An implicit/explicit integration scheme to increase computability of non-linear material and contact/friction problems

Computer Methods in Applied Mechanics and Engineering

Volumn 197, Issue 21-24, 2008, Pages 1865-1889

  Oliver, J ^a   Huespe, A E ^b   Cante, J C ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b Facultad de Ciencias Naturales e Instituto M Lillo   (Argentina)

Author keywords

Computability; Constitutive models integration; Contact friction; Continuum damage; Elasto plasticity; Implicit explicit schemes; Robustness

Indexed keywords

COMPUTER SIMULATION; CONSTITUTIVE MODELS; CONTINUUM DAMAGE MECHANICS; ELASTOPLASTICITY; FRICTION;

ADAPTIVE TIME STEPPING ALGORITHM; IMPLICIT EXPLICIT SHEMES;

INTEGRATION;

COMPUTER SIMULATION; CONSTITUTIVE MODELS; CONTINUUM DAMAGE MECHANICS; ELASTOPLASTICITY; FRICTION; INTEGRATION;

EID: 40449135653     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2007.11.027     Document Type: Article

References (31)

1. Lubliner J. Plasticity Theory (1990), Mcmillan Publishing Company
2. Simo J.C., and Hughes T.J.R. Computational Inelasticity (1998), Springer
3. Oliver J., Huespe A.E., Blanco S., and Linero D.L. Stability and robustness issues in numerical modeling of material failure in the strong discontinuity approach. Comput. Methods Appl. Mech. Engrg. 195 (2006) 7093-7114
4. J. Oliver, Topics on failure mechanics, International Center for Numerical Methods in Engineering (CIMNE) Monograph no. 68, 2002.
5. Oliver J., Huespe A.E., Samaniego E., and Chaves E.W.V. Continuum approach to the numerical simulation of material failure in concrete. Int. J. Numer. Anal. Methods Geomech. 28 (2004) 609-632
6. Simo J.C., and Ju J.W. Stress and strain based continuum damage models: I. Formulation. Int. J. Solids Struct. 15 (1987) 821-840
7. Ortiz M., and Popov E.P. Accuracy and stability of integration algorithms for elastoplastic constitutive relations. Int. J Numer. Methods Engrg. 21 (1985) 1561-1576
8. Simo J.C., and Govindjee S. Nonlinear B-stability and symmetry preserving return mapping algorithms for plasticity and viscoplasticity. Int. J. Numer. Methods Engrg. 31 (1991) 151-176
9. Belytschko T., and Mish K. Computability in non-linear solid mechanics. Int. J. Numer. Methods Engrg. 52 (2001) 3-21
10. Crisfield M.A. Non-linear Finite Element Analysis of Solids and Structures. Advanced Topics vol. 2 (1998), John Wiley & Sons
11. Oliver J. Modelling strong discontinuities in solid mechanics via strain softening constitutive equations. 1. Fundamentals. Int. J. Numer. Methods Engrg. 39 (1996) 3575-3600
12. Armero F., and Garikipati K. An analysis of strong discontinuities in multiplicative finite strain plasticity and their relation with the numerical simulation of strain localization in solids. Int. J. Solids Struct. 33 (1996) 2863-2885
13. Oliver J., and Huespe A.E. Theoretical and computational issues in modelling material failure in strong discontinuity scenarios. Comput. Methods Appl. Mech. Engrg. 193 (2004) 2987-3014
14. Oliver J. On the discrete constitutive models induced by strong discontinuity kinematics and continuum constitutive equations. Int. J. Solids Struct. 37 (2000) 7207-7229
15. Belytschko T., Moes N., Usui S., and Parimi C. Arbitrary discontinuities in finite elements. Int. J. Numer. Methods Engrg. 50 (2001) 993-1013
16. Sancho J.M., Planas J., Cendón D.A., Reyes E., and Gálvez J.C. An embedded crack model for finite element analysis of concrete fracture. Engrg. Fract. Mech. 74 (2007) 75-86
17. Oliver J., Oller S., and Cante J.C. A plasticity model for simulation of industrial powder compaction processes. Int. J. Solids Struct. 33 (1996) 3161-3178
18. Vijalapura P.K., Strain J., and Govindjee S. Fractional step methods for index-1 differential algebraic equations. J. Comput. Phys. 203 (2005) 305-320
19. Armero F., and Simo J.C. A new unconditionally stable fractional step method for non-linear coupled thermomechanical problems. Int. J. Numer. Methods Engrg. 35 (2005) 737-776
20. Blasco J., Codina R., and Huerta A. A fractional-step method for the incompressible Navier-Stokes equations related to a predictor-multicorrector algorithm. Int. J. Numer. Methods Fluids 28 (1998) 1391-1419
21. Hughes T.J.R. The Finite Element Method (1987), Prentice-Hall, Englewood Cliffs, NJ
22. Belytschko T., Liu W.K., and Moran B. Nonlinear Finite Elements for Continua and Structures (2001), John Wiley & Sons Ltd., New York
23. Rots J.G., and Invernizzi S. Regularized saw-tooth softening. In: Bicanic N., Borst R.D., Mang H., and Meschke G. (Eds). Computational Modelling of Concrete Structures (2003), A.A. Balkema, Liss, The Netherlands 599-617
24. Rots J.G., Invernizzi S., and Belletti B. Saw-tooth softening/stiffening - a stable computational procedure for RC structures. Computers and Concrete 3 (2006) 213-233
25. C. Felippa, Nonlinear finite element methods in notes of course (ASEN 5107), Department of Aerospace Engineering Sciences University of Colorado at Boulder, 2007 (Chapter 18).
26. Wriggers P. Computational Contact Mechanics (2002), Wiley
27. Oliver J., Cante J.C., Weyler R., and Gonzalez C. Particle finite element methods in solid mechanics problems (2007), Springer-Verlag pp. 87-104
28. A.W.A. Konter, Advanced finite element contact benchmarks, Netherlands Institute for Metals Research FENET-UNOTT-DLE-09, 2005.
29. Hertz H. Ueber die Beruehrung fester elastische Koerper. J. Reine Angew. Math. 92 (1881) 156-171
30. Oliver J., Linero D.L., Huespe A.E., and Manzoli O.L. Two-dimensional modeling of material failure in reinforced concrete by means of a continuum strong discontinuity approach. Comput. Methods Appl. Mech. and Engrg. 197 (2008) 332-348
31. P.J. Sánchez, A.E. Huespe, J. Oliver, On some topics for the numerical simulation of ductile fracture, International Journal of Plasticity, in press, available online, 2007.