Shakedown analysis of unidirectional fiber reinforced metal matrix composites

Computational Materials Science

Volumn 31, Issue 1-2, 2004, Pages 24-32

  Carvelli, Valter ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

Finite element method; Homogenization; Metal matrix composites; Plastic collapse; Shakedown

Indexed keywords

ALUMINA; ALUMINUM ALLOYS; FIBERS; ITERATIVE METHODS; KINEMATICS; MATHEMATICAL PROGRAMMING; PLASTICS; STRAIN; STRESSES;

FIBER REINFORCED METAL MATRIX COMPOSITES; FINITE ELEMENT METHODS; HOMOGENIZATION; PLASTIC COLLAPSE; SHAKEDOWN;

FIBER REINFORCED MATERIALS;

EID: 4344610783     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.commatsci.2004.01.030     Document Type: Article

References (23)

1. Aboudi J. Mechanics of Composite Materials. 1991;Elsevier.
2. Du Z.Z., McMeeking R.M., Schmauder S. Transverse yielding and matrix flow past the fibers in metal matrix composites. Mech. Mater. 21:1995;159-167.
3. Francescato P., Pastor J. Lower and upper numerical bounds to the off-axis strength of unidirectional fiber-reinforced composites by limit analysis methods. Eur. J. Mech./A Solids. 16:1997;213-234.
4. Carvelli V., Taliercio A. A micromechanical model for the analysis of unidirectional elastoplastic composites subjected to 3D stresses. Mech. Res. Commun. 26:1999;547-553.
5. V. Carvelli, A. Taliercio, Plane strain limit analysis of periodic fiber-reinforced composites, in: Proceeding of the XIV National Congress AIMETA, 6-9 October 1999, Como (Italy) (full text in CD-ROM).
6. Carvelli V., Maier G., Taliercio A. Kinematic limit analysis of periodic heterogeneous media. Comput. Modell. Eng. Sci. 1:2000;19-30.
7. Aghdam M.M., Smith D.J., Pavier M.J. Finite element micromechanical modelling of yield and collapse behaviour of metal matrix composites. J. Mech. Phys. Solids. 48:2000;499-528.
8. Maier G., Carvelli V., Cocchetti G. On direct methods for shakedown and limit analysis. Eur. J. Mech. A/Solids. 19:2000;S79-S100.
9. Tarn J.Q., Dvorak G.J., Rao M.S.M. Shakedown of unidirectional composites. Int. J. Solids Struct. 11:1975;751-764.
10. Dvorak G.J. Fatigue damage and shakedown metal matrix composite laminates. Mech. Compos. Mater. Struct. 1:1994;171-202.
11. Tirosh J. The dual shakedown conditions for dilute fibrous composites. J. Mech. Phys. Solids. 46:1998;167-185.
12. Ponter A.R.S., Leckie F.A. On the behaviour of metal matrix composites subjected to cyclic thermal loading. J. Mech. Phys. Solids. 46:1998;2183-2199.
13. Weichert D., Hachemi A., Schwabe F. Application of shakedown analysis to the plastic design of composites. Arch. Appl. Mech. 69:1999;623-633.
14. P. Suquet, Elements of homogenization for inelastic solid mechanics, in: E. Sanchez-Palencia, A. Zaoui (Eds.), Homogenization techniques for composite media, Lecture Notes in Physics 272, Springer, Berlin, 1987, pp. 193-278.
15. Nemat-Nasser S., Hori M. Micromechanics: Overall Properties of Heterogeneous Materials. 1993;North-Holland, Amsterdam.
16. Capsoni A., Corradi L. A finite element formulation of the rigid-plastic limit analysis problem. Int. J. Numer. Meth. Eng. 40:1997;2063-2086.
17. Capsoni A., Corradi L. A mixed finite element model for plane strain elastic-plastic analysis. Part I: Formulation and assessment of the overall behaviour. Comput. Methods Appl. Mech. Engrg. 141:1997;67-79.
18. Capsoni A., Corradi L. A mixed finite element model for plane strain elastic-plastic analysis. Part II: Application to the 4-node bilinear element. Comput. Methods Appl. Mech. Engrg. 141:1997;81-93.
19. Zhang Y.G. An iterative algorithm for kinematic shakedown analysis. Comput. Methods Appl. Mech. Engrg. 127:1995;217-226.
20. Carvelli V., Cen Z.Z., Liu Y., Maier G. Shakedown analysis of defective pressure vessels by a kinematic approach. Arch. Appl. Mech. 69:1999;751-764.
21. Hashin Z. Analysis of composite materials - a survey. J. Appl. Mech. 50:1983;481-505.
22. J.H. Argyris, Continua and discontinua, in: J.S. Przemieniecki (Ed.), Proceedings of 1st Conference on Matrix Methods in Structural Mechanics, Dayton, OH, 1965, pp. 11-92.
23. König J.A., Kleiber M. On a new method of shakedown analysis. Bull. Acad. Pol. Sci. - Ser. Sci. Tech. 26:1978;165-171.