the development of highly robust and efficient identification algorithms for use in industrial, aeronautic and aerospace applications. Following a discussion of present and future applications, we summarize the homogenized energy model used to characterize hysteresis and constitutive nonlinearities in these compounds. We next discuss the parameter estimation problem and detail algorithms used to speed implementation. The validity of the framework is illustrated through comparison with experimental data.