On the Stability of a Microstructure Model

Authors

Mihhail Berezovski, Tallinn University of TechnologyFollow
Arkadi Berezovski, Tallinn University of TechnologyFollow

Submitting Campus

Daytona Beach

Department

Mathematics

Document Type

Article

Publication/Presentation Date

2-9-2011

Abstract/Description

The asymptotic stability of solutions of the Mindlin-type microstructure model for solids is analyzed in the paper. It is shown that short waves are asymptotically stable even in the case of a weakly non-convex free energy dependence on microdeformation.

Publication Title

Computational Materials Science

DOI

https://doi.org/10.1016/j.commatsci.2011.01.027

Publisher

Elsevier

Grant or Award Name

Estonian Science Foundation contract No. 7037

Additional Information

Dr. Mihhail Berezovski was not affiliated with Embry-Riddle Aeronautical University at the time this paper was published.

Scholarly Commons Citation

Berezovski, M., & Berezovski, A. (2011). On the Stability of a Microstructure Model. Computational Materials Science, 52(1). https://doi.org/10.1016/j.commatsci.2011.01.027