Phase transitions in shape memory alloys I: Stability and optimal control
作者:
K.-H. Hoffmann,
J. Sprekels,
期刊:
Numerical Functional Analysis and Optimization
(Taylor Available online 1987)
卷期:
Volume 9,
issue 7-8
页码: 743-760
ISSN:0163-0563
年代: 1987
DOI:10.1080/01630568708816259
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
In this paper a system of partial differential equations is considered that constitutes a one-dimensional model for the dynamics of martensitic phase transitions in Shape Memory alloys. The stability behaviour of the system under distributed heat sources and loads and heat sources at the boundary is investigated. An optimal control problem is formulated which uses loads and heat sources as control variables in order to induce both stress- and temperature-induced phase transitions. The existence of optimal controls is proved.
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