Elasto-plastic postbuckling of damaged orthotropic plates

Applied Mathematics and Mechanics (English Edition)

Volumn 29, Issue 7, 2008, Pages 841-853

  Tian, Yan Ping ^a   Fu, Yi Ming ^a  

^a HUNAN UNIVERSITY   (China)

Author keywords

Elasto plastic damage; Elasto plastic postbuckling; Incremental theory; Mixed hardening; Orthotropic plates

Indexed keywords

BEAMS AND GIRDERS; CONSTITUTIVE EQUATIONS; CONTINUUM DAMAGE MECHANICS; CONTINUUM MECHANICS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; ELASTOPLASTICITY; FINITE DIFFERENCE METHOD; ITERATIVE METHODS; NUMERICAL ANALYSIS; PLASTICS; PLATES (STRUCTURAL COMPONENTS); SPEED; STRESSES;

CONTINUUM DAMAGE; DAMAGE EFFECTS; DAMAGE EVOLUTION; DIMENSIONLESS FORM; ELASTO PLASTIC; ELASTO-PLASTIC DAMAGE; FINITE DIFFERENCE (FD); INITIAL DEFLECTIONS; ISOTROPIC MATERIALS; ITERATION METHODS; MIXED-HARDENING; NON LINEAR EQUILIBRIUM EQUATIONS; NONLINEAR PLATE THEORY; NUMERICAL EXAMPLES; ORTHOTROPIC MATERIALS; ORTHOTROPIC PLATES; POST-BUCKLING; SPHERICAL(PIVOT); THIN PLATES; YIELD CRITERION;

NONLINEAR EQUATIONS;

EID: 47049086043     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10483-008-0702-y     Document Type: Article

References (17)

1. Yuan Z P, Zheng Y. A study on yield and flow of orthotropic materials[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(3):247-253. DOI 10.1007/BF02015205
2. Shi G Y, Voyiadjis G Z. A new free energy for plastic damage analysis[J]. Mechanics Research Communications, 1997, 24(4):377-383.
3. Lemaitre J. A continuous damage mechanics model for ductile fracture[J]. J Eng Mater Tech, 1985, 107(1):83-89.
4. Hayakawa K, Murakami S, Liu Y. An irreversible thermodynamics theory for elastic-plastic-damage materials[J]. Eur J Mech A/Solids, 1998, 17(1):13-32.
5. Voyiadjis G Z, Deliktas B. A coupled anisotropic damage model for the inelastic response of composite materials[J]. Comlput Methods Appl Mech Engrg, 2000, 183(3/4):159-199.
6. Hutchinson J W. Post-bifurcation behavior in the plastic range[J]. J Mech Phys Solids, 1973, 21(3):163-190.
7. Hutchinson J W. Plastic buckling[J]. Advances in Appl Mech, 1974, 14:67-141.
8. Needleman A, Tvergaard V. An analysis of the imperfection sensitivity of square elastic-plastic plates under axial compression[J]. Int J Solids Structure, 1976, 12(3):185-201.
9. Nguyen Q S. Bifurcation and post-bifurcation analysis in plasticity and brittle fracture[J]. J Mech Phys Solids, 1987, 35(3):303-324.
10. Nguyen Q S, Triantafyllidis N. Plastic bifurcation and post-bifurcation analysis for generalized standard continua[J]. J Mech Phys Solids, 1989, 37(5):545-566.
11. Cimetière A, Léger A. Some problems about elastic-plastic post-buckling[J]. Int J Solids Structures, 1996, 30(10):1519-1533.
12. Pi Y L, Bradford M A. Elasto-plastic buckling and postbuckling of arches subjected to a central load[J]. Computers and Structures, 2003, 81(18/19):1811-1825.
13. Lemaitre J. A course on damage mechanics[M]. Berlin: Springer-Veriag, 1992.
14. Chow C L, Wang J. An anisotropic theory of elasticity for continuum damage mechanics[J]. Engg Fract Mesh, 1987, 33(1):3-16.
15. Sidoroff F. Description of anisotropic damage application to elasticity[C]. In: Proceedings of IUTAM Colloguium, Physical Nonlinearities in Structural Analysis, 1981, 237-240.
16. Chia C Y. Nonlinear analysis of plates[M]. New York: McGraw-Hill International Book Company, 1980.
17. Wang C M, Xiang Y, Chakrabarty J. Elastic/plastic buckling of thick plates[J]. International Journal of Solids and Structures, 2001, 38(48/49):8617-8640.