A mixed element method in gradient plasticity for pressure dependent materials and modelling of strain localization

Computer Methods in Applied Mechanics and Engineering

Volumn 144, Issue 3-4, 1997, Pages 287-305

  Li, Xikui ^b   Cescotto, S ^a  

^a UNIVERSITY OF LIÈGE   (Belgium)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; INTEGRATION; ITERATIVE METHODS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; PLASTICITY; POLYNOMIALS; STRAIN HARDENING; STRESSES;

GRADIENT PLASTICITY; MIXED STRAIN ELEMENT METHOD; PRESSURE DEPENDENT MATERIALS; STRAIN LOCALIZATION;

ELASTOPLASTICITY;

EID: 0031139630     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(96)01175-9     Document Type: Article

References (25)

1. Z.P. Bazant, T. Belytschko and T.P. Chang, Continuum theory for strain softening, J. Engrg. Mech. ASCE 110 (1984) 1666-1692.
2. D. Lasry and T. Belytschko, Localization limiters in transient problems, Int. J. Solids Struct. 24 (1988) 581-597.
3. E.C. Aifantis, The physics of plastic deformation, Int. J. Plasticity 3 (1988) 211-247.
4. R. de Borst and H.B. Muhlhaus, Gradient-dependent plasticity: formulation and algorithmic aspects, Int. J. Numer. Methods Engrg. 35 (1992) 521-539.
5. H.B. Muhlhaus, Application of Cosserat theory in numerical solutions of limit load problems, Ingenieur Archiv. 59 (1989) 124-137.
6. A. Needleman, Material rate dependent and mesh sensitivity in localization problems, Comput. Methods Appl. Mech. Engrg. 67 (1988) 69-86.
7. L.J. Sluys, R. de Borst and H.B. Muhlhaus, Wave propagation, localization and dispersion in a gradient-dependent medium, Int. J. Solids Struct. 30 (1993) 1153-1171.
8. X. Li and S. Cescotto, Finite element method for gradient plasticity at large strains, Int. J. Numer. Methods Engrg. 39 (1996) 619-633.
9. S. Cescotto and X. Li, Modelling of strain localization in a large strain context, Int. J. Struct. Engrg. Mech., to appear.
10. X. Li, S. Cescotto and P.G. Duxbury, A mixed strain element method for pressure dependent elastoplasticity at large strain, submitted.
11. X. Li, S. Cescotto and P.G. Duxbury, A mixed strain elastoplastic element in natural stress coordinates, Proc. of 1st Int. Conf. on Engrg. Computation and Computer Simulation, 128-135, Changsha, China, 27-29 Nov. 1995.
12. D.P. Flanagan and T. Belytschko, A uniform strain hexahedron and quadrilateral with orthogonal hourglass control, Int. J. Numer. Methods Engrg. 17 (1981) 679-706.
13. T. Belytschko, J. Ong, W.K. Liu and J.M. Kennedy, Hourglass control in linear and nonlinear problems, Comput. Methods Appl. Mech. Engrg. 43 (1984) 251-276.
14. T. Belytschko and L.P. Bindeman, Assumed strain stablization of the 4-node quadri-lateral with 1-point quadrature for nonlinear problems, Comput. Methods Appl. Mech. Engrg. 88 (1991) 311-340.
15. W.K. Liu, T. Belytschko and J.S. Chen, Nonlinear versions of flexurally superconvergent elements, Comput. Methods Appl. Mech. Engrg. 71 (1988) 241-258.
16. Ph. Jetteur and S. Cescotto, A mixed finite element for the analysis of large inelastic strain, Int. J. Numer. Methods Engrg. 31 (1991) 229-239.
17. P.G. Duxbury and X. Li, Development of elasto-plastic material models in a natural coordinate system, Comput. Methods Appl. Mech. Engrg. 135 (1996) 283-306.
18. X. Li, P.G. Duxbury and P. Lyons, Coupled creep-elastoplastic-damage analysis for isotropic and anisotropic nonlinear materials, Int. J. Solids Struct. 31 (1994) 1181-1206.
19. X. Li, P.G. Duxbury and P. Lyons, Consideration for the application and numerical implementation of strain hardening with the Hoffman yield criterion, Comput. Struct. 52 (1994) 633-644.
20. J.C. Simo and G. Meschke, A new class of algorithm for classical plasticity extended to finite strains. Application to geomaterials, Comput. Mech. 11 (1993) 253-278.
21. X. Li, Large strain constitutive modelling and computation for isotropic creep elastoplastic damage solids, Int. J. Numer. Methods Engrg. 38 (1995) 841-860.
22. H. Hu, Variational Principles of Theory of Elasticity with Applications (Gordon and Breach, Science Publishers, Inc., New York, 1984).
23. O.C. Zienkiewicz and R.L. Taylor, The Finite Element Method, Vol. 1, 4th edition (McGraw-Hill, 1988).
24. O.C. Zienkiewicz and R.L. Taylor, The Finite Element Method, Vol. 2, 4th edition (McGraw-Hill, 1991).
25. M.A. Crisfield, Non-linear finite element analysis of solids and structures, Essentials, Vol. 1 (John Wiley, London, 1991).