A nonlinear generalization of the Koiter-Sanders-Budiansky bending strain measure

International Journal of Solids and Structures

Volumn 37, Issue 39, 2000, Pages 5517-5528

  Acharya, Amit ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Bending strain; Koiter Sanders Budiansky; Polar decomposition; Shell

Indexed keywords

BENDING (DEFORMATION); DECOMPOSITION; KINEMATICS; NUMERICAL METHODS; SHELLS (STRUCTURES); STRAIN; STRESS ANALYSIS; STRUCTURAL ANALYSIS;

BENDING STRAIN; ELASTIC SHELL THEORY; KOITER-SANDERS-BUDIANSKY BENDING MEASURE; POLAR DECOMPOSITION;

BENDING STRENGTH;

EID: 0033689033     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(99)00231-0     Document Type: Article

References (10)

1. Budiansky, B., 1968. Notes on nonlinear shell theory. Journal of Applied Mechanics, 393-401.
2. Budiansky, B., Sanders, J.L., 1963. On the 'Best' first-order linear shell theory. Progress in Applied Mechanics (The Prager Anniversary Volume), pp. 129-140.
3. Fox, D.D., 1990. A geometrically exact shell theory. Ph.D. Thesis (SUDAM Report No. 90-2), Department of Mechanical Engineering, Stanford University, CA.
4. Hoger A., Carlson D.E. On the derivative of the square root of a tensor and Guo's rate theorems. Journal of Elasticity. 14:1984;329-336.
5. Koiter W.T. A consistent first approximation in the general theory of thin elastic shells. Proceedings of the IUTAM Symposium on the Theory of Thin Shells, North-Holland, Amsterdam :1960;12-33.
6. Koiter W.T. On the nonlinear theory of thin elastic shells, I, II, III. Proceedings of the Koniklijke Nederlandse Akademie van Wetenschappen, Series B, vol. 69, Amsterdam :1966;1-54.
7. Marsden J.E., Hughes T.J.R. Mathematical Foundations of Elasticity. 1994;Dover, New York.
8. Niordson F.I. Shell theory. North-Holland Series in Applied Mathematics and Mechanics. vol. 29:1985;Elsevier Science, New York.
9. Sanders Jr., J.L., 1959. An improved first-approximation theory for thin shells. NASA Technical Report R-24.
10. Sanders J.L. Jr. Nonlinear theories for thin shells. Quarterly of Applied Mathematics. 21:1963;21-36.