Abstract

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.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.