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Isogeometric analysis for size-dependent nonlinear thermal stability of porous FG microplates

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Abstract
In this article, we present for the first time a research analysis for the size-dependent effects on thermal buckling and post-buckling behaviors of functionally graded material micro-plates with porosities (imperfect FGM) using isogeometric analysis. A seventh-order shear deformation plate theory associated with the modified couple stress theory (MCST) is particularly imposed to capture the size-dependent phenomenon within imperfect FGM microplates. The material properties of imperfect FGM micro-plates with three different distributions of porosities including even, uneven and logarithmic-uneven varying across the plate thickness are derived from the modified rule-of-mixture assumption. The nonlinear governing equation for size-dependent imperfect FGM micro-plate under uniform, linear and nonlinear temperature rise is derived using the Von-Karman assumption and Hamilton's principle. Through numerical example, the effect of temperature rise, boundary conditions, power index, porosity volume fraction, porosity distribution pattern and material length scale parameter on thermal buckling and post-buckling behaviors of FGP micro-plates are investigated.
Keywords
Civil and Structural Engineering, Ceramics and Composites, Porosity, Size-dependent, Functionally graded material micro-plates, Thermal buckling, Thermal post-buckling, Modified couple stress theory, Imperfect, FUNCTIONALLY GRADED MATERIALS, SHEAR DEFORMATION-THEORY, VIBRATION ANALYSIS, POSTBUCKLING ANALYSIS, THERMOELASTIC STABILITY, BUCKLING ANALYSIS, PLATES, BEAMS, MODEL, ELASTICITY

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MLA
Le, Thanh Cuong, et al. “Isogeometric Analysis for Size-Dependent Nonlinear Thermal Stability of Porous FG Microplates.” COMPOSITE STRUCTURES, vol. 221, Elsevier, 2019, doi:10.1016/j.compstruct.2019.04.010.
APA
Le, T. C., Tran, L. V., Bui, T. Q., Nguyen, H. X., & Abdel Wahab, M. (2019). Isogeometric analysis for size-dependent nonlinear thermal stability of porous FG microplates. COMPOSITE STRUCTURES, 221. https://doi.org/10.1016/j.compstruct.2019.04.010
Chicago author-date
Le, Thanh Cuong, Loc V. Tran, Tinh Quoc Bui, Hoang X. Nguyen, and Magd Abdel Wahab. 2019. “Isogeometric Analysis for Size-Dependent Nonlinear Thermal Stability of Porous FG Microplates.” COMPOSITE STRUCTURES 221. https://doi.org/10.1016/j.compstruct.2019.04.010.
Chicago author-date (all authors)
Le, Thanh Cuong, Loc V. Tran, Tinh Quoc Bui, Hoang X. Nguyen, and Magd Abdel Wahab. 2019. “Isogeometric Analysis for Size-Dependent Nonlinear Thermal Stability of Porous FG Microplates.” COMPOSITE STRUCTURES 221. doi:10.1016/j.compstruct.2019.04.010.
Vancouver
1.
Le TC, Tran LV, Bui TQ, Nguyen HX, Abdel Wahab M. Isogeometric analysis for size-dependent nonlinear thermal stability of porous FG microplates. COMPOSITE STRUCTURES. 2019;221.
IEEE
[1]
T. C. Le, L. V. Tran, T. Q. Bui, H. X. Nguyen, and M. Abdel Wahab, “Isogeometric analysis for size-dependent nonlinear thermal stability of porous FG microplates,” COMPOSITE STRUCTURES, vol. 221, 2019.
@article{8612792,
  abstract     = {In this article, we present for the first time a research analysis for the size-dependent effects on thermal buckling and post-buckling behaviors of functionally graded material micro-plates with porosities (imperfect FGM) using isogeometric analysis. A seventh-order shear deformation plate theory associated with the modified couple stress theory (MCST) is particularly imposed to capture the size-dependent phenomenon within imperfect FGM microplates. The material properties of imperfect FGM micro-plates with three different distributions of porosities including even, uneven and logarithmic-uneven varying across the plate thickness are derived from the modified rule-of-mixture assumption. The nonlinear governing equation for size-dependent imperfect FGM micro-plate under uniform, linear and nonlinear temperature rise is derived using the Von-Karman assumption and Hamilton's principle. Through numerical example, the effect of temperature rise, boundary conditions, power index, porosity volume fraction, porosity distribution pattern and material length scale parameter on thermal buckling and post-buckling behaviors of FGP micro-plates are investigated.},
  articleno    = {110838},
  author       = {Le, Thanh Cuong and Tran, Loc V. and Bui, Tinh Quoc and Nguyen, Hoang X. and Abdel Wahab, Magd},
  issn         = {0263-8223},
  journal      = {COMPOSITE STRUCTURES},
  keywords     = {Civil and Structural Engineering,Ceramics and Composites,Porosity,Size-dependent,Functionally graded material micro-plates,Thermal buckling,Thermal post-buckling,Modified couple stress theory,Imperfect,FUNCTIONALLY GRADED MATERIALS,SHEAR DEFORMATION-THEORY,VIBRATION ANALYSIS,POSTBUCKLING ANALYSIS,THERMOELASTIC STABILITY,BUCKLING ANALYSIS,PLATES,BEAMS,MODEL,ELASTICITY},
  language     = {eng},
  pages        = {14},
  publisher    = {Elsevier},
  title        = {Isogeometric analysis for size-dependent nonlinear thermal stability of porous FG microplates},
  url          = {http://dx.doi.org/10.1016/j.compstruct.2019.04.010},
  volume       = {221},
  year         = {2019},
}

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