Thermoelastic buckling analysis of plates and shells of temperature and porosity dependent functionally graded materials

This study aims to explore for the first time the thermoelastic buckling behavior of functionally graded porous plates and shells using an efficient finite element model based on the first-order shear deformation theory (FSDT) with the improvement of the shear strains via the introduction of a quadr...

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Veröffentlicht in:Mechanics of time-dependent materials Jg. 28; H. 3; S. 817 - 859
Hauptverfasser: Joueid, Najah, Zghal, Souhir, Chrigui, Mouldi, Dammak, Fakhreddine
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Dordrecht Springer Netherlands 01.09.2024
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ISSN:1385-2000, 1573-2738
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Abstract This study aims to explore for the first time the thermoelastic buckling behavior of functionally graded porous plates and shells using an efficient finite element model based on the first-order shear deformation theory (FSDT) with the improvement of the shear strains via the introduction of a quadratic function that able to take into account the parabolic distribution of transverse shear stresses without any need of shear correction factors as standard (FSDT) theory. In this research, different sets of functionally graded metal/ceramic combinations, as well as porosity distributions, namely uniform (or even) and random (or uneven) porosity patterns, are also considered, and the effective material properties of the graded porous structure are determined via a modified power-law function. Two types of applied thermal loads are considered, namely Uniform and nonuniform thermal load (UT, NUT) with temperature-dependent (TD) and independent (TID) mechanical properties. The Green-Lagrange formulation, variational method, and a numerical iterative algorithm are applied to solve the governing equations with porosity and thermal dependent coefficients. To verify our results, various numerical comparisons are conducted on critical temperature buckling of plates and spherical shells, and they are compared with available results where a close correlation is observed. The influence of thermal loads, porosity volume fraction, types of porosity patterns, temperature dependency, and geometrical aspects on the thermal buckling behavior of FG porous plates and shells are scrutinized through different parametric studies.
AbstractList This study aims to explore for the first time the thermoelastic buckling behavior of functionally graded porous plates and shells using an efficient finite element model based on the first-order shear deformation theory (FSDT) with the improvement of the shear strains via the introduction of a quadratic function that able to take into account the parabolic distribution of transverse shear stresses without any need of shear correction factors as standard (FSDT) theory. In this research, different sets of functionally graded metal/ceramic combinations, as well as porosity distributions, namely uniform (or even) and random (or uneven) porosity patterns, are also considered, and the effective material properties of the graded porous structure are determined via a modified power-law function. Two types of applied thermal loads are considered, namely Uniform and nonuniform thermal load (UT, NUT) with temperature-dependent (TD) and independent (TID) mechanical properties. The Green-Lagrange formulation, variational method, and a numerical iterative algorithm are applied to solve the governing equations with porosity and thermal dependent coefficients. To verify our results, various numerical comparisons are conducted on critical temperature buckling of plates and spherical shells, and they are compared with available results where a close correlation is observed. The influence of thermal loads, porosity volume fraction, types of porosity patterns, temperature dependency, and geometrical aspects on the thermal buckling behavior of FG porous plates and shells are scrutinized through different parametric studies.
Author Joueid, Najah
Dammak, Fakhreddine
Chrigui, Mouldi
Zghal, Souhir
Author_xml – sequence: 1
  givenname: Najah
  surname: Joueid
  fullname: Joueid, Najah
  organization: Modeling, Mechanics, Energetic and Materials (M2EM) Unit, National Engineering School of Gabes, Av. Omar Ibn El Khattab, Zrig Eddakhlania, University of Gabes
– sequence: 2
  givenname: Souhir
  surname: Zghal
  fullname: Zghal, Souhir
  email: souhirzghal@yahoo.fr
  organization: Modeling, Mechanics, Energetic and Materials (M2EM) Unit, National Engineering School of Gabes, Av. Omar Ibn El Khattab, Zrig Eddakhlania, University of Gabes
– sequence: 3
  givenname: Mouldi
  surname: Chrigui
  fullname: Chrigui, Mouldi
  organization: Modeling, Mechanics, Energetic and Materials (M2EM) Unit, National Engineering School of Gabes, Av. Omar Ibn El Khattab, Zrig Eddakhlania, University of Gabes
– sequence: 4
  givenname: Fakhreddine
  surname: Dammak
  fullname: Dammak, Fakhreddine
  organization: Laboratory of Electrochemistry and Environment (LEE), National Engineering School of Sfax, ENIS, University of Sfax
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Keywords Porosity
Functionally graded
FSDT
Buckling
Temperature-dependent
Finite element
Language English
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PublicationSubtitle An International Journal Devoted to the Time-Dependent Behaviour of Materials and Structures
PublicationTitle Mechanics of time-dependent materials
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  doi: 10.1016/j.compositesb.2020.108376
– year: 2023
  ident: 9644_CR8
  publication-title: Curved Layered Struct.
  doi: 10.1515/cls-2022-0195
– volume: 24
  start-page: 1177
  year: 2001
  ident: 9644_CR10
  publication-title: J. Therm. Stresses
  doi: 10.1080/014957301753251746
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Snippet This study aims to explore for the first time the thermoelastic buckling behavior of functionally graded porous plates and shells using an efficient finite...
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SubjectTerms Characterization and Evaluation of Materials
Classical Mechanics
Engineering
Polymer Sciences
Solid Mechanics
Title Thermoelastic buckling analysis of plates and shells of temperature and porosity dependent functionally graded materials
URI https://link.springer.com/article/10.1007/s11043-023-09644-6
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