On the integration of stresses in large deformations plasticity

Engineering Computations (Swansea, Wales)

Volumn 16, Issue 1, 1999, Pages 49-69

  Marcon, A F ^a,b   Bittencourt, E ^a   Creus, G J ^a  

^a FEDERAL UNIVERSITY OF RIO GRANDE DO SUL   (Brazil)

^b SANTA CATARINA STATE UNIVERSITY   (Brazil)

Author keywords

Deformation; Plasticity; Strain; Stress

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; PLASTIC DEFORMATION; SHEAR DEFORMATION; STRAIN MEASUREMENT; DEFORMATION; KINEMATICS; STRAIN; STRESSES;

LARGE DEFORMATION PLASTICITY; HYPERELASTIC CONSTITUTIVE EQUATIONS; KINEMATIC HARDENING; STRESS OSCILLATIONS;

STRESS ANALYSIS; ELASTOPLASTICITY;

EID: 0032635136     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644409910251229     Document Type: Article

References (12)

1. Bažant, Z.P. and Cedolin, L. (1991), Stability of Structures, Oxford University Press.
2. Bažant, Z.P. (1996), "Easy-to-compute finite strain tensor with symmetric inverse, approximating Hencky strain tensor", Report 96-9/425e, Northwestern University, Evanston.
3. Eterovic, A.L. and Bathe, K.J. (1990), "A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures", Int. J. Numer. Meth. Engng, Vol. 30, pp. 1099-14.
4. Dienes, J.K. (1979), "On the analysis of rotation and stress rate in deforming bodies", Acta Mech. Vol. 32, pp. 217-32.
5. Hill, R. (1968), "On constitutive inequalities for simple materials-I", J. Mech. Phys. Solids, Vol. 16, pp. 22942, Quoted by Wang and Truesdell (1973).
6. Lee, E.H., Mallett, R.L. and Wertheimer, T.B. (1983), "Stress analysis for anisotropic hardening in finite-deformation plasticity", ASME J. Appl. Mech., Vol. 50, pp. 554-60.
7. Marcon, A.F. (1998), "Relações constitutivas em grandes deformações: modelos elasto-plásticos, integração numérica e aplicaç>õs à problemas de conformação mecànica", MSc thesis, CEMACOM/UFRGS, Porto Alegre.
8. Moss, W. C. (1984), "On instabilities in large deformation simple shear loading", Comp. Meth. in Appl. Mech. and Eng, Vol. 46, pp. 329-33.
9. Nagtegaal, J.C. and de Jong, J.E. (1982), "Some aspects of nonisotropic work hardening in finite strain plasticity", in Lee, E.H. and Mallett, R.L. (Eds), Plasticity of Metals at Finite Strain: Theory, Experiment and Computation, Div. Apll. Mech., Stanford University and Department of Mechanical Engineering, R.P.I., 65-102.
10. Nagtegaal, J.C. (1982), "On the implementation of inelastic constitutive equations with special reference to large deformation problems", Comp. Meth. Appl. Mech. Eng, Vol. 33, pp. 469-84.
11. Onat, E.T. (1982), "Representation of inelastic behavior in the presence of anisotropy and of finite deformations", in Wilshire, B. and Owen, D.R.J. (Eds), Recent Advances in Creep and Fracture of Engineering Materials and Structures, Pineridge Press.
12. Peric, D.J., Owen, D.J.R. and Honor, M.E. (1992), "A model for finite strain elastoplasticity based on logarithmic strain: computational issues", Comp. Meth. In Appl. Mech. and Eng, Vol. 94, pp. 35-61.