Numerical Model For Vibration Damping Resulting From the First Order Phase Transformations

Fuente: arXiv
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Autori principali: Wang, Linxiang X., Melnik, Roderick V. N.
Natura: Preprint
Pubblicazione: 2007
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author Wang, Linxiang X.
Melnik, Roderick V. N.
author_facet Wang, Linxiang X.
Melnik, Roderick V. N.
contents A numerical model is constructed for modelling macroscale damping effects induced by the first order martensite phase transformations in a shape memory alloy rod. The model is constructed on the basis of the modified Landau-Ginzburg theory that couples nonlinear mechanical and thermal fields. The free energy function for the model is constructed as a double well function at low temperature, such that the external energy can be absorbed during the phase transformation and converted into thermal form. The Chebyshev spectral methods are employed together with backward differentiation for the numerical analysis of the problem. Computational experiments performed for different vibration energies demonstrate the importance of taking into account damping effects induced by phase transformations.
format Preprint
id arxiv_https___arxiv_org_abs_cs_0702172
institution arXiv
publishDate 2007
record_format arxiv
spellingShingle Numerical Model For Vibration Damping Resulting From the First Order Phase Transformations
Wang, Linxiang X.
Melnik, Roderick V. N.
Computational Engineering, Finance, and Science
Numerical Analysis
A numerical model is constructed for modelling macroscale damping effects induced by the first order martensite phase transformations in a shape memory alloy rod. The model is constructed on the basis of the modified Landau-Ginzburg theory that couples nonlinear mechanical and thermal fields. The free energy function for the model is constructed as a double well function at low temperature, such that the external energy can be absorbed during the phase transformation and converted into thermal form. The Chebyshev spectral methods are employed together with backward differentiation for the numerical analysis of the problem. Computational experiments performed for different vibration energies demonstrate the importance of taking into account damping effects induced by phase transformations.
title Numerical Model For Vibration Damping Resulting From the First Order Phase Transformations
topic Computational Engineering, Finance, and Science
Numerical Analysis
url https://arxiv.org/abs/cs/0702172