Numerical modeling of softening hinges in thin Euler-Bernoulli beams

Computers and Structures

Volumn 84, Issue 10-11, 2006, Pages 641-656

  Armero, F ^a   Ehrlich, D ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Enhanced finite elements; Euler Bernoulli beams; Localized failures of frames; Softening hinges

Indexed keywords

COMPUTER SIMULATION; DEFORMATION; ENERGY DISSIPATION; FINITE ELEMENT METHOD; KINEMATICS; MATHEMATICAL MODELS;

ENHANCED FINITE ELEMENTS; EULER-BERNOULLI BEAMS; LOCALIZED FAILURES OF FRAMES; SOFTENING HINGES;

HINGES;

EID: 32544456318     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2005.11.010     Document Type: Article

References (38)

1. F. Armero Large-scale modeling of localized dissipative mechanisms in a local continuum: applications to the numerical simulation of strain localization in rate-dependent inelastic solids Mech Cohesive-Frictional Mat 4 1999 101 131
2. F. Armero On the characterization of localized solutions in inelastic solids: an analysis of wave propagation in a softening bar Comp Meth Appl Mech Eng 191 2001 181 213
3. F. Armero, and D. Ehrlich An analysis of strain localization and wave propagation in plastic models of beams at failure Comp Meth Appl Mech Eng 193 2003 3129 3171
4. Z.P. Bazant Instability, ductility, and size effect in strain-softening concrete ASCE J Eng Mech 102 1976 331 344
5. Z.P. Bazant Scaling of structural strength 2002 Hermes Penton Ltd New York
6. Z.P. Bazant Asymptotic matching analysis of scaling structural failure due to softening hinges. I: Theory. II: Implications ASCE J Eng Mech 129 2003 641 650 651-4
7. Z.P. Bazant, J. Pan, and G. Pijaudier-Cabot Softening in reinforced concrete beams and frames ASCE J Struct Eng 113 1987 2333 2347
8. G. Cocchetti, and G. Maier Elastic-plastic and limit-state analyses of frames with softening plasti-hinge models by mathematical programming Int J Solids Struct 40 2003 7219 7244
9. J. Coleman, and E. Spacone Localization issues in force-based frame elements ASCE J Struct Eng 127 2000 1257 1265
10. P.L. Darvall Critical softening of hinges in portal frames ASCE J Struct Eng 110 1984 157 162
11. P.L. Darvall, and P.A. Mendis Elastic-plastic-softening analysis of plane fames ASCE J Struct Eng 111 1984 871 888
12. D. Ehrlich, and F. Armero Finite element methods for the analysis of plastic hinges in beams and frames Comput Mech 35 2005 237 264
13. S. El-Tawil, and G. Deierlein Stress-resultant plasticity for frame structures ASCE J Eng Mech 124 1998 1360 1370
14. S. El-Tawil, and G. Deierlein Nonlinear analysis of mixed steel-concrete frames. I: Element formulation ASCE J Struct Eng 127 2001 647 655
15. S. El-Tawil, and G. Deierlein Nonlinear analysis of mixed steel-concrete frames. II: Implementation and verification ASCE J Struct Eng 127 2001 656 665
16. A. Hillerborg Fracture mechanics concepts applied to moment capacity and rotational capacity of reinforced concrete beams Eng Fract Mech 35 1990 233 240
17. T.J.R. Hughes The finite element method 1987 Prentice-Hall Englewood Cliffs, NJ
18. M. Jirasek Analytical and numerical solutions for frames with softening hinges ASCE J Eng Mech 123 1997 8 14
19. Lane GE. Behavior of reinforced concrete beams under combined axial and lateral loading. Air Force Weapons Laboratory. Kirtland Air Force Base. New Mexico, AFWL-TR-76-130, May 1972.
20. J. Lubliner Plasticity theory 1990 MacMilan Publisher New York
21. G. Maier Instability due to strain softening Stability of continuous systems, Proc. IUTAM symp. 1971 Springer-Verlag Berlin 411 417
22. G. Maier, A. Zavelani, and J.C. Dotreppe Equilibrium branching due to flexural softening ASCE J Eng Mech 99 1973 897 901
23. M.E. Marante, R. Picon, and J. Florez-Lopez Analysis of localization in frame members with plastic hinges Int J Solids Struct 41 2004 3961 3975
24. N. Moës, J. Dolbow, and T. Belytschko A finite element method for crack growth without remeshing Int J Numer Meth Eng 46 1999 131 150
25. N.C. Nigam Yielding in framed structures under dynamic loads ASCE J Eng Mech 96 1970 687 709
26. J. Oliver Modelling strong discontinuities in solid mechanics via strain softening constitutive equations. Part 1: Fundamentals Int J Numer Meth Eng 39 1996 3575 3600
27. J. Oliver Modelling strong discontinuities in solid mechanics via strain softening constitutive equations. Part 2: Numerical simulation Int J Numer Meth Eng 39 1996 3600 3623
28. J.G. Orbison, W. McGuire, and J.F. Abel Yield surface applications in nonlinear steel frame analysis Comp Meth Appl Mech Eng 33 1982 557 573
29. M. Ortiz, and A. Pandolfi Finite deformation irreversible cohesive elements for the three-dimensional crack-propagation analysis Int J Numer Meth Eng 44 1999 1267 1282
30. G.H. Powell, and P.F. Chen 3D beam-column element with generalized plastic hinges ASCE J Eng Mech 112 1986 627 641
31. J.G. Sanjayan, and P.L. Darvall Singularities in RC beam elements with finite-length hinges ASCE J Struct Eng 121 1995 39 47
32. H.L. Schreyer, and Z. Chen The effect of localization on the softening behavior of structural members K.J. Willam Constitutive equations: macro and computational aspects, ASME winter annual meeting, New Orleans, LA 1984 ASME New York 193 203
33. J.C. Simo, and T.J.R. Hughes Computational inelasticity 1998 Springer-Verlag
34. J.C. Simo, J. Oliver, and F. Armero An analysis of strong discontinuities induced by softening solutions in rate independent solids J Comput Mech 12 1993 277 296
35. E. Spacone, and S. El-Tawil Nonlinear analysis of steel-concrete composite structures: state of the art ASCE J Struct Eng 130 2004 159 168
36. I. Stakgold Green's functions and boundary value problems 2nd ed. 1998 John Wiley & Sons New York
37. H. Takizawa, and H. Aoyama Biaxial effects in modeling earthquake response of RC structures Earthquake Eng Struct Dyn 4 1976 523 552
38. G.N. Wells, and L.J. Sluys A new method for modeling cohesive cracks using finite elements Int J Numer Meth Eng 50 2001 2667 2682