Computational Models for Materials with Shape Memory: Towards a Systematic Description of Coupled Phenomena

Authors:
Roderick V. N. Melnik;Anthony J. Roberts
Affiliations:
-;-
Venue:
ICCS '02 Proceedings of the International Conference on Computational Science-Part II
Year:
2002

Citing 4
Cited 1

Solution behavior of the transient heat transfer problem in thermoelectric shape memory alloy actuators

SIAM Journal on Applied Mathematics
Generalised solutions, discrete models and energy estimates for a 2D problem of coupled field theory

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Transient heat transfer behavior of one-dimensional symmetric thermoelectric SMA actuators

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Coupling control and human factors in mathematical models of complex systems

Engineering Applications of Artificial Intelligence

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Abstract

In this paper we propose a systematic methodology for improving computational efficiency of models describing the dynamics of materials with memory as part of multilayered structures, in particular in thermoelectric shape memory alloys actuators. The approach, based on a combination of the centre manifold technique and computer algebra, is systematic in a sense that it allows us to derive computational models with arbitrary order of accuracy with respect to certain small parameters. Computational results demonstrating the efficiency of the proposed methodology in reproducing the dynamics of austeniticmartensitic phase transformations upon thermoelectric cooling are presented.