A complementarity approach for elastoplastic analysis of strain softening frames under combined bending and axial force

Engineering Structures

Volumn 29, Issue 5, 2007, Pages 742-753

  Tangaramvong, S ^a   Tin Loi, F ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

Complementarity problem; Elastoplastic analysis; Holonomic; Nonholonomic; Strain softening

Indexed keywords

AXIAL LOADS; BENDING (DEFORMATION); ELASTOPLASTICITY; PIECEWISE LINEAR TECHNIQUES;

HOLONOMIC; MIXED COMPLEMENTARITY PROBLEM; STRAIN SOFTENING;

STRUCTURAL FRAMES;

AXIAL LOADS; BENDING (DEFORMATION); ELASTOPLASTICITY; PIECEWISE LINEAR TECHNIQUES; STRUCTURAL FRAMES;

BENDING; ELASTOPLASTICITY; SOFTENING; STRAIN;

EID: 33947109391     PISSN: 01410296     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engstruct.2006.06.011     Document Type: Article

References (31)

1. Maier G. Behaviour of elastic-plastic trusses with unstable bars. Journal of the Engineering Mechanics Division (ASCE) 92 (1966) 67-91
2. Maier G. On softening flexural behaviour in elastic-plastic beams. Rendiconti Istituto Lombardo Scienze e Lettere 102 (1968) 648-677 [in Italian]. English translation in: Studi e Ricerche, Politecnico di Milano 1986;8:85-117
3. Maier G. On stuctural instability due to strain softening. In: Leipholz H. (Ed). Instability of continuous systems (1971), Springer Verlag, Berlin 411-417
4. Maier G., Zavelani A., and Dotreppe J.C. Equilibrium branching due to flexural softening. Journal of the Structural Division (ASCE) 99 (1973) 897-906
5. Maier G. Incremental plastic analysis in the presence of large displacements and physical instabilizing effects. International Journal of Solids and Structures 7 (1971) 345-372
6. Corradi L. Stability of discrete elastic plastic structures with associated flow laws. Solid Mechanics Archives 3 (1978) 201-259
7. Bolzon G., and Corigliano A. A discrete formulation for elastic solids with damaging interfaces. Computer Methods in Applied Mechanics and Engineering 140 (1997) 329-359
8. Maier G. A matrix structural theory of piecewise linear elastoplasticity with interacting yield planes. Meccanica 5 (1970) 54-66
9. Franchi A., and Cohn M.Z. Computer analysis of elastic-plastic structures. Computer Methods in Applied Mechanics and Engineering 21 (1980) 271-294
10. Wakefield R.R., and Tin-Loi F. Large scale nonholonomic elastoplastic analysis using a linear complementarity formulation. Computer Methods in Applied Mechanics and Engineering 84 (1990) 229-242
11. Tin-Loi F., and Pang J.S. Elastoplastic analysis of structures with nonlinear hardening: A nonlinear complementarity approach. Computer Methods in Applied Mechanics and Engineering 107 (1993) 299-312
12. Cottle R.W., Pang J.S., and Stone R.E. The linear complementarity problem (1992), Academic Press, San Diego
13. Bolzon G., Maier G., and Tin-Loi F. On multiplicity of solutions in quasi-brittle fracture computations. Computational Mechanics 19 (1997) 511-516
14. Bolzon G., and Tin-Loi F. Physical instability and geometric effects in frames. Engineering Structures 21 (1999) 557-567
15. Tin-Loi F., and Xia S.H. Elastoplastic analysis of space trusses considering the effects of large displacements and softening. Mechanics of Structures and Machines 26 (1998) 423-441
16. Cocchetti G., and Maier G. Elastic-plastic and limit-state analyses of frames with softening plastic-hinge models by mathematical programming. International Journal of Solids and Structures 40 (2003) 7219-7244
17. Tin-Loi F., and Tseng P. Efficient computation of multiple solutions in quasibrittle fracture analysis. Computer Methods in Applied Mechanics and Engineering 192 (2003) 1377-1388
18. Attard M.M., and Tin-Loi F. Numerical simulation of quasibrittle fracture in concrete. Engineering Fracture Mechanics 72 (2005) 387-411
19. Mistakidis E.S. A heuristic method for nonconvex optimization in mechanics: conceptual idea, theoretical justification, engineering applications. Journal of Global Optimization 17 (2000) 301-316
20. Karakostas S.M., and Mistakidis E.S. Evaluation of the ductility features in steel structures with softening moment-rotation behaviour based on a nonconvex optimization formulation. Engineering Computations 17 (2000) 573-592
21. Tin-Loi F., and Xia S.H. Holonomic softening: Models and analysis. Mechanics of Structures and Machines 29 (2001) 65-84
22. Massonnet C.E., and Save M.A. Plastic analysis and design, vol: 1, beams and frames (1965), Blaisdell Publishing Co., New York
23. Cocchetti G., Maier G., and Shen X.P. Piecewise linear models for interfaces and mixed mode cohesive cracks. Computer Modeling in Engineering Sciences 3 (2002) 279-298
24. Dirkse S.P., and Ferris M.C. MCPLIB: A collection of nonlinear mixed complementarity problems. Optimization Methods and Software 5 (1995) 319-345
25. Bažant Z.P., and Cedolin L. Stability of structures (1991), Oxford University Press, New York
26. Maier G., Giacomini S., and Paterlini F. Combined elastoplastic and limit analysis via restricted basis linear programming. Computer Methods in Applied Mechanics and Engineering 19 (1979) 21-48
27. Brooke A., Kendrick D., Meeraus A., and Raman R. GAMS: A user's guide (1998), GAMS Development Corporation, Washington DC
28. Ferris MC. GAMS: Interfacing optimization and visualization software. Technical report TR98-19. Madison: Computer Sciences Department, University of Wisconsin; 1998
29. Dirkse S.P., and Ferris M.C. The PATH solver: A nonmonotone stabilization scheme for mixed complementarity problems. Optimization Methods & Software 5 (1995) 123-156
30. Dolan E.D., Fourer R., Moré J.J., and Munson T.S. Optimization on the NEOS server. SIAM News 35 (2002) 8-9
31. Bolzon G., and Cocchetti G. Direct assessment of structural resistance against pressurized fracture. International Journal for Numerical and Analytical Methods in Geomechanics 27 (2003) 353-378