Nonlinear behavior of functionally graded circular plates with various boundary supports under asymmetric thermo-mechanical loading

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Title: Nonlinear behavior of functionally graded circular plates with various boundary supports under asymmetric thermo-mechanical loading
Authors: Fallah, F.1 fallah.famida@gmail.com, Nosier, A.2
Source: Composite Structures. Sep2012, Vol. 94 Issue 9, p2834-2850. 17p.
Subjects: Functionally gradient materials, Structural plates, Nonlinear statistical models, Boundary value problems, Mechanical loads, Thermophysical properties, Mechanical behavior of materials, Thickness measurement
Abstract: Abstract: The equilibrium equations of the first-order nonlinear von Karman theory for FG circular plates under asymmetric transverse loading and heat conduction through the plate thickness are reformulated into those describing the interior and edge-zone problems of the plate. A two parameter perturbation technique, in conjunction with Fourier series method is used to obtain analytical solutions for nonlinear behavior of functionally graded circular plates with various clamped and simply-supported boundary conditions. The material properties are graded through the plate thickness according to a power-law distribution of the volume fraction of the constituents. The results are verified with known results in the literature. The load–deflection curves for different loadings, boundary conditions, and material constant in a solid circular plate are studied and discussed. It is shown that the behavior of FG plates with clamped or simply-supported boundary conditions are completely different. Under thermo-mechanical loading, snap-through buckling behavior is observed in simply-supported FG plates which are immovable in radial direction. Moreover, it is found that linear theory is inadequate for analyzing FG and also homogenous plates with immovable boundary supports in radial direction and subjected to thermal loading, even for deflections that are normally considered small. [Copyright &y& Elsevier]
Copyright of Composite Structures is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Nonlinear behavior of functionally graded circular plates with various boundary supports under asymmetric thermo-mechanical loading
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  Data: <searchLink fieldCode="JN" term="%22Composite+Structures%22">Composite Structures</searchLink>. Sep2012, Vol. 94 Issue 9, p2834-2850. 17p.
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  Data: <searchLink fieldCode="DE" term="%22Functionally+gradient+materials%22">Functionally gradient materials</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+plates%22">Structural plates</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+statistical+models%22">Nonlinear statistical models</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanical+loads%22">Mechanical loads</searchLink><br /><searchLink fieldCode="DE" term="%22Thermophysical+properties%22">Thermophysical properties</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanical+behavior+of+materials%22">Mechanical behavior of materials</searchLink><br /><searchLink fieldCode="DE" term="%22Thickness+measurement%22">Thickness measurement</searchLink>
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  Label: Abstract
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  Data: Abstract: The equilibrium equations of the first-order nonlinear von Karman theory for FG circular plates under asymmetric transverse loading and heat conduction through the plate thickness are reformulated into those describing the interior and edge-zone problems of the plate. A two parameter perturbation technique, in conjunction with Fourier series method is used to obtain analytical solutions for nonlinear behavior of functionally graded circular plates with various clamped and simply-supported boundary conditions. The material properties are graded through the plate thickness according to a power-law distribution of the volume fraction of the constituents. The results are verified with known results in the literature. The load–deflection curves for different loadings, boundary conditions, and material constant in a solid circular plate are studied and discussed. It is shown that the behavior of FG plates with clamped or simply-supported boundary conditions are completely different. Under thermo-mechanical loading, snap-through buckling behavior is observed in simply-supported FG plates which are immovable in radial direction. Moreover, it is found that linear theory is inadequate for analyzing FG and also homogenous plates with immovable boundary supports in radial direction and subjected to thermal loading, even for deflections that are normally considered small. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of Composite Structures is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1016/j.compstruct.2012.03.029
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      – Code: eng
        Text: English
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        PageCount: 17
        StartPage: 2834
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        Type: general
      – SubjectFull: Structural plates
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      – SubjectFull: Nonlinear statistical models
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      – SubjectFull: Boundary value problems
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      – SubjectFull: Mechanical loads
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      – SubjectFull: Thermophysical properties
        Type: general
      – SubjectFull: Mechanical behavior of materials
        Type: general
      – SubjectFull: Thickness measurement
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      – TitleFull: Nonlinear behavior of functionally graded circular plates with various boundary supports under asymmetric thermo-mechanical loading
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              Text: Sep2012
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