Axisymmetric bending of functionally graded circular and annular plates. (English) Zbl 0942.74044

Summary: Axisymmetric bending and stretching of functionally graded circular and annular circular plates is studied using the first-order shear deformation Mindlin plate theory. The solutions for deflections, force and moment resultants of the first-order theory are presented in terms of the corresponding quantities of isotropic plates based on the classical Kirchhoff plate theory. This gives the Mindlin solution for functionally graded circular plates whenever the Kirchhoff solution to the problem is known. Numerical results for displacements and stresses are presented for various percentages of ceramic-metal volume fractions.


74K20 Plates
74E30 Composite and mixture properties
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