Finite element analysis of structural instability using an implicit/explicit switching technique

International Journal for Computational Methods in Engineering Science and Mechanics

Volumn 14, Issue 5, 2013, Pages 452-464

  Curiel Sosa, J L ^a   Beg, O A ^b   Murillo, J M Liébana ^c  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

^b SHEFFIELD HALLAM UNIVERSITY   (United Kingdom)

^c UNIVERSITY OF SEVILLE   (Spain)

Author keywords

Finite element method; Implicit explicit; Instability; Structures

Indexed keywords

BUCKLING; ELASTOPLASTICITY; PLASMA STABILITY; STRUCTURE (COMPOSITION);

ARC LENGTH METHOD; BUCKLING PROBLEMS; ELASTIC-PLASTIC; IMPLICIT-EXPLICIT; NUMERICAL RESULTS; SNAP-THROUGH; STRUCTURAL INSTABILITY; SWITCHING TECHNIQUES;

FINITE ELEMENT METHOD;

EID: 84881289853     PISSN: 15502287     EISSN: 15502295     Source Type: Journal    
DOI: 10.1080/15502287.2013.784383     Document Type: Article

References (24)

1. M. Ortiz, J.C. Simo, Analysis of a New Class of Integration Algorithms for Elastoplastic Constitutive Relations, Int. J. Num. Meth. Engng., vol. 23(3), pp. 353-366, 1986.
2. J.C. Simo, T.J.R. Hughes, Computational Inelasticity, Springer-Verlag, New York, 1998.
3. M.Kojic, Stress Integration Procedures for Inelastic Material Models within the Finite ElementMethod, Appl.Mechs. Reviews, vol. 55(4), pp. 389-414, 2002.
4. R. Kannan, Z.J. Wang, A Study of Viscous Flux Formulations for a p- Multigrid SpectralVolume Navier Stokes Solver, Journal of Scientific Computing, vol. 41(2), pp. 165-199, 2009.
5. C. Liang, R. Kannan, Z.J.Wang, A p-multigrid Spectral Difference Method with Explicit and Implicit Smoothers on Unstructured Triangular Grids, Computers and Fluids, vol. 38(2), pp. 254-265, 2009.
6. J.L. Curiel-Sosa, E.A. de Souza Neto, D.R.J. Owen, A Combined Implicit- Explicit Algorithm in Time for Non-linear Finite Element Analysis, Commun. Numer. Meth. Engng, vol. 22, pp. 63-75, 2006.
7. J.L. Curiel-Sosa, Modeling of the Nonlinear Interface in Reinforced Concrete, International Journal for ComputationalMethods in Engineering Science and Mechanics, vol. 11, pp. 157-161, 2010.
8. T.J.R. Hughes, K.S. Pister, R.L. Taylor, Implicit-Explicit Finite Elements in Nonlinear Transient Analysis, Comp. Meths. App. Mechs. Engrg., vol. 17-18 (Part I), pp. 159-182, 1979.
9. C. Farhat, M. Lessoinne, N. Maman,Mixed Explicit/Implicit Time Integration of Coupled Aeroelastic Problems: Three-Field Formulation, Geometric Conservation and Distributed Solution, Int. J. Numer. Meth. Fluids, vol. 21(10), pp. 807-835, 1995.
10. C.A. Felippa, Transverse Critical Points by Penalty Springs, Proceedings of NUMETA, Swansea, M. Nijhoff, ed., Dordrecht, Holland, 1987.
11. Y.T. Feng, D. Peric, D.R.J. Owen, Determination of Travel Directions in Path-Following Methods, Int. J. Math. Comput. Modell., vol. 21(7), pp. 43-59, 1995.
12. Y.T. Feng, D. Peric, D.R.J. Owen, On the Sign of the Determinant of the Structural StiffnessMatrix for Determination of Loading Increment in Arc- Length Algorithms, Commun. Numer. Meth. Engng., vol. 13, pp. 47-49, 1997.
13. Y.T. Feng, D. Peric, D.R.J. Owen,ANewCriterion for Determination of Initial Loading Parameter in Arc-LengthMethods, Computers and Structures, vol. 58(3), pp. 479-485, 1995.
14. E.A. de Souza Neto, Y.T. Feng, On the Determination of the Path Direction for Arc-Length Methods in the Presence of Bifurcations and "Snapbacks, ", Comput. Methods Appl. Mech. Engrg., vol. 179, pp. 81-89, 1999.
15. E.A. de Souza Neto, D. Peric, D.R.J. Owen, Computational Methods for Plasticity: Theory and Applications, Wiley, Chichester, UK, 2008.
16. E.A. de Souza Neto, A Fast, One-Equation Integration Algorithm for the Lemaitre Ductile Damage Model, Commun. Numer. Meth. Engng., vol. 18, pp. 541-554, 2002.
17. T. Belytschko,W.K. Liu, B. Moran, Nonlinear Finite Elements for Continua and Structures, John Wiley and Sons, Chichester, UK, 2001.
18. K.C. Park, Practical Aspects of Numerical Time Integration, Computers and Structures, vol. 7, pp. 343-353, 1977.
19. A. Munjiza, D.R.J. Owen, A.J.L.Crook,AM(M-1K)m ProportionalDamping in Explicit Integration of Dynamic Structural Systems, Int. J. Num. Meth. Engng., vol. 41(7), pp. 1277-1296, 1998.
20. T. Belytschko, T.J.R. Hughes, Computational Methods for Transient Analysis, Elsevier Science B.V., North-Holland, Amsterdam, 2001.
21. B.M. Irons, S. Ahmad, Techniques of Finite Elements, Ellis Horwood Ltd., Chichester, UK, 1980.
22. R.W. Ogden, Large Deformation Isotropic Elasticity - on the Correlation of Theory and Experiment for Incompressible Rubberlike Solids, Proc. R. Soc. Lond. A., vol. 326, pp. 565-584, 1972.
23. J.C. Simo, F. Armero, Geometrically Non-linear Enhanced Strain Mixed Methods and the Method of Incompatible Modes, Int. J. Num. Meth.Engng., vol. 33(7), pp. 1413-1449, 1992.
24. F.M. Andrade Pires, E.A. de Souza Neto, J.L. de la Cuesta Padilla, An Assessment of the Average Nodal Volume Formulation for the Analysis of Nearly Incompressible Solids under Finite Strain, Commun. Numer. Meth. Engng., vol. 20, pp. 569-583, 2004.