Efficient implementation algorithm for a homogenized energy model with thermal relaxation

Thomas R. Braun; Ralph C. Smith

doi:10.1117/12.602273

19 May 2005 Efficient implementation algorithm for a homogenized energy model with thermal relaxation

Thomas R. Braun, Ralph C. Smith

Proceedings Volume 5757, Smart Structures and Materials 2005: Modeling, Signal Processing, and Control; (2005) https://doi.org/10.1117/12.602273
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2005, San Diego, California, United States

Abstract

In this paper, we present a new algorithm to implement the homogenized energy hysteresis model with thermal relaxation for both ferroelectric and ferromagnetic materials. The approach conserves most of the accuracy of the original algorithm, but enables all erfc and exp functions to be calculated in advance, thereby requiring that only basic mathematical operations be performed in real time. This is done without a signicant increase in memory usage. Using this approach, execution time of the model has been seen to improve by a factor of 70 for some applications, whereas the error only increases by five ten thousandths (0.05%) of the saturation polarization/magnetization. The model with negligible relaxation is also given, as it is used to illustrate some optimizations. Emphasis is placed on the ecient computation of these models, and theoretical development is left to the references.

Citation Download Citation

Thomas R. Braun and Ralph C. Smith "Efficient implementation algorithm for a homogenized energy model with thermal relaxation", Proc. SPIE 5757, Smart Structures and Materials 2005: Modeling, Signal Processing, and Control, (19 May 2005); https://doi.org/10.1117/12.602273

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