Details
| Original language | English |
|---|---|
| Pages (from-to) | 98-124 |
| Number of pages | 27 |
| Journal | Journal of Optimization Theory and Applications |
| Volume | 184 |
| Issue number | 1 |
| Publication status | Published - 30 Jan 2019 |
| Externally published | Yes |
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.
Keywords
- Finite-element method, Functional fatigue, Irreversible phase transformation, Shape memory alloys, Variational modeling
ASJC Scopus subject areas
- Mathematics(all)
- Control and Optimization
- Decision Sciences(all)
- Management Science and Operations Research
- Mathematics(all)
- Applied Mathematics
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In: Journal of Optimization Theory and Applications, Vol. 184, No. 1, 30.01.2019, p. 98-124.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Variational Modeling and Finite-Element Simulation of Functional Fatigue in Polycrystalline Shape Memory Alloys
AU - Waimann, Johanna
AU - Hackl, Klaus
AU - Junker, Philipp
N1 - Publisher Copyright: © 2019, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2019/1/30
Y1 - 2019/1/30
N2 - 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.
AB - 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.
KW - Finite-element method
KW - Functional fatigue
KW - Irreversible phase transformation
KW - Shape memory alloys
KW - Variational modeling
UR - http://www.scopus.com/inward/record.url?scp=85077284901&partnerID=8YFLogxK
U2 - 10.1007/s10957-019-01476-0
DO - 10.1007/s10957-019-01476-0
M3 - Article
VL - 184
SP - 98
EP - 124
JO - Journal of Optimization Theory and Applications
JF - Journal of Optimization Theory and Applications
SN - 0022-3239
IS - 1
ER -