Necking of elasto-plastic rods under tension

International Journal of Non-Linear Mechanics

Volumn 32, Issue 6, 1997, Pages 1077-1086

  Costa Mattos, Heraldo S ^a   Chimisso, Fulvio E G ^b  

^a FLUMINENSE FEDERAL UNIVERSITY   (Brazil)

^b FEDERAL UNIVERSITY OF RIO GRANDE   (Brazil)

Author keywords

Elasto plasticity; Necking; Theory of rods

Indexed keywords

ALUMINUM; DEFORMATION; ELASTOPLASTICITY; MATHEMATICAL MODELS; TENSILE TESTING;

ELASTOPLASTIC RODS; METALLIC TENSION MEMBERS; ROD THEORY; STRAIN SOFTENING;

STRUCTURAL MEMBERS;

EID: 0031275315     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0020-7462(96)00132-1     Document Type: Article

References (15)

1. S. S. Antman and E. R. Carbone, Shear and necking instabilities in non-linear elasticity. J. Elasticity 7, 125-151 (1977).
2. A. E. Green, P. M. Naghdi and M. L. Wenner, On the theory of rods - I. Derivations from the three-dimensional equations II. Developments by direct approach. Proceedings of the Royal Society of London, Vol. A 337, pp. 451-507 (1974).
3. F. Rochinha and H. Costa Mattos, A nonlinear theory for elastic bars under tension. Mech. Res. Commun. 21, 309-315 (1994).
4. S. S. Antman, Nonuniqueness of equilibrium states for bars in tension. J. Math. Anal. Applic. 44, 333-349 (1973).
5. D. Marquis, Modelisation et identification de l'ecrouissage anisotrope des metaux. These 3ème Cycle, Université Pierre et Marie Curie-Paris VI (1979).
6. H. S. Costa Mattos, M. Fremond and E. N. Mamiya, A simple model of the mechanical behavior of ceramic-like materials. Int. J. Solids Structures 20, 3185-3200 (1992).
7. H. S. Costa Mattos and R. Sampaio, Analysis of the fracture of brittle elastic materials using a continuum damage model. Struct. Engng Mech. 3, 411-427 (1995).
8. J. Lemaitre and J. L. Chaboche, Mechanics of Solid Materials. Cambridge University Press, London (1990).
9. F. E. G. Chimisso, A continuum damage model for materials with elasto-plastic behavior. D.Sc. thesis, Department of Mechanical Engineering, PUC-Rio (in Portuguese) (1994).
10. G. I. Marchuck, Methods of Numerical Analysis. Springer-Verlag (1975).
11. A. J. Chorin, T. J. R. Hughes, M. F. McCracken and J. E. Marsden, Product formulas and numerical algorithms. Commun. Pure Appl. Math. XXXVI, 205-256 (1978).
12. P. G. Ciarlet and J. L. Lions, Handbook of Numerical Analysis, Vol. I. North-Holland Elsevier Science (1990).
13. M. Ortiz, P. M. Pinsky and R. L. Taylor, Operator split methods for the numerical solution of the elastoplastic dynamic problem. Computer Methods Appl. Mech. Engng 39, 137-157 (1983).
14. J. C. Simo and C. Miehe, Associative coupled thermoplasticity at finite strains: formulation, numerical analysis and implementation. Computer Methods Appl. Mech. Engng 98, 41-104 (1992).
15. W. F. Ames, Numerical Methods for Partial Differential Equations. Thomas Nelson (1969).