p-version large strain finite element formulation and application in elastic-plastic deformation

Computers and Structures

Volumn 65, Issue 5, 1997, Pages 761-765

  Nie, Qingquan ^a   Niu, Qinxiang ^b  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

^b Intergraph Corporation   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; PLASTIC DEFORMATION; POLYNOMIALS; PROBLEM SOLVING; STRAIN; STRESSES;

ELASTIC PLASTIC DEFORMATION; LAGRANGE FORMULATION; LEGENDRE POLYNOMIALS; NEWTON-RAPHSON METHOD;

FINITE ELEMENT METHOD;

EID: 0031336533     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(94)00442-0     Document Type: Article

References (12)

1. M. R. Dorr, The approximation theory for the p-version of the finite element method. SIAM J. Numer. Anal. 21, 1181-1207 (1984).
2. M. R. Dorr, The approximation of solutions of elliptic boundary value problems via the p-version of the finite element method. SIAM J. Numer. Anal. 23, 58-77 (1986).
3. I. Babuska et al., The h-p-version of the finite element method in the plate modeling problem. Commun. Appl. Numer. Meth. 8, 17-26 (1992).
4. M. N. Akhtar et al., A new p-version general plate finite element. Comput. Meth. Appl. Mech. Engng 85, 219-236 (1991).
5. K. S. Surana et al., p-version hierarchical axisymmetric shell element. Comput. Struct. 39, 47-56 (1991).
6. R. M. Sorem et al., p-version plate and curved shell element for geometrically non-linear analysis. Int. J. Numer. Meth. Engng 33, 1638-1701 (1992).
7. E. H. Lee, Elastic-plastic deformation at finite strain. J. Appl. Mech. Trans ASME 36, 1-6 (1969).
8. E. H. Lee, Some comments on elastic-plastic analysis. Int. J. Solids Struct. 17, 859-872 (1981).
9. J. K. Dienes, On the analysis of rotation and stress rate in deforming bodies. Acta Mechanica 32, 217-232 (1979).
10. A. E. Green and P. M. Naghdi, A general theory of an elastic-plastic continuum. Arch. Rational Mech. Anal. 18, 251-281 (1965).
11. K. Washizu, Variational Methods in Elasticity and Plasticity. Pergamon Press, Oxford (1979).
12. B. Szabo and I. Babuska, Introduction to Finite Element Analysis. Unreleased Draft (1978).