A variationally consistent generalized variable formulation for enhanced strain finite elements

Communications in Numerical Methods in Engineering

Volumn 16, Issue 3, 2000, Pages 151-163

  Perego, Umberto ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

Enhanced strain elements; Finite element; Generalized variables; Stress calculation

Indexed keywords

EID: 0001768297     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-0887(200003)16:3<151::AID-CNM309>3.0.CO;2-5     Document Type: Article

References (19)

1. Simo JC, Rifai MS. A class of mixed assumed strain methods and the method of incompatible modes. International Journal for Numerical Methods in Engineering 1990; 29:1595-1638.
2. Andelfinger U, Ramm E. Eas-elements for two-dimensional, three-dimensional, plate and shell structures and their equivalence to HR-elements. International Journal for Numerical Methods in Engineering 1993; 36:1311-1337.
3. Reddy BD, Simo JC. Stability and convergence of a class of enhanced strain methods. SIAM Journal of Numerical Analysis 1995; 32:1705-1728.
4. Arunakirinathar K, Reddy BD. Further results for enhanced strain methods with isoparametric elements. Computer Methods in Applied Mechanics and Engineering 1995; 127:127-143.
5. Capsoni A, Corradi L. A mixed finite element model for plane strain elastic-plastic analysis. Part I: Formulation and assessment of the overall behavior. Computer Methods in Applied Mechanics and Engineering 1997; 141:67-79.
6. Capsoni A, Corradi L. A mixed finite element model for plane strain elastic-plastic analysis. Part II: Application to the 4-node bilinear element. Computer Methods in Applied Mechanics and Engineering 1997; 141:81-93.
7. Braess D. Enhanced assumed strain elements and locking in membrane problems. Computer Methods in Applied Mechanics and Engineering 1998; 165:155-174.
8. Romano G, Marotti de Sciarra F, Diaco M. An analysis of enhanced strain methods. In: Proceedings of the XI It. Conference on Computational Mechanics 1998; 137-140.
9. Corradi L. On compatible finite element models for elastic plastic analysis. Meccanica 1978; 13:133-150.
10. Corradi L. A displacement formulation for the finite element elastic-plastic problem. Meccanica 1983; 18:77-91.
11. Comi C, Maier G, Perego U. Generalized variable finite element modelling and extremum theorems in stepwise holonomic elastoplasticity with internal variables. Computer Methods in Applied Mechanics and Engineering 1992; 96:213-237.
12. Comi C, Perego U. A unified approach for variationally consistent finite elements in elastoplasticity. Computer Methods in Applied Mechanics and Engineering 1995; 121:323-344.
13. Prager W. The general theory of limit design. In: Proceedings of the 8th International Conference on Applied Mechanics. Vol. 2, Instanbul, 1952; 65-72.
14. Zienkiewicz OC, Taylor RL. The Finite Element Method. McGraw-Hill: New York, 1989.
15. Pian THH, Sumihara H. Rational approach for assumed stress finite elements, International Journal for Numerical Methods in Engineering 1984; 20:1685-1695.
16. Corradi L. On stress computation in displacement finite clement models. Computer Methods in Applied Mechanics and Engineering 1986; 54:325-339.
17. Argyris JH. Continua and discontinua. In: Proceedings of the first Conference on Matrix Methods in Structural Mechanics, Dayton, 1966; 66-88.
18. Hughes TJR. Generalization of selective integration procedures to anisotropic and nonlinear media. International Journal for Numerical Methods in Engineering, 1980; 15:1413-1418.
19. Simo JC, Hughes TJR. On the variational foundation of assumed strain methods. ASME Journal of Applied Mechanics 1986; 48:51-54.