Variational Modeling and Finite-Element Simulation of Functional Fatigue in Polycrystalline Shape Memory Alloys

verfasst von
Johanna Waimann, Klaus Hackl, Philipp Junker
Abstract

Based on our previous works, we present the finite-element implementation of an energy-based material model that displays the effect of functional fatigue of shape memory alloys during cyclic loading. The functional degradation is included in our model by taking account of irreversible martensitic volume fractions. Three internal variables are used: reversible and irreversible volume fractions for the crystallographic phases and Euler angles for parametrization of the martensite strain orientation. The evolution of the volume fractions is modeled in a rate-independent manner, whereas a viscous approach is employed for the Euler angles, which account for the materials’ polycrystalline structure. For the case of a cyclically loaded wire, we calibrate our model using experimental data. The calibration serves as input for the simulation of two more complex boundary value problems to demonstrate the functionality of our material model for localized phase transformations.

Externe Organisation(en)
Rheinisch-Westfälische Technische Hochschule Aachen (RWTH)
Ruhr-Universität Bochum
Typ
Artikel
Journal
Journal of Optimization Theory and Applications
Band
184
Seiten
98-124
Anzahl der Seiten
27
ISSN
0022-3239
Publikationsdatum
30.01.2019
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Steuerung und Optimierung, Managementlehre und Operations Resarch, Angewandte Mathematik
Elektronische Version(en)
https://doi.org/10.1007/s10957-019-01476-0 (Zugang: Geschlossen)
 

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