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An improved solution to thermoelastic material design in functionally gradient materials: Scheme to reduce thermal stresses. (English) Zbl 0845.73006

Summary: Thermoelastic material design in functionally gradient materials, which reduces the thermal stresses induced in the materials by means of the direct sensitivity and optimization methods associated with the incremental thermoelastic/heat conduction finite element analysis, is generalized by allowing full spatial distribution in the volume fraction of the phases and nonlinear dependence of the material parameters on the volume fraction. Numerical illustration of the theory is given for material design in a hollow circular cylinder subjected to asymmetric heating on the inner boundary.

MSC:

74A15 Thermodynamics in solid mechanics
74S05 Finite element methods applied to problems in solid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)
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[1] ()
[2] Havner, K.S., The theory of finite plastic deformation of crystalline solids, (), 265-320 · Zbl 0513.73047
[3] Kröner, E., Statistical modelling, (), 229-291
[4] Mura, T., Micromechanics of defects in solids, (1987), Martinus Nijhoff Dordrecht
[5] Taya, M.; Arsenault, R.J., Metal matrix composites: thermomechanical behavior, (1989), Pergamon New York
[6] Böhm, H.J., Computer based micromechanical investigations of the thermomechanical behavior of metal matrix composites, (1991), VID Verlag Düsseldorf
[7] Tanaka, K.; Tanaka, Y.; Enomoto, K.; Poterasu, V.F.; Sugano, Y., Design of thermoelastic materials using direct sensitivity and optimization methods: reduction of thermal stresses in functionally gradient materials, Comput. methods appl. mech. engrg., 106, 271-284, (1993) · Zbl 0783.73043
[8] Dems, K.; Mroz, Z., Variational approach to sensitivity analysis in thermoelasticity, J. thermal stresses, 10, 283-306, (1987)
[9] Haftka, P.T.; Gürdal, Z.; Kamat, M.P., Elements of structural optimization, (1990), Kluwer Academic Publishers Dordrecht · Zbl 0702.73047
[10] Wakashima, K.; Tsukamoto, H.; Choi, B.H., Elastic and thermoelastic properties of metal matrix composites with discontinuous fibers or particles: theoretical guidelines toward materials tailoring, (), 102-115
[11] Wakashima, K.; Tsukamoto, H., Micromechanical approach to the thermomechanics of ceramic-metal gradient materials, (), 19-26
[12] Wakashima, K.; Sukamoto, H.T., Micromechanical approach toward thermomechanical tailoring of metal matrix composites, ISIJ internat., 32, 883-892, (1992)
[13] Sugano, Y.; Kataoka, S.; Tanaka, K., An analysis of transient thermal stresses in a hollow circular cylinder of functionally gradient material with temperature-dependent material properties, Trans. Japan soc. mech. engrg., 59, (1993), in press.
[14] Mamdani, E., Advances in the linguistic synthesis of fuzzy controllers, Internat. J. man-machine studies, 8, 669-679, (1976) · Zbl 0344.68028
[15] Hirano, T.; Teraki, J.; Yamada, T., On the design of functionally gradient materials, (), 5-10
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