Collisions in shape memory alloys
- verfasst von
- Michel Frémond, Michele Marino, Elisabetta Rocca
- Abstract
We present here a model for instantaneous collisions in a solid made of shape memory alloys (SMA) by means of a predictive theory which is based on the introduction not only of macroscopic velocities and temperature, but also of microscopic velocities responsible of the austenite-martensites phase changes. Assuming time discontinuities for velocities, volume fractions and temperature, and applying the principles of thermodynamics for non-smooth evolutions together with constitutive laws typical of SMA, we end up with a system of nonlinearly coupled elliptic equations for which we prove an existence and uniqueness result in the 2 and 3 D cases. Finally, we also present numerical results for a SMA 2D solid subject to an external percussion by a hammer stroke.
- Organisationseinheit(en)
-
Institut für Kontinuumsmechanik
- Externe Organisation(en)
-
Università degli studi di Roma Tor Vergata
Università degli Studi di Pavia
- Typ
- Artikel
- Journal
- GAMM Mitteilungen
- Band
- 40
- Seiten
- 157-183
- Anzahl der Seiten
- 27
- ISSN
- 0936-7195
- Publikationsdatum
- 16.04.2018
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Allgemeine Materialwissenschaften, Allgemeine Physik und Astronomie, Angewandte Mathematik
- Elektronische Version(en)
-
http://arxiv.org/pdf/1705.11121 (Zugang:
Offen)
https://doi.org/10.1002/gamm.201730002 (Zugang: Geschlossen)
