In this paper, the size-dependent responses of functionally graded (FG) porous microbeams using a quasi-3D theory and the modified strain gradient theory are investigated. Three different porosity distribution models of the FG porous microbeams are considered. By using the rule of mixture, all material properties including the material length scale parameters (MLSPs) are functions of the thickness, porosity coefficient and gradient index. The size-dependent governing equations are derived, and beam element is used to solve the problems. The verification of the proposed model is carried out and the effects of variable MLSP, porosity coefficient, gradient index and boundary conditions on the structural responses of FG porous microbeams are investigated. It can be observed that the effect of variable MLSP is significant and should be included for an accuracy analysis of the FG porous microbeams.
机构:
King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi ArabiaKing Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
Al-Basyouni, K. S.
;
Tounsi, Abdelouahed
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Univ Djillali Liabes Sidi Bel Abbes, Mat & Hydrol Lab, Fac Technol, Dept Civil Engn, Sidi Bel Abbes, AlgeriaKing Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
Tounsi, Abdelouahed
;
Mahmoud, S. R.
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King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
Univ Sohag, Fac Sci, Dept Math, Sohag, EgyptKing Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
机构:
King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi ArabiaKing Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
Al-Basyouni, K. S.
;
Tounsi, Abdelouahed
论文数: 0引用数: 0
h-index: 0
机构:
Univ Djillali Liabes Sidi Bel Abbes, Mat & Hydrol Lab, Fac Technol, Dept Civil Engn, Sidi Bel Abbes, AlgeriaKing Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
Tounsi, Abdelouahed
;
Mahmoud, S. R.
论文数: 0引用数: 0
h-index: 0
机构:
King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
Univ Sohag, Fac Sci, Dept Math, Sohag, EgyptKing Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia