Mixed-enhanced strain method. Part II: Geometrically nonlinear problems

Computers and Structures

Volumn 75, Issue 3, 2000, Pages 251-260

  Kasper, Eric P ^a   L Taylor, Robert ^b  

^a CALIFORNIA POLYTECHNIC STATE UNIVERSITY   (United States)

^b Berkeley   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING (DEFORMATION); COMPRESSIBILITY OF SOLIDS; ELASTICITY; FINITE ELEMENT METHOD; PLASTICITY; STRAIN;

ASSUMED STRAIN; MIXED ENHANCED STRAIN METHOD;

STRUCTURAL ANALYSIS;

EID: 0034165910     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(99)00135-2     Document Type: Article

References (14)

1. Ciarlet P.G. Mathematical elasticity. vol. 1:1988;North-Holland, Amsterdam.
2. Crisfield M.A., Moita G.F., Jelenic G., Lyons P.R. Enahnced lower-order element formulations for large strains. Computational Mechanics. 17:1995;62-73.
3. Glaser S, Armero F. On the formulation of enhanced strain finite elements in finite deformations, Engineering Computations 1996, in press.
4. Korelc J., Wriggers P. Consistent gradient formulation for a stable enhanced strain method for large deformations. Engineering Computations. 13:(1):1996;103-123.
5. Mooney M. A theory of large elastic deformation. J. Appl. Phys. 1:1940;582-592.
6. Ogden R.W. Non-linear elastic deformations. 1984;Ellis Horwood, Chichestor, UK.
7. Reese S., Wriggers P. A finite element method for stability problems in finite elasticity. International Journal of Numerical Methods in Engineering. 38:1995;1171-1200.
8. Simo J.C., Rifai M.S. A class of mixed assumed strain methods and the method of incompatible modes. International Journal of Numerical Methods in Engineering. 29:1990;1595-1638.
9. Simo J.C., Armero F. Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes. International journal of numerical methods in engineering, 33:1992;1413-1449.
10. Simo J.C., Armero F., Taylor R.L. Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems. Computer Methods in Applied Mechanics and Engineering. 110:1993;359-386.
11. Sokolnikoff I.S. Tensor analysis theory and applications to geometry and mechanics of continua. 1964;Wiley, New York.
12. Washizu K. Variational methods in elasticity and plasticity. 3rd ed :1982;Pergamon Press, Oxford.
13. Wriggers P., Reese S. A note on enhanced strain methods for large deformations. Computer Methods in Applied Mechanics and Engineering. 135:1996;201-209.
14. Amero F. On the locking and stability of finite elements in finite deformation plane strain problems. Computers and Structures. 75:2000;261-290.