journal article·1977-10

One-dimensional theories of motion for beams

D. Gamby

Journal of Elasticity· Volume 7· Issue 4
Publisher page

Abstract

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Research context

OpenAlex topics: Composite Structure Analysis and Optimization · Nonlocal and gradient elasticity in micro/nano structures · Numerical methods in engineering

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References (20)

Show source-provided references
1. Green, A. E. and Naghdi, P. M., Non-isothermal theory of rods, plates and shells, Int. J. Solids Structures (1970), 209–244.10.1016/0020-7683(70)90021-1 ↗
2. Antman, S. S., The theory of rods, Handbuch der Physik, Vol. VI/a/2, Springer (1972).
3. Volterra, E., Second approximation of method of internal constraints and its applications, Int. J. Mech. Sci. 3 (1961), 47–67.10.1016/0020-7403(61)90038-8 ↗
4. Mindlin, R. D. and Mac Niven, H. D., Axially Symmetric Waves in Elastic Rods, Journal of Applied Mechanics 27 (1960), 145–151.10.1115/1.3643889 ↗
5. Medick, M. A., One-dimensional theories of wave propagation and vibrations in elastic bars of rectangular cross-section, Journal of Applied Mechanics (1966), 489–495.10.1115/1.3625113 ↗
6. Warner, W. H., The dynamical equations for beams-Developments in Mechanics, Vol. 3 part 2, Proc. of the 9th Midwestern Mechanics Conference, University of Wisconsin (Madison), 16–18 August 1965, edited by Huang, T. C. and Johnson Jr, M. W., Wiley (New York), 1965.
7. Gurtin, M. E., Variational Principles for linear Elastodynamics, Archive for Rational Mechanics and Analysis, 16 (1964), 34–50.10.1007/BF00248489 ↗
8. Gurtin, M. E., The linear theory of elasticity, Handbuch der Physik, Vol. VI/a/2 (Mechanics of Solids II), Springer (1972).10.1007/978-3-642-69567-4_1 ↗
9. Yu, Y. Y., Generalized Hamilton's Principle and variational equation of motion in nonlinear elasticity theory, with application to plate theory, J. Acoust. Soc. Am. 36 (1964), 111–120.10.1121/1.1918921 ↗
10. Nickel, R. E. and Socor, G. A., Convergence of consistently derived Timoshenko beam finite elements, Int. J. for Num. Methods in Eng. 5 (1972), 243–253.10.1002/nme.1620050210 ↗
11. Germain, P., The method of virtual power in continuum mechanics, Part 2: Microstructure, SIAM J. of Applied Math., 25 (1973), 556–575.10.1137/0125053 ↗
12. Germain, P., La méthode des puissances virtuelles en mécanique des milieux continus. Journal de Mécanique, 12 (1973), 235–274.
13. Biot, M. A., Theory of stress-strain relations in anisotropic viscoelasticity and relaxation phenomena, J. of Appl. Phys. 25 (1954), 1385–1391.10.1063/1.1721573 ↗
14. Gamby, D., Sur la propagation d'ondes dans les solides pour des schémas à une dimension, Thèse d'Etat, Université de Poitiers (1975).
15. Gamby, D., Schématisations à une dimension du mouvement des milieux curvilignes, C.R.A.S. Paris Vol. 278 (11 Mars 1974), Série B, p. 437–440.
16. Kreiss, H. O., Über implizite Differenzenmethoden für partielle Differentialgleichungen, Numerische Mathematik 5 (1963), 24–47.10.1007/BF01385876 ↗
17. Medick, M. A., Extensional waves in elastic bars of rectangular cross-section, J. Acoust. Soc. Am. 43 (1968), 152–161.10.1121/1.1910744 ↗
18. Mindlin, R. D. and Mac Niven, H. D., Axially symmetric waves in elastic rods, Journal of Applied Mechanics, 27 (1960), 145–151.10.1115/1.3643889 ↗
19. Leitman, M. J., Variational principles in the linear dynamic theory of viscoelasticity, Quart. Appl. Math. 24 (1966), 37–46.10.1090/qam/197010 ↗
20. Gamby, D., Solution of one-dimensional impact problems, Mech. Res. Comm. 2 (1975), 131–135.10.1016/0093-6413(75)90035-X ↗