The governing equations of a thin elastic stressed beam with a periodic structure

Journal of Applied Mathematics and Mechanics

Volumn 63, Issue 3, 1999, Pages 495-504

  Kolpakov, A G ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033233817     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8928(99)00062-3     Document Type: Article

References (12)

1. Kolpakov, A. G., Calculation of the characteristics of thin elastic rods of periodic structure. Prikl. Mat. Mekh., 1991, 55, 3, 440-448.
2. Kozlova, M. I., Averaging of the three-dimensional problem of the theory of elasticity for a thin non-uniform beam. Vestnik MGU. Ser. 1. Matematika, Mekhanika, 1989, 5, 6-10.
3. Rabotnov, Yu. N., The Mechanics of a Deformable Solid. Nauka, Moscow, 1979.
4. Kolpakov, A. G., The problem of the theory of beams with initial stresses. Zh. Prikl. Mekh. Tekh. Fiz., 1992, 6, 139-144.
5. Kolpakov, A. G., The asymptotic problem of the stability of beams. The loss of stability on bending/twisting. Zh. Prikl. Mekh. Tekh. Fiz., 1995, 6, 133-141.
6. Washizu, K., Variational Methods in Elasticity and Plasticity. Pergamon Press, New York, 1968.
7. Lions, J.-L. and Magenes, E., Problems aux Limites Non-homogenes et Applications. Dunod, Paris, 1968.
8. Annin, B. D., Kalamkarov, A. L., Kolpakov, A. G. and Parton, V. Z., The Analysis and Design of Composite Materials and Structure Elements. Nauka, Novosibirsk, 1993.
9. Kalamkarov, A. L., Kolpakov, A. G., Analysis, Design and Optimization of Composite Structures. John Wiley, Chichester, 1997.
10. Bakhvalov, N. S. and Panasenko, G. P., Averaging Processes in Periodic Media. Nauka, Moscow, 1986.
11. Kolpakov, A. G., The stiffness characteristics of stressed inhomogeneous media. Izv. Akad. Nauk SSSR. MTT, 1989, 3, 66-73
12. Kolpakov, A. G., On the dependence of the velocity of elastic waves in composite media on initial stresses. Comput. Struct. 1992, 44, 1/2, 97-101.