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Finite volume analysis of nonlinear thermo-mechanical dynamics of shape memory alloys

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Abstract

In this paper, the finite volume method is developed to analyze coupled dynamic problems of nonlinear thermoelasticity. The major focus is given to the description of martensitic phase transformations essential in the modeling of shape memory alloys (SMA). Computational experiments are carried out to study the thermo-mechanical wave interactions in a SMA rod, and a patch. Both mechanically and thermally induced phase transformations, as well as hysteresis effects, in a 1D structure are successfully simulated with the developed methodology. In the 2D case, the main focus is given to square-to-rectangular transformations and examples of martensitic combinations under different mechanical loadings are provided.

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Authors and Affiliations

  1. MCI, Faculty of Science and Engineering, University of Southern Denmark, Sonderborg, 6400, Denmark

    L. X. Wang

  2. Mathematical Modelling and Computational Sciences, Wilfrid Laurier University, 75 University Avenue West, Waterloo, ON, Canada, N2L 3C5

    Roderick V. N. Melnik

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  1. L. X. Wang
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Correspondence to Roderick V. N. Melnik.

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Wang, L.X., Melnik, R.V.N. Finite volume analysis of nonlinear thermo-mechanical dynamics of shape memory alloys. Heat Mass Transfer 43, 535–546 (2007). https://doi.org/10.1007/s00231-006-0129-3

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  • DOI: https://doi.org/10.1007/s00231-006-0129-3

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