Thermal residual stresses in graded ceramic composites: A microscopic computational model versus homogenized models

Meccanica

Volumn 40, Issue 2, 2005, Pages 163-179

  Vena, P ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

Ceramic composites; Layered structures; Micromechanical finite element analysis

Indexed keywords

FINITE ELEMENT METHOD; RESIDUAL STRESSES; STRESS CONCENTRATION; STRESS INTENSITY FACTORS; THERMAL EXPANSION; THERMAL STRESS; THERMOANALYSIS; ZIRCONIA;

CERAMIC COMPOSITES; CERAMIC LAMINATES; LAYERED STRUCTURES; MICROMECHANICAL FINITE ELEMENT ANALYSIS;

CERAMIC MATRIX COMPOSITES;

EID: 23744484227     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11012-005-3064-3     Document Type: Article

References (24)

1. Green, D.J., 'Residual stresses in alumina-zirconia laminates', J. Eur. Ceram. Soc. 19 (1999) 2511-2517.
2. Sergo, V., Lipkin, M., De Portu, G. and Clarke, D.R., 'Edge stresses in alumina/zirconia laminates', J. Am. Ceram. Soc. 80 (1997) 1633-1638.
3. Ho, S., Hillman, C., Lange, F.F. and Suo, Z., 'Surface cracking in layers under biaxial, residual compressive stress', J. Am. Ceram. Soc. 78 (1995) 2353-2359.
4. Savoia, M. and Reddy, J.N., 'Three-dimensional thermal analysis of laminated composite plates', Int. J. Solids Struct. 32 (1995) 593-608.
5. Rufeng, L. and Xie, Z., 'New finite element method for interlaminar stress analysis of composite laminates at free edge', Comput. Mech. (1991) 1025-1030.
6. Gaudenzi, P., Mannini, A. and Carbonaro, R., 'Multi-layer higher-order finite elements for the analysis of free-edge stresses in composite laminates', Int. J. Numer. Meth. Eng. 41 (1998) 851-873.
7. Dvorak, G.J. and Zhang, J., 'Transformation field analyses of damage evolution in composite materials', J. Mech. Phys. Solids 49 (2001) 2517-2541.
8. Matous, K., 'Damage evolution in particulate composite materials', Int. J. Solids Struct. 40 (2003) 1489-1503.
9. Hsueh, C.H. and Becher, P.F., 'Residual thermal stresses in ceramic composites. Part I: with ellipsoidal inclusions', Mat. Sci. Eng. A - Struct.T A212 (1996) 22-28.
10. Biner, S.B., 'Thermo-elastic analisys of functionally graded materials using Voronoi elements', Mat. Sci. Eng. A-Struct.T A315 (2001) 136-146.
11. Schmauder, S. and Weber, U., 'Modelling of functionally graded materials by numerical homogenization', Arch. Appl. Mech. 71 (2001) 182-192.
12. Terada, K., Hori, M., Kyoya, T. and Kikuchi, N. 'Simulation of the multi-scale convergence in computational homogenization approaches', Int. J. Solids Struct. 37 (2000) 2285-2311.
13. Ghosh, S., Lee, K. and Moorthy, S., 'Multiple scale analisys of hetherogeneous elastic structures using homogenization theory and Vornoi cell finite element method', Int. J. Solids Struct. 32 (1995) 27-62.
14. Ghosh, S. and Moorthy, S., 'Elastic-plastic analysis of arbitrary heterogeneous materials with the Voronoi cell finite element method', Comput. Meth. Appl. Mech. Eng. 121 (1995) 373-409.
15. Moorthy, S. and Ghosh, S., 'Adaptivity and convergence in the Voronoi cell element model for analyzing heterogeneous materials', Comput. Meth. Appl. Mech. Eng., 185 (2000) 37-74.
16. Becker, W., Jin, P.P. and Lindemann, J., 'The free corner effect in thermally loaded laminates', Compos. Struct. 52 (2001) 97-102.
17. Becker, Jr. T.L., Cannon, R.L. and Ritchie R.O., 'An Approximate Method for Residual Stress Calculation in Functionally Graded Materials', Mech. Mater. 22 (2000) 85-97.
18. Vena, P., Gastaldi D. and Contro R., 'Mechanical properties of graded ceramic composites for biomedical applications, a computational approach' (in Italian). Proc. of XVII Italian Congress of Theoretical and Applied Mechanics (AIMETA),CD-rom,(2003).
19. Chartier, T. and Rouxel, T., 'Tape-cast alumina-zirconia laminates: processing and mechanical properties', J. Eur. Ceram. Soc. 17 (1997) 299-308.
20. Hashin, Z. and Shtrikman, S., 'A variational approach to the theory of the elastic behaviour of multiphase materials', J. Mech. Phys. 11 (1963) 127-140.
21. Tong, P. and Pian, T.H.H., 'A variational principle and the convergence of a finite element method based on assumed stress distribution', Int. J. Solids Struct. 5 (1969) 73-83.
22. Ghosh, S. and Mukhopadhyay, S.N., 'A Material based finite element analysis of heterogeneous media involving dirichlet tessellations'. Comput. Meth. Appl. Mech. Eng. 104 (1993) 211-247.
23. Grujicic, M. and Zhang, Y., 'Determination of effective elastic propeties of functionally graded materials using Voronoi cell finite element method', Mat. Sci. Eng. A - Struct.T A251 (1998) 64-76.
24. 2', J. Eur. Ceram. Soc. 16 (1996) 803-811.