3D elasticity solution for uniformly loaded elliptical plates of functionally graded materials using complex variables method

• Published in: Archive of applied mechanics (1991) Vol. 88; no. 10; pp. 1829 - 1841
• Main Authors: Yang, Y. W., Zhang, Y., Chen, W. Q., Yang, B., Yang, Q. Q.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2018; Springer Nature B.V
• Subjects: Analytic functions; Boundary conditions; Classical Mechanics; Complex variables; Deformation effects; Elasticity; Elliptical plates; Engineering; Functionally gradient materials; Material properties; Original; Theoretical and Applied Mechanics; Elasticity solutions; Elliptical plates; Functionally graded materials; Complex variables method

Based on the generalized England’s method, the three-dimensional elastic response in a transversely isotropic functionally graded elliptical plate with clamped edge subject to uniform load is investigated. The material properties can arbitrarily vary along the thickness direction of the plate. The e...