Conditions for locking-free elasto-plastic analyses in the Element-Free Galerkin method

Computer Methods in Applied Mechanics and Engineering

Volumn 173, Issue 1-2, 1999, Pages 99-109

  Askes, Harm ^a   De Borst, René ^a   Heeres, Otto ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; FUNCTIONS; GALERKIN METHODS; PROBLEM SOLVING;

ELEMENT-FREE GALERKIN (EFG) METHOD; SHAPE FUNCTIONS;

ELASTOPLASTICITY;

EID: 0032675964     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00259-X     Document Type: Article

References (17)

1. [1] T.J.R. Hughes, The Finite Element Method - Linear Static and Dynamic Finite Element Analysis (Prentice-Hall, London, 1987).
2. [2] R.H. Neal, Finite Elements: Their Design and Performance (Dekker Inc., New York, 1994).
3. [3] P. Krysl and T. Belytschko, Analysis of thin shells by the Element-Free Galerkin method, Int. J. Solids Struct. 33 (1996) 3057-3080.
4. [4] A.E. Groen, Three-dimensional elasto-plastic analysis of soils, Dissertation, Delft University of Technology, 1997.
5. [5] R. de Borst and A.E. Groen, Some observations on element performance in isochoric and dilatant plastic flow, Int. J. Numer. Methods Engrg. 38 (1995) 2887-2906.
6. [6] O.M. Heeres and R. de Borst, Performance of low order triangular elements during plastic flow, Engrg. Comput. 16(1) (1999) 70-87.
7. [7] T.J.R. Hughes, Generalization of selective integration procedures to anisotropic and nonlinear media, Int. J. Numer. Methods Engrg. 15 (1980) 1413-1418.
8. [8] J.C. Simo and M.S. Rifai, A class of mixed assumed strain methods and the method of incompatible modes, Int. J. Numer. Methods Engrg. 29 (1990) 1595-1638.
9. [9] J.C. Nagtegaal, D.M. Parks and J.R. Rice, On numerically accurate finite element solutions in the fully plastic range, Comput. Methods Appl. Mech. Engrg. 4 (1974) 153-177.
10. [10] R. de Borst, Calculation of collapse loads using higher order elements, in: IUTAM Symposium on Deformation and Failure of Granular Materials, pp. 503-513, Rotterdam, 1982. Balkema.
11. [11] T. Belytschko, Y.Y. Lu and L. Gu, Element-free Galerkin methods, Int. J. Numer. Methods Engrg. 37 (1994) 229-256.
12. [12] Y.Y. Lu, T. Belytschko and L. Gu, A new implementation of the element free Galerkin method, Comput. Methods Appl. Mech. Engrg. 113 (1994) 397-414.
13. [13] D. Hegen, An Element-free Galerkin method for crack propagation in brittle materials, Dissertation, Eindhoven University of Technology, 1997.
14. [14] P. Lancaster and K. Salkauskas, Surfaces generated by moving least squares, Math. Comput. 37 (1981) 141-158.
15. [15] D. Hegen, Element-free Galerkin methods in combination with finite element approaches, Comput. Methods Appl. Mech. Engrg. 135 (1996) 143-166.
16. [16] T. Belytschko, Y. Krongauz, D. Organ, M. Fleming and P. Krysl, Meshless methods: an overview and recent developments, Comput. Methods Appl. Mech. Engrg. 139 (1996) 3-47.
17. [17] O.C. Zienkiewicz and R.L. Taylor, The Finite Element Method - Vol. I, 4th edition (McGraw-Hill, Berkshire, 1989).