Abstract
Thermal residual stresses in functionally graded materials (FGMs) arise primarily from nonlinear spatial variations in the thermal expansion coefficient, but can be significantly adjusted by variations in modulus. Thermoelastic analysis of FGMs is complicated by such modulus gradients. A class of problems for which thermal stress solutions for materials with constant modulus can be used as a basis for approximations for FGMs is discussed. The size of the error in this approximation due to gradients in elastic modulus is investigated. Analytical and finite element solutions for the thermal stresses in various FGM geometries are compared to results from this approximate method. In a geometry of practical interest, a right cylinder graded along the z-axis, the error for a Ni–Al 2O 3 FGM was found to be within 15% for all gradients considered. The form of the approximation makes it easier to identify desirable types of spatial nonlinearity in expansion coefficient and variations in modulus; this would allow the manipulation of the location of compressive stresses.
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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
