Abstract
Thermal residual stresses in ceramic composite laminates are analyzed through both a micromechanical computational model and two macroscopic homogenized models. The microscopic model is based on a purposely developed hybrid finite element able to account for the shape of the Alumina and Zirconia grains. Two different macroscopic models have been used as reference solutions for comparison: a standard displacement-based three-dimensional finite element model and an analytical model. Stress concentration factors, accounting for the microscopic material heterogeneities, have been estimated by means of the Eshelby tensor and applied to the average stress field obtained through the homogenized models.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
D.J. Green (1999) ArticleTitle‘Residual stresses in alumina–zirconia laminates’ J. Eur. Ceram. Soc. 19 2511–2517
V. Sergo M. Lipkin G. Portu ParticleDe D.R. Clarke (1997) ArticleTitle‘Edge stresses in alumina/zirconia laminates’ J. Am. Ceram. Soc. 80 1633–1638
S. Ho C. Hillman F.F. Lange Z. Suo (1995) ArticleTitle‘Surface cracking in layers under biaxial, residual compressive stress’ J. Am. Ceram. Soc. 78 2353–2359
M. Savoia J.N. Reddy (1995) ArticleTitle‘Three-dimensional thermal analysis of laminated composite plates’ Int. J. Solids Struct. 32 593–608
Rufeng, L. and Xie, Z., ‘New finite element method for interlaminar stress analysis of composite laminates at free edge’, Comput. Mech. (1991) 1025–1030.
P. Gaudenzi A. Mannini R. Carbonaro (1998) ArticleTitle‘Multi-layer higher-order finite elements for the analysis of free-edge stresses in composite laminates’ Int. J. Numer. Meth. Eng. 41 851–873
G.J. Dvorak J. Zhang (2001) ArticleTitle‘Transformation field analyses of damage evolution in composite materials’ J. Mech. Phys. Solids 49 2517–2541
K. Matous (2003) ArticleTitle‘Damage evolution in particulate composite materials’ Int. J. Solids Struct. 40 1489–1503
C.H. Hsueh P.F. Becher (1996) ArticleTitle‘Residual thermal stresses in ceramic composites Part I: with ellipsoidal inclusions’. Mat. Sci. Eng. A – Struct.T A212 22–28
S.B. Biner (2001) ArticleTitle‘Thermo-elastic analisys of functionally graded materials using Voronoi elements’ Mat. Sci. Eng. A-Struct.T A315 136–146
S. Schmauder U. Weber (2001) ArticleTitle‘Modelling of functionally graded materials by numerical homogenization’ Arch. Appl. Mech. 71 182–192
K. Terada M. Hori T. Kyoya N. Kikuchi (2000) ArticleTitle‘Simulation of the multi-scale convergence in computational homogenization approaches’ Int. J. Solids Struct. 37 2285–2311
S. Ghosh K. Lee S. Moorthy (1995) ArticleTitle‘Multiple scale analisys of hetherogeneous elastic structures using homogenization theory and Vornoi cell finite element method’ Int. J. Solids Struct. 32 27–62
S. Ghosh S. Moorthy (1995) ArticleTitle‘Elastic-plastic analysis of arbitrary heterogeneous materials with the Voronoi cell finite element method’ Comput. Meth. Appl. Mech. Eng. 121 373–409
S. Moorthy S. Ghosh (2000) ArticleTitle‘Adaptivity and convergence in the Voronoi cell element model for analyzing heterogeneous materials’ Comput. Meth. Appl. Mech. Eng. 185 37–74
W. Becker P.P. Jin J. Lindemann (2001) ArticleTitle‘The free corner effect in thermally loaded laminates’ Compos. Struct. 52 97–102
T.L. Becker SuffixJr. R.L. Cannon R.O. Ritchie (2000) ArticleTitle‘An Approximate Method for Residual Stress Calculation in Functionally Graded Materials’ Mech. Mater. 22 85–97
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).
T. Chartier T. Rouxel (1997) ArticleTitle‘Tape-cast alumina-zirconia laminates: processing and mechanical properties’ J. Eur. Ceram. Soc. 17 299–308
Z. Hashin S. Shtrikman (1963) ArticleTitle‘A variational approach to the theory of the elastic behaviour of multiphase materials’ J. Mech. Phys. 11 127–140
P. Tong T.H.H. Pian (1969) ArticleTitle‘A variational principle and the convergence of a finite element method based on assumed stress distribution’ Int. J. Solids Struct. 5 73–83
S. Ghosh S.N. Mukhopadhyay (1993) ArticleTitle‘A Material based finite element analysis of heterogeneous media involving dirichlet tessellations’ Comput. Meth. Appl. Mech. Eng. 104 211–247
M. Grujicic Y. Zhang (1998) ArticleTitle‘Determination of effective elastic propeties of functionally graded materials using Voronoi cell finite element method’ Mat. Sci. Eng. A – Struct.T A251 64–76
A. Krell A. Teresiak D. Schlafer (1996) ArticleTitle‘Grain size dependent residual microstress in submicron Al2O3 and ZrO2’ J. Eur. Ceram. Soc. 16 803–811
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Vena, P. Thermal Residual Stresses in Graded Ceramic Composites: A Microscopic Computational Model Versus Homogenized Models. Meccanica 40, 163–179 (2005). https://doi.org/10.1007/s11012-005-3064-3
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s11012-005-3064-3