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

Melnik, R.V.N. and Roberts, A.J.

Computational Science (ICCS-2002), Springer, PMA Sloot, CJK Tan, JJ Dongara, AG Hoekstra (Eds.) Lecture Notes in Computer Science 2330, 490--499, 2002

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 austenitic-martensitic phase transformations upon thermoelectric cooling are presented.

Key words: thermoelectric effects; alloy actuators; discrete models; thermoelectric SMA actuators; invariant sets; dynamic behavior of shape memory alloy materials; phase transformations; centre manifold technique; computer algebra; differential-algebraic systems; multilayered structures.

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