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Exact solutions for pure torsion of shape memory alloy circular bars

✍ Scribed by Reza Mirzaeifar; Reginald DesRoches; Arash Yavari

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
695 KB
Volume
42
Category
Article
ISSN
0167-6636

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πŸ“œ SIMILAR VOLUMES

Weak solutions for Falk's model of shape
Weak solutions for Falk's model of shape memory alloys
✍ Toyohiko Aiki πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 154 KB

In this paper we discuss the system of two partial di!erential equations governing the dynamics of phase transitions in shape memory alloys. We consider the one-dimensional model proposed by Falk, in which a term containing a fourth-derivative appears. The main purpose is to show the uniqueness for

Weak solutions for the Falk model system
Weak solutions for the Falk model system of shape memory alloys in energy class
✍ Shuji Yoshikawa πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 168 KB

## Abstract We show the unique global existence of energy class solutions for the Falk model system of shape memory alloys under the general non‐linearity as well as considered in Aiki (__Math. Meth. Appl. Sci.__ 2000; **23**: 299). Our main tools of the proofs are the Strichartz type estimate for