Abstract
We present herein a new computational approach for thermo-viscoplastic problems. This method is well-suited for non-linear mechanical behaviour, as described by internal variables. This approach contrasts with the classical step-by-step method since it is an iterative procedure that can take into account the whole loading process in a single time interval. A key point is to reformulate the thermo-mechanical problem: all of the nonlinearities are concentrated in the evolution laws, and the state equations are thus both linear and temperature-independent (except for the Hooke’s elasticity law, according to which the effects of temperature are smooth). Several examples serve to illustrate the possibilities and efficiency of this strategy. Comparisons with classical methods show that this method seems to be of great interest in industrial simulations.
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
Benallal A. and Ben Cheikh A. (1987) Constitutive equations for anisothermal elastoviscoplasticity, Constitutive laws for engineering materials: Theory and application, C.S. Desai et al. (eds.), pp. 667–674, Elsevier.
Burlet H. and Cailletaud G. (1986) Numerical techniques for cyclic plasticity at variable temperature, Engineering Computations, 3, pp. 143–153.
Geradin M., Golinval J.P. and Mascarell J.P. (1989) Analyse tridimensionnelle d’une aube de turbine en thermo-viscoplasicité, La Recherche Aérospatiale, n∘ 5, pp. 51–57.
Ohno N. and Wang J.D. (1991) Two equivalent forms of non-linear kinematic hardening: application to non-isothermal plasticity, International Journal of Plasticity, 7, pp. 637–650.
Watanabe O. and Atluri S.N. (1986) Internal time, general internal variable, and multi-yield-surface theories of plasticity and creep: a unification of concepts, International Journal of Plasticity, 2, pp. 37–57.
Abdul-aziz A., August R. and Nagpal V. (1993) Design considerations for a space shuttle main engine turbine blade made of single crystal material, Computers & Structures, 46, n∘2, pp. 249–259.
Amar G. and Dufailly J. (1993) Identification and validation of viscoplastic and damage constitutive equations, European Journal of Mechanics A/Solids, 12, n∘2, pp. 197–218.
Benallal A. and Ben Cheikh A. (1987) Modelling of anisothermal effects in elastoviscoplasticity, in Thermomechanical couplings in solids, H.D. bui & Q.S. Nguyen (eds), pp. 403–409, Elsevier Science Publishers B.V. (North-Holland).
Dunne F.P.E. and Hayhurst D.R. (1994) Efficient cycle jumping techniques for the modelling of materials and structures under cyclic mechanical and thermal loading, European Journal of Mechanics, A/Solids, 13, n∘5, pp. 639–660.
Ladevèze P. (1985) Sur une famille d’algorithmes en mechanique des structures, Compte-Rendus de l’Académie des Sciences, tome 300, série II, pp. 41–44.
Ladevèze P. (1989) La Méthode A Grand Incrément de Temps pour l’analyse des structures à comportement non linéaire décrit par variables internes, Compte-Rendus de l’Académie des Sciences, tome 309, série II, pp. 1095–1099.
Ladevèze P. (1991) New advances in the large time increment method, in New advances in computational mechanics, Ladevèze P.-Zienkiewicz O.C. (eds.), Elsevier, pp. 3–21.
Lemaitre J. and Chaboche J.L. (1994) Mechanics of solid materials, Cambridge University Press.
Chaboche J.L. (1993) Cyclic viscoplastic constitutive equations. Part I: A thermodynamically-consistent formulation, Part II: Stored energy comparison between models and experiments, Journal of Applied Mechanics, 60, pp. 813–828.
Cognard J.Y. and Ladevèze P. (1993) A large time increment approach for cyclic viscoplasticity, International Journal of Plasticity, 9, pp. 141–157.
Cognard J.Y., Ladevèze P. and Talbot P. (1996) A large time increment approach for thermomechanical problems, in Advances in Finite Element Technology, Topping B. (ed), Civil-comp Press, pp. 309–318.
Ladevèze P. (1996) Structural non-linear mechanics: new approach and non-incremental computational methods (in french) Hermes.
Verpeaux P., Charras T. and Millard A. (1988) CASTEM 2000: Une approche moderne du calcul des structures, in Calcul des Structures et Intelligence Artificielle, Fouet J.M., Ladevèze P., Ohayon R. (eds.), Pluralis, pp. 261–271.
Pilvin Ph. (1997) Private communication.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Kluwer Academic Publishers
About this paper
Cite this paper
Ladeveze, P., Cognard, J.Y., Talbot, P. (1999). A Non-incremental and Adaptive Computational Approach in Thermo-viscoplasticity. In: Bruhns, O.T., Stein, E. (eds) IUTAM Symposium on Micro- and Macrostructural Aspects of Thermoplasticity. Solid Mechanics and its Applications, vol 62. Springer, Dordrecht. https://doi.org/10.1007/0-306-46936-7_27
Download citation
DOI: https://doi.org/10.1007/0-306-46936-7_27
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-5265-5
Online ISBN: 978-0-306-46936-7
eBook Packages: Springer Book Archive