Abstract

International Journal of Computational Engineering ScienceVol. 05, No. 04, pp. 893-911 (2004) No AccessTHERMO-ELASTO-PLASTIC STRESSES IN FUNCTIONALLY GRADED CERAMIC/METAL COMPOSITES WITH TWO-DIMENSIONAL TEMPERATURE GRADIENTY. M. SHABANA and N. NODAY. M. SHABANAMechanical Design Department, Faculty of Engineering, El-Mataria, P. O. Box 11718, Cairo, Egypt Search for more papers by this author and N. NODAMechanical Engineering Department, Faculty of Engineering, Shizuoka University, Johoku, Hamamatsu, 432-8561, Japan Search for more papers by this author https://doi.org/10.1142/S146587630400271XCited by:4 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail AbstractBy utilizing the finite element method, the macroscopic as well as the microscopic thermal stress behaviors of a functionally graded material rectangular plate (FGP) subjected to partial heating conditions in a transient state are presented. The FGP has non-homogeneous thermal and mechanical material properties in the thickness direction, and consists of the particle-reinforced composite in the regions near both surfaces and a composite mixture in the intermediate region. A microscopic constitutive equation and the macroscopic analysis are used to treat the particle-reinforced regions and the intermediate region, respectively. Therefore, the FGP is analyzed by a combination of the macroscopic and the microscopic analyses. The elasto-plasticity and the temperature-dependent properties of the constituent materials as well as the residual stresses arising from the fabrication process are taken into account. The effects of the heating length of the partial heating conditions and the non-homogeneity function of the constituents are discussed in order to find out the optimum form of the gradation function for the FGM subjected to partial heating conditions in transient state. The two-dimensional transient temperature and two-dimensional transient thermal stresses, which include the macroscopic and microscopic components, for the FGP are analyzed and shown in figures. The character (tension or compression) of the macroscopic stresses is dependent on the functional form of gradation.Keywords:Thermo-elasto-plastic stressfunctionally graded material platemicroscopic thermo-elasto-plastic constitutive equationstwo-dimensional temperature gradient References T. Maruyamaet al., Ceramic Transactions, Functionally Graded Materials 34, eds. J. B. Holtet al. (The American Ceramic Society, 1993) p. 433. Google ScholarM. Takahashi, Y. Itoh and H. Kashiwaya, Fabrication and evaluation of W/CU gradient material by sintering and infiltration technique, Proc. First International Symp. FGM (Sendai, 1990) p. 129. Google ScholarY. Tanigawaet al., J. of Thermal Stresses 19, 77 (1996). Crossref, Google ScholarN. Noda, J. of Thermal Stresses 22, 477 (1999). Crossref, Google ScholarY. Obata and N. Noda, Ceramic Transactions, Functionally Graded Materials 34, eds. J. B. Holtet al. (The American Ceramic Society, 1993) p. 403. Google ScholarD. Delfosse, N. Cherradi and B. Iischner, Influence of residual stresses on the tensile behavior of a CU-NI FGM, Proc. Third Int. Symp. on Functionally Gradient Materials (Switzerland, 1994) p. 307. Google ScholarN. Noda and T. Tsuji, Steady thermal stresses in a plate of functionally gradient material, Proc. First Int. Symp. on Functionally Gradient Materials (Sendai, 1990) p. 339. Google ScholarY. M. Shabana, N. Noda and K. Thogo, JSME Int. J., Ser. A 44, 362 (2001). Crossref, Google ScholarY. Tanigawa, Y. Ootao and T. Takahara, JSME 58(549), 712 (1992). Crossref, Google ScholarY. Tanigawaet al., JSME 61(584), 784 (1995). Crossref, Google ScholarY. Tanigawa, K. Nagayama and R. Kawamura, JSME 61(592), 2605 (1995). Crossref, Google ScholarS. Takezonoet al., JSME Series A 39(4), 573 (1996). Google Scholar Teraki, J., Hirano, T., Development of two dimensional FEM program for an analysis of transient thermal stress in FGM, Japanese FGM 91, KSP Hall, October 8-9, 209, (1991) . Google ScholarT. Fuchiyamaet al., JSME 59(564), 1925 (1993). Crossref, Google ScholarA. Asakawaet al., JSME 60(575), 1632 (1994). Crossref, Google ScholarN. Noda, S. Nakai and T. Tsuji, JSME International Journal, Series A 41(2), 178. Crossref, Google ScholarY. M. Shabana and N. Noda, Composites, Part B: Engineering 32, 111 (2001). Crossref, Google ScholarY. M. Shabana and N. Noda, Journal of Thermal Stresses 24(8), 799 (2001). Google Scholar G. W. Rowe et al. , Finite element plasticity and metalforming analysis ( Cambridge University Press , 1991 ) . Crossref, Google Scholar FiguresReferencesRelatedDetailsCited By 4The effect of oblique functional gradation to transient thermal stresses in the functionally graded infinite stripManabu Ohmichi, Naotake Noda and Masayuki Ishihara27 November 2009 | Acta Mechanica, Vol. 212, No. 3-4Plane Thermoelastic Problem in a Functionally Graded Plate with an Oblique Boundary to the Functional Graded DirectionManabu Ohmichi and Naotake Noda5 Jul 2007 | Journal of Thermal Stresses, Vol. 30, No. 8Two-Dimensional Heat Conduction Problem in a Functionally Graded Plate with a Slanting Boundary to the Functional GradationManabu Ohmichi and Naotake Noda10 May 2007 | Journal of Thermal Stresses, Vol. 30, No. 7Plane Thermal Stresses in a Functionally Graded Plate Subjected to a Partial HeatingM. Ohmichi and N. Noda22 November 2006 | Journal of Thermal Stresses, Vol. 29, No. 12 Recommended Vol. 05, No. 04 Metrics History KeywordsThermo-elasto-plastic stressfunctionally graded material platemicroscopic thermo-elasto-plastic constitutive equationstwo-dimensional temperature gradientPDF download

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call