zbMATH — the first resource for mathematics

\(FE^2\) multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials. (English) Zbl 0993.74062
Summary: This paper discusses modelling of the behaviour of structures reinforced by long fibre SiC/Ti composite material with a periodic microstructure. A new multiscale behaviour model based on a multilevel finite element \((\text{FE}^2)\) approach is used to take into account heterogeneities in the behaviour between the fibre and matrix. It is shown that combining this model with parallel computation techniques makes it possible to consider realistic composite structural computations yielding a detailed geometric description and constitutive equations giving access to microstructural data, instead of only to phenomenological macroscopic data difficult to correlate with local mechanical state.

74S05 Finite element methods applied to problems in solid mechanics
74C10 Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity)
74E30 Composite and mixture properties
Full Text: DOI
[1] L. Baroumes, I.Vinçon, Identification du comportement thermo-elasti-viscoplastique de l’alliage ti -6-2-4-2, Rapport interne, LMT Cachan, 1995
[2] Roux, F.-X; Fahrat, C., Implicit parallel processing in structural mechanics, Comput. methods appl. mech. engrg., 2, 1, (1994)
[3] Chaboche, J.-L., Constitutive equations for cyclic plasticity and viscoplasticity, Int. J. plasticity, 247-302, (1989) · Zbl 0695.73001
[4] Chaboche, J.; Rousselier, G., On the plastic and viscoplastic constitutive equations based on the internal variable concept, J. pressure vessel technol., 153-158, (1983)
[5] F. Feyel, Parallélisme et approches multi-échelles en mécanique des matériaux, Ph.D. thesis, École Normale Supérieure de Mines de Paris, 1998
[6] F. Feyel, G. Cailletaud, S. Kruch, F. Roux, Application du calcul parallèle aux modèles à grand nombre de variables internes, in: Colloque National en calcul de structures, 20-23 May 1997, Giens, France
[7] Frédéric Feyel, Georges Cailletaud, and François-Xavier Roux. Application of parallel computation to material models with a large number of internal variables, Rev. Eur. Elem. Finis 7 (1-3) (1998) 55-72 · Zbl 0914.73055
[8] Feyel, F.; Calloch, S.; Marquis, D.; Cailletaud, G., F.e. computation of a triaxial specimen using a polycrystalline model, Comput. mater. sci., 9, 141-157, (1997)
[9] Lemaitre, J.; Chaboche, J., Mech. solid mater., (1985)
[10] T. Pottier, S. Kruch, J. Chaboche, Analyse de l’endommagement macroscopique d’un composite à matrice métallique, in: 10 \(\^{}\{ è mes\}\) Journées Nationales sur les composites “JNC10”, 29-31 October 1996, Paris, France
[11] Renard, J., Modélisation de la dégradation d’un pièce composite par une simulation nuérique àdeux échelles, La recherche Aérospatiale, 1, 57-66, (1990) · Zbl 0696.73038
[12] Rice, J.-R., On the structure of stress-strain relations for time-dependent plastic deformations in metals, J. appl. mech., 728-737, (1970)
[13] V. Tvergaard, Micromechanical modelling of fibre debonding in a metal reinforced by short fibres, in: G.J. Dvorak (Ed.), IUTAM Symposium on Inelastic Deformation of Composite Materials, Springer, Berlin, 1990, pp. 99-111
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.