Constitutive model and finite element formulation for large strain elasto-plastic analysis of shells

Computational Mechanics

Volumn 23, Issue 5, 1999, Pages 466-481

  Basar Y ^a   Itskov, M ^a  

^a RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPRESSIBILITY; ELASTOPLASTICITY; FINITE ELEMENT METHOD; HARDENING; KINEMATICS; MATHEMATICAL MODELS; PLASTIC DEFORMATION; STRAIN RATE; STRESS CONCENTRATION; STRUCTURAL ANALYSIS;

KINEMATIC HARDENING; MEMBRANE LOCKING; MULTILAYER SHELL KINEMATICS; PLASTIC ANISOTROPY; STRAIN ELASTOPLASTIC ANALYSIS;

SHELLS (STRUCTURES);

EID: 0032689024     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050426     Document Type: Article

References (41)

1. Atluri SN (1984) Alternate stress and conjugate strain measures, and mixed variational formulations involving rigid rotations, for computational analyses of finitely deformed solids, with applications to plates and shells - Part I: Theory. Computers & Structures 18:93-116
2. Atluri SN (1986) An endochronic approach and other topics in small and finite deformation plasticity. In: Bergan P; Stein E, Wunderlich W. (eds) Finite Elements in Nonlinear Mechanics, Springer, pp. 17-48
3. Atluri SN, Im S, Watanabe O (1986) Observations on phenomenological plasticity theories and constitutive modelling of finite deformations elasto-plasticity based upon an internal time concept. In: Chandra J. (ed) Constitutive Models of Deformation. Soc. for Industrial & Appl. Mech., pp. 85-108
4. Atluri SN, Reissner E (1989) On the formulation of variational theorems involving volume constrains. Comp. Mech. 5:337-344
5. Başar Y, Ding Y (1996) Finite-element analysis of hyperelastic thin shells with large strains. Comp. Mech. 18:200-214
6. Başar Y, Ding Y (1995) Interlaminar stress analysis of composites: Layer-wise shell finite elements including transversal strains. Composites Eng. 5:485-499
7. Başar Y, Eckstein A (1998) Large inelastic strain analysis by multi-layer kinematics. In: Meskouris K, Wittek U (eds) Aspects in Modern Computational Structural Analysis. pp. 121-136. Rotterdam: Balkema
8. Betsch P, Gruttmann F, Stein E (1996) A 4-node finite shell element for the implementation of general hyperelastic 3D-elasticity at finite strains. Comp. Meth. Appl. Mech. Eng. 130:57-79
9. Bischoff M, Ramm E (1997) Shear deformable shell elements for large strains and rotations. Int. J. Num. Meth. Eng. 40:4427-4449
10. Dvorkin EN, Bathe K-J (1984) A continuum mechanics based four-node shell element for general nonlinear analysis. Eng. Comput. 1:77-88
11. Dvorkin EN, Pantuso D, Repetto EA (1994) A finite element formulation for finite strain elasto-plastic analysis based on mixed interpolation of tensorial components. Comp. Meth. Appl. Mech. Eng. 114:35-54
12. Dvorkin EN, Pantuso D, Repetto EA (1995) A formulation of the MITC4 Shell element for finite strain elasto-plastic analysis. Comp. Meth. Appl. Mech. Eng. 125:17-40
13. Eberlein R (1997) Finite-Elemente-Konzepte für Schalen mit großen elastischen und plastischen Verzerrungen. Dissertationsschrift. Technische Hochschule Darmstadt.
14. Eckart C (1948) The thermodynamics of irreversible processes. 4. The theory of elasticity and inelasticity. Phys. Rev. 73:373-382
15. Eterovic AL, 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. Num. Meth. Eng. 30:1099-1114
16. Gabriel G, Bathe K-J (1995) Some computational issues in large strain elasto-plastic analysis. Computers & Structures 56: 249-267
17. Green AE, Naghdi PM (1965) A general theory of an elasto-plastic continuum. Arch. Rational Mech. Anal. 18:251-281
18. Green AE, Zerna W (1968) Theoretical elasticity. Oxford
