Thermomechanical bending response of FGM thick plates resting on Winkler-Pasternak elastic foundations

By Bachir Bouderba, Mohammed Sid Ahmed Houari, Abdelouahed Tounsi. 2013

320 citations recorded by the source corpus.

The present work deals with the thermomechanical bending response of functionally graded plates resting on Winkler-Pasternak elastic foundations. Theoretical formulations are based on a recently developed refined trigonometric shear deformation theory (RTSDT). The theory accounts for trigonometric distribution of transverse shear stress, and satisfies the free transverse shear stress conditions on the top and bottom surfaces of the plate without using shear correction factor. Unlike the conventional trigonometric shear deformation theory, the present refined trigonometric shear deformation theory contains only four unknowns as against five in case of other shear deformation theories. The material properties of the functionally graded plates are assumed to vary continuously through the thickness, according to a simple power law distribution of the volume fraction of the constituents. The elastic foundation is modelled as twoparameter Pasternak foundation. The results of the shear deformation theories are compared together. Numerical examples cover the effects of the gradient index, plate aspect ratio, side-to-thickness ratio and elastic foundation parameters on the thermomechanical behavior of functionally graded plates. It can be concluded that the proposed theory is accurate and efficient in predicting the thermomechanical bending response of functionally graded plates.

Subfields: Civil and Structural Engineering, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/8492a8c6a507b2421c5daabacc442d660dc81411

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Citations in the corpus

A new simple three-unknown sinusoidal shear deformation theory for functionally graded plates (2016, background): “…Touratier 1991, Zenkour 2006, Soldatos 1992, Karama et al. 2003, Pradyumna and Bandyopadhyay 2008, Jha et al. 2013, Bachir Bouiadjra et al. 2013, Bouderba et al. 2013, Tounsi et al. 2013, Ait Amar Meziane et al. 2014, Attia et al. 2014, Hamidi et al. 2015, Mahi et al. 2015, Bourada et al. 2015,…”
A new simple shear and normal deformations theory for functionally graded beams (2015, background): “…third-order theory of Reddy (Reddy 1984, Yesilce 2010, Yesilce and Catal 2009, 2011), the sinusoidal theories (Touratier 1991, Tounsi et al. 2013a, Bouderba et al. 2013, Bachir Bouiadjra et al. 2013, Ait Amar Meziane et al. 2014, Draiche et al. 2014), the hyperbolic theories (Soldatos 1992, El…”
Bending and free vibration analysis of functionally graded plates using a simple shear deformation theory and the concept the neutral surface position (2015, methodology): “Material non-homogeneous properties of a functionally graded material beam may be obtained by means of the Voigt rule of mixture [26–33].”
On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model (2015, background): “…al. 2014, Klouche Djedid et al. 2014, Nedri et al. 2014, Zidi et al. 2014, Sadoune et al. 2014, Tounsi et al. 2013d, Bachir Bouiadjra et al. 2013, Bouderba et al. 2013, Kettaf et al. 2013, Bachir Bouiadjra et al. 2012, Bourada et al. 2012, El Meiche et al. 2011) studied a series of buckling,…”
A sinusoidal plate theory with 5-unknowns and stretching effect for thermomechanical bending of functionally graded sandwich plates (2015, background): “…are Reddy and Chin (1998), Matsunaga (2008, 2009), Benachour et al. (2011), Xiang and Kang (2013), Bachir Bouiadjra et al. (2013), Bakhti et al. (2013), Bouderba et al. 2013), Zenkour and Sobhy (2013), Sobhy (2013), Klouche Djedid et al. (2014), Yaghoobi and Fereidoon (2014) and Zidi et al. (2014).”
Thermal buckling and postbuckling of functionally graded graphene nanocomposite plates (2017, background): “Numerous studies have demonstrated the importance of thermal effects on the mechanical response of FGM structures, such as [41-48], among many others.”
A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation (2016, background): “…graded materials (FGMs) have been speared in various engineering applications (El Meiche et al. 2011, Bourada et al. 2012, Tounsi et al. 2013c, Bouderba et al. 2013, Yaghoobi and Torabi 2013, Ould Larbi et al. 2013, Chakraverty and Pradhan 2014, Liang et al. 2014, Zidi et al. 2014, Khalfi et…”
Thermal analysis of FGM plates – A critical review of various modeling techniques and solution methods (2017, background): “Tounsi and co-authors adopted a new four variable refined theory to study the bending behaviour of FGM plates subjected to thermomechanical loads with [126] or without [92,127] resting on elastic foundations.”
Effect of thickness stretching and porosity on mechanical response of a functionally graded beams resting on elastic foundations (2017, methodology): “Recently, by employing a novel four variables refined plate theory against five in case of other shear deformation theories, some studies (Fekrar et al. 2012; Bouderba et al. 2013; Kettaf et al. 2013; Tounsi et al. 2013; Ait Amar Meziane et al. 2014; Zidi et al. 2014; Nedri et al. 2014) investigated”
Influences of porosity on dynamic response of FG plates resting on Winkler/Pasternak/Kerr foundation using quasi 3D HSDT (2019, unknown): “2009, Bouderba et al .”