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Definition of features of internal force factors functionally graded plates

Author:

Igor Bokov and Elena Strelnikova

Subject Area:

Physical Sciences and Engineering

Abstract:

The behavior of a plate of the functionally graded material under concentrated loads was under consideration. Using the method of decomposition of the desired functions in series by Legendre polynomials on the transverse coordinate, three-dimensional problem for plates was reduced to a two-dimensional one. This approach has allowed us to take into account the transverse shear and normal stresses. On the basis of received equations, using the two-dimensional Fourier integral transform and the generalization method that was built with a special G-function, the fundamental solution was found. Numerical studies demonstrated the behavior patterns of the stress-strain state components depending on the elastic constants of functionally graded material were performed.

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