19. Ibrahimbegović A (1994) Equivalent spatial and material descriptions of finite deformations elastoplasticity in principal axes. Int. J. Solids & Structures 31:3027-3040
20. Im S, Atluri SN (1987) A study of two finite strain plasticity models: an internal time theory using Mandel's director concept and combined isotropic-kinematic hardening theory. Int. J. Plasticity 3:163-191
21. Lee EH, Liu DT (1967) Finite strain elastic-plastic theory with application to plane wave analysis. J. Appl. Phys. 38:17-27
22. Lee EH (1969) Elastic-plastic deformation at finite strains. J. Appl. Mech. 36:1-6
23. Miehe C (1996) Exponential map algorithm for stress updates in anisotropic multiplicative elasto-plasticity for single crystals. Int. J. Num. Meth. Eng. 39:3367-3390
24. Moss WC (1984) On instabilities in large deformation simple shear loading. Comp. Meth. Appl. Mech. Eng. 46:329-338
25. Nagtegaal JC, Jong JE de (1982) Some aspects of nonisotropic work hardening in finite strain plasticity. In: Lee EH, Mallet RL (eds) Plasticity of Metals at Finite Strain: Theory, Experiment and Computation, pp. 65-102. Stanford University
26. Perić D, Owen DRJ, Honnor ME (1992) A model for finite strain elasto-plasticity based on logarithmic strains: Computational issues. Comp. Meth. Appl. Mech. Eng. 94:35-61
27. Roehl D, Ramm E (1996) Large elasto-plastic finite element analysis of solids and shells with the enhanced assumed strain concept. Int. J. Solids & Structures 33:3215-3237
28. Sansour C, Kollmann FG (1998) Large strain viscoplastic deformations of shells. Theory and finite element computations. Comp. Mech. 21(6):512-525
29. Schieck B, Smolenski WM, Stumpf H (1999) A shell finite element for large strain elastoplasticity with anisotrpies. Part II: Constitutive equations and numerical applications. Int. J. Solids & Structures (to appear)
30. Sedov LI (1966) Foundations of the non-linear mechanics of continua. Oxford: Pergamon Press
31. Seifert B (1996) Zur Theorie und Numerik finiter elastoplastischer Deformationen von Schalenstrukturen. Dissertationsschrift. Universität Hannover
32. Simo JC, Taylor RL, Pister KS (1985) Variational and projection methods for the volume constraint in finite deformation elasto-plasticity. Comp. Meth. Appl. Mech. Eng. 51:177-208
33. Simo JC, Rifai MS (1990) A class of mixed assumed strain methods and the method of incompatible modes. Int. J. Num. Meth. Eng. 29:1595-1638
34. Simo JC (1992) Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory. Comp. Meth. Appl. Mech. Eng. 99:61-112
35. Simo JC, Miehe C (1992) Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation. Comp. Meth. Appl. Mech. Eng. 98:41-104
36. Simo JC, Kennedy JG (1992) On a stress resultant geometrically exact shell model. Part V. Nonlinear plasticity: formulation and integration algorithms. Comp. Meth. Appl. Mech. Eng. 96:133-171
37. Simo JC, Taylor RL (1985) Consistent tangent operators for rate independent plasticity. Comp. Meth. Appl. Mech. Eng. 48:101-118
38. Sorić J, Montag U, Krätzig WB (1997) An efficient formulation of integration algorithms for elastoplastic shell analysis based on layered finite element approach. Comp. Meth. Appl. Mech. Eng. 148:315-328
39. Truesdell C, Noll W (1965) The nonlinear field theories of mechanics. In: Flügge S (ed) Handbuch der Physik, Vol. III/3, Springer, Berlin
40. Wang LH, Atluri SN (1994) An analysis of an explicit algorithm and the radial return algorithm, and a proposed modification, in finite plasticity. Comp. Mech. 13:380-389
41. Wriggers P, Eberlein R, Reese S (1996) A comparison of three-dimensional continuum and shell elements for finite plasticity. Int. J. Solids & Structures 33:3309-3326