Study of the method of independent deformation control by eigenstrain in discretized systems

Authors

  • Vadim Saitzianovich Tuktamyshev Perm State National Research Polytechnical University
  • Valery Aleksandrovich Lokhov Perm State National Research Polytechnical University
  • Yuriy Ivanovich Nyashin Perm State National Research Polytechnical University

DOI:

https://doi.org/10.7242/1999-6691/2011.4.3.32

Keywords:

eigenstrain, decomposition, independent deformation control

Abstract

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References

Reissner H. Eigenspannungen und Eigenspannungsquellen // ZAMM. - 1931. - V. 11, N. 1. - P. 1-8.
Mura T. Micromechanics of defects in solids, 2nd ed. - Dordrecht: Kluwer, 1991. - 601 p.
Nyashin Y., Lokhov V., Ziegler F. Decomposition method in linear elastic problems with eigenstrain // ZAMM. - 2005. - V. 85, N. 8. - P. 557-570. DOI
Irschik H., Ziegler F. Eigenstrain without stress and static shape control of structures // AIAA J. - 2001. - V. 39, N. 10. - P. 1985-1999. DOI
Zaremba S. Sur le principle de’minimum // Bull. Intern. l’Acad. d. Sciences de Cracovie. Cl. des sciences math. et natur. - 1909. - N. 7. - P. 197-264.
Mihlin S.G. Variacionnye metody v matematiceskoj fizike. - M.: Nauka, 1970. - 512 c.
Rafalski P. Orthogonal projection method. II. Thermoelastic problem // Bull. Acad. Polon. Sci. Ser. Sci. Tech. - 1969. - V. 17, N. 2. - P. 69-74.
Sokolov A.G, Struzanov V.V. Ob odnoj zadace optimizacii naprazennogo sostoania v uprugom tele // Prikl. mat. i mehanika. - 2001. - T. 65, No 2. - S. 317-323.
Nyashin Y., Kiryukhin V. Biological stresses in living tissues. The modeling and control problems // Russian Journal of Biomechanics. - 2002. - V. 6, N. 3. - P. 13-31.
Trenogin V.A. Funkcional’nyj analiz. - M.: Fizmatlit, 2002. - 488 s.
Tuktamysev V.S., Lohov V.A. Metod nezavisimogo upravlenia mehaniceskimi naprazeniami v deformiruemyh sistemah // Meh. kompoz. mater. i konstr. - 2008. - T. 14, No 2. - S. 269-281.
Zenkevic O. Metod konecnyh elementov v tehnike // Pod red. B.E. Pobedri. - M.: Mir, 1975. - 541 s.
Mezon U. P’ezoelektriceskie kristally i ih primenenia v ul’traakustike // Pod red. A.V. Subnikova. - M.: Izd. inostr. liter, 1952. - 450 s.
Voevodin V.V., Kuznecov U.A. Matricy i vycislenia. - M.: Nauka, 1984. - 318 s.

Published

2011-12-01

Issue

Section

Articles

How to Cite

Tuktamyshev, V. S., Lokhov, V. A., & Nyashin, Y. I. (2011). Study of the method of independent deformation control by eigenstrain in discretized systems. Computational Continuum Mechanics, 4(3), 110-119. https://doi.org/10.7242/1999-6691/2011.4.3.32