3D elasticity solutions for stress field analysis of FGM circular plates subject to concentrated edge forces and couples

In this paper, the complex variable method is applied to study three-dimensional problems of transversely isotropic functionally graded circular plates subjected to concentrated edge forces and couples. To that end, the extended England–Spencer plate theory is adopted to obtain the general solutions...

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Veröffentlicht in:Acta mechanica Jg. 230; H. 8; S. 2655 - 2668
Hauptverfasser: Liu, N. W., Sun, Y. L., Chen, W. Q., Yang, B., Zhu, J.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Vienna Springer Vienna 01.08.2019
Springer
Springer Nature B.V
Schlagworte:
Analytic functions
Circular plates
Classical and Continuum Physics
Complex variables
Conformal mapping
Control
Dynamical Systems
Elasticity
Engineering
Engineering Fluid Dynamics
Engineering Thermodynamics
Functionally gradient materials
Heat and Mass Transfer
Husband and wife
Material properties
Numerical methods
Original Paper
Plate theory
Solid Mechanics
Stress distribution
Theoretical and Applied Mechanics
Vibration
ISSN:0001-5970, 1619-6937
Online-Zugang:Volltext
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Zusammenfassung:In this paper, the complex variable method is applied to study three-dimensional problems of transversely isotropic functionally graded circular plates subjected to concentrated edge forces and couples. To that end, the extended England–Spencer plate theory is adopted to obtain the general solutions of the governing equations in which four analytic functions α ( ζ ) , β ( ζ ) , ϕ ( ζ ) and ψ ( ζ ) are involved. The material properties can vary along the thickness direction in an arbitrary fashion. The cylindrical boundary of the plate is considered to be free which is well known as the first kind basic problem in plane elasticity. Four analytic functions can be determined by the Cauchy’s integral formula and conformal mapping technology. As a result, the 3D stress field is investigated for a transversely isotropic FGM circular plate whose cylindrical boundary is subjected to concentrated forces and couples. The proposed elasticity solutions can be used as benchmarks to validate solutions obtained based on various simplified plate theories or numerical methods.
Bibliographie:ObjectType-Article-1
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ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-019-02412-z