Abstract
Shell structures are extremly efficient, thin walled load-carrying components, in the elastic as well as in the inelastic regime. Realistic and efficient computational strategies lately are in rapid development. Such computational strategy for modelling of nonisothermal, highly nonlinear hardening responses in elastoplastic shell analysis has been proposed in this article. Therein, the closest point projection algorithm employing the Reissner-Mindlin type kinematic model, completely formulated in tensor notation, is applied. A consistent elastoplastic tangent modulus ensures high convergence rates in the global iteration approach. The integration algorithm has been implemented into a layered assumed strain isoparametric finite shell element, which is capable of geometrical nonlinearities including finite rotations. Under the assumption of an adiabatic process, the increase of the temperature is analysed during elastoplastic deformation. Finally, numerical examples illustrate robustness and efficiency of the proposed algorithms.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Armstrong, P.J. and Frederick, C.O.: A mathematical representation of the multiaxial Bauschinger effect, GEGB Report No. RD/B/N73 1, Berceley Nuclear Laboratories, 1966.
Basar, Y. and Krätzig, W.B.: Mechanik der Flächentragwerke, Vieweg, Braunschweig, 1985.
Basar, Y., Montag, U. and Ding Y.: On an isoparametric finite element for composite laminates with finite rotations, Comp. Mech. 12 (1993), 329–348.
Beem, H., KÖnke, C., Montag, U. and Zahlten, W.: FEMAS 2000-Finite Element Moduls of Arbitrary Structures, Users Manual, Institute for Statics and Dynamics, Ruhr-University Bochum, 1996.
Chaboche, J.L.: Time-independent constitutive theories for cyclic plasticity, Int. J. Plast. 2 (1986), 149–188.
Doghri, I.: Fully implicit integration and consistent tangent modulus in elasto-plasticity, Int. J. Numer. Meth. Engng. 36 (1993), 3915–3932.
Hartmann, S. and Haupt, P.: Stress computation and consistent tangent operator using non-linear kinematic hardening models, Int. J. Numer. Meth. Engng. 36 (1993), 3801–3814.
Hopperstad, O.S. and Remseth S.: A return mapping algorithm for a class of cyclic plasticity models, Int. J. Numer. Meth. Engng. 38 (1995), 549–564.
Krätzig, W.B.: Multi-level modeling techniques for elasto-plastic structural responses, in: Owen, D.R.J. et al. (eds.), Computational Plasticity, Part 1, CIMNE, Barcelona (1997), 457–468.
Lehmann, Th.: On a generalized constitutive law for finite deformations in thermo-plasticity and thermoviscoplasticity, in: Desai, C.S. et al. (eds.), Constitutive Laws for Engineering Materials, Theory and Applications, Elsevier, New York (1987), 173–184.
Libai, A. and Simmonds, J.G.: Nonlinear elastic shell theory, Adv. Appl. Mechanics 23 (1983), 271–371.
Libai, A. and Simmonds, J.G.: The Nonlinear Theory of Elastic Shells, 2nd ed., Cambridge University Press, Cambridge, 1998.
McDowell, D.L.: A nonlinear kinematic hardening theory for cyclic thermoplasticity and thermoviscoplasticity, Int. J. Plast. 8 (1992), 695–728.
Montag, U., Krätzig, W.B. and Sorić, J.: On stable numerical simulation strategies for elastoplastic deformation processes of shell structures, in: Topping, B.H.V. (ed.), Advances in Computational Methods for Simulation, Civil-Comp Press, Edinburgh (1996), 61–71.
Montag, U., Krätzig, W.B. and Sorić, J.: Increasing solution stability for finite-element modeling of elasto-plastic shell response, Adv. Engg. Sofware 30 (1999), 607–619.
Reid, S.R.: Plastic deformation mechanisms in axially compressed metal tubes used as impact energy absorbers, Int. J. Mech. Sci. 35 (1993), 1035–1052.
Simo, J.C. and Hughes, T.J.R.: Computational Inelasticity, Springer, New York, 1998.
Sorić, J., Montag, U. and Krätzig, W.B.: An efficient formulation of integration algorithms for elastoplastic shell analyses based on layered finite element approach, Comp. Meth. Appl. Mech. Eng. 148 (1997), 315–328.
Sorić, J., Tonković, 2. and Krätzig, W.B.: On numerical simulation of cyclic elastoplastic deformation processes of shell structures, in: Topping, B.H.V. (ed.), Advances in Finite Element Procedures and Techniques, Civil-Comp Press, Edinburgh (1998), 221–228.
Szepan, F.: Ein elastisch-viskoplastisches Stoffgesetz zur Beschreibung gro ß er Formanderungen unter Berücksichtigung der thermomechanischen Kopplung (An elasto-plastic constitutive law for mild steel under large deformations and thermo-mechanical coupling), IfM 70, Institute for Applied Mechanics, Ruhr-University Bochum, 1989.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Kluwer Academic Publishers
About this chapter
Cite this chapter
Krätzig, W.B., Montag, U., Sorić, J., Tonković, Z. (2001). Computer Simulation of Nonisothermal Elastoplastic Shell Responses. In: Durban, D., Givoli, D., Simmonds, J.G. (eds) Advances in the Mechanics of Plates and Shells. Solid Mechanics and its Applications, vol 88. Springer, Dordrecht. https://doi.org/10.1007/0-306-46954-5_11
Download citation
DOI: https://doi.org/10.1007/0-306-46954-5_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-6785-7
Online ISBN: 978-0-306-46954-1
eBook Packages: Springer Book Archive