ZHANG Ying, MEI Jing, CHEN Ding, YANG Bo. Elasticity Solutions for Functionally Graded Circular and Annular Plates Subjected to Boundary Forces and Moments[J]. Applied Mathematics and Mechanics, 2018, 39(5): 538-547. doi: 10.21656/1000-0887.380275
 Citation: ZHANG Ying, MEI Jing, CHEN Ding, YANG Bo. Elasticity Solutions for Functionally Graded Circular and Annular Plates Subjected to Boundary Forces and Moments[J]. Applied Mathematics and Mechanics, 2018, 39(5): 538-547.

# Elasticity Solutions for Functionally Graded Circular and Annular Plates Subjected to Boundary Forces and Moments

##### doi: 10.21656/1000-0887.380275
Funds:  The National Natural Science Foundation of China(11202188)
• Rev Recd Date: 2018-01-09
• Publish Date: 2018-05-15
• On the basis of the generalized England-Spencer plate theory, the 3D elastic fields of functionally graded circular and annular plates subjected to boundary forces were studied. The elastic constants of the material can be arbitrarily continuously variable along the thickness direction. Expressions of 4 complex potentials for solving the problem were given with the complex variable function method in which the undetermined constants were solved from the cylindrical boundary conditions of the plate. When the inner radius of the annular plate approaches zero, solutions of the annular plate reach to those of the corresponding circular plate. Numerical examples conducted show the effects of the material gradient, the load type and the thickness to radius ratio on the static responses of functionally graded plates.
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