Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 124-138 |
| Seitenumfang | 15 |
| Fachzeitschrift | Shape Memory and Superelasticity |
| Jahrgang | 3 |
| Ausgabenummer | 2 |
| Publikationsstatus | Veröffentlicht - 8 Mai 2017 |
Abstract
The phenomenon of functional fatigue occurs during cyclic loading of pseudoelastic shape memory alloys. We model this effect by considering an irreversible martensitic volume fraction in addition to the reversible amounts of austenite and martensite based on variational principles. The inclusion of irreversible martensitic volume fractions coincides with experimental observations and enables the model to be easily calibrated without any fitting functions. In our previous studies, we modeled the polycrystalline material structure by static discretization of a relatively large number of randomly chosen grain orientations, which required much numerical effort. In contrast, we now apply a dynamic representation of the orientation distribution function to the modeling of functional fatigue which has proven to be beneficial regarding the numerical performance. To this end, we take into account an averaged grain orientation parameterized by three Euler angles that serve as additional internal variables. This results in an extremely reduced numerical effort. The model derivation is given along with the numerical implementation and computer experiments on the cyclic behavior of shape memory alloys.
ASJC Scopus Sachgebiete
- Ingenieurwesen (insg.)
- Werkstoffmechanik
- Werkstoffwissenschaften (insg.)
- Allgemeine Materialwissenschaften
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in: Shape Memory and Superelasticity, Jahrgang 3, Nr. 2, 08.05.2017, S. 124-138.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Modeling the cyclic behavior of shape memory alloys
AU - Waimann, Johanna
AU - Junker, Philipp
AU - Hackl, Klaus
N1 - Publisher Copyright: © 2017, ASM International.
PY - 2017/5/8
Y1 - 2017/5/8
N2 - The phenomenon of functional fatigue occurs during cyclic loading of pseudoelastic shape memory alloys. We model this effect by considering an irreversible martensitic volume fraction in addition to the reversible amounts of austenite and martensite based on variational principles. The inclusion of irreversible martensitic volume fractions coincides with experimental observations and enables the model to be easily calibrated without any fitting functions. In our previous studies, we modeled the polycrystalline material structure by static discretization of a relatively large number of randomly chosen grain orientations, which required much numerical effort. In contrast, we now apply a dynamic representation of the orientation distribution function to the modeling of functional fatigue which has proven to be beneficial regarding the numerical performance. To this end, we take into account an averaged grain orientation parameterized by three Euler angles that serve as additional internal variables. This results in an extremely reduced numerical effort. The model derivation is given along with the numerical implementation and computer experiments on the cyclic behavior of shape memory alloys.
AB - The phenomenon of functional fatigue occurs during cyclic loading of pseudoelastic shape memory alloys. We model this effect by considering an irreversible martensitic volume fraction in addition to the reversible amounts of austenite and martensite based on variational principles. The inclusion of irreversible martensitic volume fractions coincides with experimental observations and enables the model to be easily calibrated without any fitting functions. In our previous studies, we modeled the polycrystalline material structure by static discretization of a relatively large number of randomly chosen grain orientations, which required much numerical effort. In contrast, we now apply a dynamic representation of the orientation distribution function to the modeling of functional fatigue which has proven to be beneficial regarding the numerical performance. To this end, we take into account an averaged grain orientation parameterized by three Euler angles that serve as additional internal variables. This results in an extremely reduced numerical effort. The model derivation is given along with the numerical implementation and computer experiments on the cyclic behavior of shape memory alloys.
KW - Functional fatigue
KW - Irreversible phase transformation
KW - Orientation distribution function
KW - Shape memory alloys
UR - http://www.scopus.com/inward/record.url?scp=85050982049&partnerID=8YFLogxK
U2 - 10.1007/s40830-017-0105-4
DO - 10.1007/s40830-017-0105-4
M3 - Article
VL - 3
SP - 124
EP - 138
JO - Shape Memory and Superelasticity
JF - Shape Memory and Superelasticity
SN - 2199-384X
IS - 2
ER -