A consistent theory of finite stretches and finite rotations, in space-curved beams of arbitrary cross-section

Computational Mechanics

Volumn 27, Issue 4, 2001, Pages 271-281

  Atluri, S N ^a   Iura, M ^b   Vasudevan, S ^c  

^a Department of Materials Sciences and Engineering California NanoSystems Institute Henry Samuli School of Engineering and Applied Science   (United States)

^b TOKYO DENKI UNIVERSITY   (Japan)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; DEFORMATION; KINEMATICS; ROTATION; STRESS ANALYSIS;

LINEAR MOMENTUM BALANCE (LMB);

STRAIN MEASUREMENT;

EID: 0035324333     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660100234     Document Type: Article

References (13)

1. Atluri SN (1979) On Rate Principle For Finite Strain Analysis of Elastic and Inelastic Nonlinear Solids. Recent Research on Mechanical Behavior of Solids. pp. 79-107. University of Tokyo Press
2. Atluri SN (1980) On some new general and complementary energy theorems for the rate problems in finite strain, classical elastoplasticity. J. Struct. Mech. 8: 61-92
3. Atluri SN (1983) Alternate stress and conjugate strain measures, and mixed variational formulations involving rigid rotations, for computational analysis of finitely deformed solids, with application to plates and shell-I Theory. Comput. Struct. 18(1): 93-116
4. Atluri SN, Cazzani A (1995) Rotations in computational solid mechanics. Arch. Compu. Meth. Eng. 2(1): 49-138
5. Cowper GR (1966) The shear coefficient in Timoshenko's beam theory. J. Appl. Mech. 33: 335-340
6. Crisfield MA, Jelenic G (1999) Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation. Proc. R. Soc. Lond. A 455: 1125-1147
7. Kollbrunner CF, Basler K (1969) Torsion in Structures, Springer-Verlag
8. Iura M, Atluri SN (1988) Dynamic analysis of finitely stretched and rotated three-dimensional space-curved beams. Comput. Struct. 29(5): 875-889
9. Iura M, Atluri SN (1989) On a consistent theory, and variational formulation of finitely stretched and rotated 3-D space-curved beams. Comput. Mech. 4: 73-88
10. Ogden RW (1984) Non-linear Elastic Deformations, Ellis Horwood Limited
11. Suetake Y, Iura M, Atluri SN (1999) Shell theories with drilling degrees of freedom and geometrical and material assumptions. Comput. Mod. Simu. Eng. 4(1): 42-49
12. Reissner E (1981) On finite deformations of space-curved beams. J. Appl. Math. Phy. (ZAMP) 32: 734-744
13. Vasudevan S, Atluri SN, Iura M (2000) Space-curved beams undergoing large strains and rotations: Part 2: Complementary energy based finite elements for isotropic and anisotropic beams, (to appear)