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.


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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