Three-dimensional finite inextensional deformation of a beam

International Journal of Non-Linear Mechanics

Volumn 35, Issue 1, 2000, Pages 157-165

  Reismann, Herbert ^a,b  

^a The State University of New York   (United States)

^b NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; EQUATIONS OF MOTION; KINEMATICS; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; THREE DIMENSIONAL;

LOAD MISALIGNMENT; THREE DIMENSIONAL FINITE INEXTENSIONAL DEFORMATION;

DEFORMATION;

EID: 0033720146     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7462(99)00005-0     Document Type: Article

References (9)

1. [1] A.E.H. Love, A Treatise on the Mathematical Theory of Elasticity, Fourth ed., Cambridge University Press, London, 1927 (Chapter XIX).
2. [2] P. Funk, Variations Rechnung und ihre Anwendung in Physik und Technik, Second ed., Springer, Berlin, 1970, p. 343.
3. [3] R. Frisch-Fay, Flexible Bars, Butterworth, London, 1962, (Chapter 6).
4. [4] M. Born, Ausgewählte Abhandlungen, vol. 1, 4-104, Vandenhoeck and Ruprecht, Göttingen, 1963. See also Untersuchungen über die Stabilität der Elastischen Linie in Ebene und Raum, unter verschiedenen Grenzbedingungen, Habilitationsschrift, Georg Augustus Universität zu Göttingen, June 1906.
5. [5] L.D. Landau, E.M. Lifshitz, Theory of Elasticity, Third English ed. (vol. 7 of Course of Theoretical Physics), 68, Pergamon Press, Oxford, 1986.
6. [6] A. Sommerfeld, Mechanics, Lectures on Theoretical Physics, vol. 1, Academic Press, New York, 1952, p. 197.
7. [7] User's Manual, MATH/PC-Library, FORTRAN Subroutines for Mathematical Applications on a Personal Computer, IMSL, Houston, Texas, April 1984.
8. [8] L. Prandtl, Kipperscheinungen, Gesammelte Abhandlungen, Part I, Springer, Berlin, 1961, pp. 10-78 (This is a reprint of a dissertation at Universität München, 1900).
9. [9] G.J. Simitses, An Introduction of the Elastic Stability of Structures, Prentice-Hall, Englewood Cliffs, NJ, 1976, p. 40.