On the applicability of the relations of the cubic Timoshenko-type theory of shells to the study of the postcritical behavior of rods

International Applied Mechanics

Volumn 37, Issue 1, 2001, Pages 99-106

  Babich, I Yu ^a   Zhukova, N B ^a   Semenyuk, N P ^a  

^a S P TIMOSHENKO INSTITUTE OF MECHANICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035535426     PISSN: 10637095     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011320432038     Document Type: Article

References (8)

1. 1. I. Yu. Babich, "Analysis of three-dimensional and applied formulations in the theory of stability of rods made of composites," Prikl. Mekh., 25, No. 2, 7-12 (1989).
2. 2. N. B. Zhukova and N. P. Semenyuk, "The Timoshenko-type theory in a cubic approximation with application to the problem on the initial postcritical behavior of composite shells," Prikl. Mekh., 28, No. 10, 41-46 (1992).
3. 3. N. P. Semenyuk and N. B. Zhukova, "The accuracy of the nonlinear relations of the Timoshenko-type theory of shells with lateral compression neglected," Prikl. Mekh., 26, No. 10, 30-36 (1990).
4. 4. S. P. Timoshenko, Stability of Elastic Systems [in Russian], Gostekhizdat, Moscow-Leningrad (1946).
5. 5. B. Budiansky, "Theory of buckling and post-buckling behavior of elastic structure," Adv. Appl. Mech., 14, 2-65 (1974).
6. 6. Ya. M. Grigorenko, Ya. G. Savula, and I. S. Mukha, "Linear and nonlinear problems on the elastic deformation of complex shells and methods of their numerical solution," Int. Appl. Mech., 36, No. 8, 979-1000 (2000).
7. 7. I. Yu. Khoma, "Some nonlinear relations of the mathematical theory of nonthin shells," Int. Appl. Mech., 36, No. 8, 1077-1087 (2000).
8. 8. W. T. Koiter, "Elastic stability and post-buckling behavior," in: Proc. Symp. Nonlinear Problems, Univ. Wisconsin Press, Madison (1963), pp. 257-275.