Independent Stress Control in Heterogeneous Systems with Eigenstrains

The algorithm allowing us to study the independent stress control problems in deformable heterogeneous systems with prescribed eigenstrains is considered. The independent stress control means the creation of a desired stress field in the system by eigenstrains in such way that the total deformation...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2014-04, Vol.198 (2), p.166-180
Main Authors: Tuktamyshev, V. S., Lokhov, V. A., Nyashin, Yu. I.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:The algorithm allowing us to study the independent stress control problems in deformable heterogeneous systems with prescribed eigenstrains is considered. The independent stress control means the creation of a desired stress field in the system by eigenstrains in such way that the total deformation in the system remains unchanged. Within the framework of the algorithm, we perform the mathematical formalization of the constraints connected with the distribution of eigenstrains. The existence theorem is proved for the solution of the independent stress control problem under constraints and the procedure of determination of the optimal parameters of eigenstrains is proposed in the case where the indicated solution exists.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-014-1781-7