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Abstrakty
The well-known polar decomposition theorem is analyzed for the case of second-order, singular tensors on R3. A precise analytical and geometric characterization of the split is provided for tensors of rank two and one.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
383--390
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
autor
- E.T.S, Ingenieros Industrials Universidad Politecnica de Madrid, Spain, ignacio.romero@upm.es
Bibliografia
- 1. P. CHADWICK, Continuum Mechanics, Wiley, 1976.
- 2. M. GuRTiN, An introduction to continuum mechanics, Academic Press, 1981.
- 3. R.W. OGDEN, Non-linear elastic deformations, Dover 1984.
- 4. S. S. ANTMAN, Nonlinear problems of elasticity, Springer-Verlag, 1st edition, 1995.
- 5. J. C. SIMO, A finite strain beam formulation. Part I. The three-dimensional dynamic problem, Computer Methods in Applied Mechanics and Engineering, 49, 55-70, 1985.
- 6. J.C. SIMO, D.D. FOX, On a stress resultant geometrically exact shell model. I. Formulation and optimal parametrization, Computer Methods in Applied Mechanics and Engineering, 72, 3, 267-304, 1989.
- 7. K. SHOEMAKE, T. DUFF, Matrix animation and polar decomposition, [in:] Proceedings of the conference on Graphics interface '92, Vancouver, British Columbia, Canada, 258-264, 1992.
- 8. M. BOTSCH, O. SORKINE, On linear variational surface deformation methods, IEEE Transactions on Visualization and Computer Graphics, 14, 1, 213-230, 2008.
- 9. J.B. KUIPERS, Quaternions and rotation sequences, Princeton University Press, Princeton, New Jersey 1999.
- 10. P.O. CIARLET, Mathematical Elasticity, North-Holland, 1988.
- 11. L.A. SEGEL, Mathematics applied to continuum mechanics, Macmillan, 1977.
- 12. M. SILHAVY, The mechanics o,nd thermodynamics of continuous media, Texts and Monographs in Physics, Springer, 1997.
- 13. J.E. MARSDEN, T.S. RATIU, Introduction to Mechanics and Symmetry, Springer-Verlag, New York, 1st edition, 1994.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BATB-0001-0021