A sinusoidal plate theory with 5-unknowns and stretching effect for thermomechanical bending of functionally graded sandwich plates

By A. Hamidi, Mohammed Sid Ahmed Houari, S. R. Mahmoud, Abdelouahed Tounsi. Steel and composite structures, 2015

234 citations recorded by the source corpus.

In this research, a simple but accurate sinusoidal plate theory for the thermomechanical bending analysis of functionally graded sandwich plates is presented. The main advantage of this approach is that, in addition to incorporating the thickness stretching effect, it deals with only 5 unknowns as the first order shear deformation theory (FSDT), instead of 6 as in the well-known conventional sinusoidal plate theory (SPT). The material properties of the sandwich plate faces are assumed to vary according to a power law distribution in terms of the volume fractions of the constituents. The core layer is made of an isotropic ceramic material. Comparison studies are performed to check the validity of the present results from which it can be concluded that the proposed theory is accurate and efficient in predicting the thermomechanical behavior of functionally graded sandwich plates. The effect of side-to-thickness ratio, aspect ratio, the volume fraction exponent, and the loading conditions on the thermomechanical response of functionally graded sandwich plates is also investigated and discussed.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/627b507917b7dc412d7a349146a35544045ced0d

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Citations in the corpus

On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model (2015, background): “The formulation lends itself particularly well in analysing nanostructures with including the stretching effect (Larbi Chaht et al. 2015, Hamidi et al. 2015, Belabed et al. 2014, Fekrar et al. 2014, Hebali et al. 2014, Bourada et al. 2015, Houari et al. 2013, Saidi et al. 2013, Bessaim et al. 2013)…”
An analytical solution for bending, buckling and vibration responses of FGM sandwich plates (2019, background): “[38] presented a sinusoidal plate theory with five unknowns and stretching effect for thermo-mechanical bending of FG sandwich plates.”
A new simple three-unknown sinusoidal shear deformation theory for functionally graded plates (2016, methodology): “…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, Akavci 2015, Mantari et al. 2016, Amirpour et al. 2016, Bennoun et al. 2016, Bouderba et…”
Size-dependent mechanical behavior of functionally graded trigonometric shear deformable nanobeams including neutral surface position concept (2016, background): “…of the Voigt rule of mixture (Eltaher et al. 2012, Bourada et al. 2012, Larbi Chaht et al. 2015, Tounsi et al. 2013a, Bouderba et al. 2013, Hebali et al. 2014, Zidi et al. 2014, Bakora and Tounsi 2015, Hamidi et al. 2015, Mahi et al. 2015, Akbaş, 2015, Bennoun et al. 2016, Salima et al. 2016).”
A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation (2016, background): “…Liang et al. 2014, Zidi et al. 2014, Khalfi et al. 2014, Fekrar et al. 2014, Bousahla et al. 2014, Belabed et al. 2014, Ait Amar Meziane et al. 2014, Hebali et al. 2014, Hamidi et al. 2015, Ait Yahia et al. 2015, Ait Atmane et al. 2015, Ziane et al. 2015, Bennai et al. 2015, Bouchafa et al. 2015).”
Wave propagation analysis of quasi-3D FG nanobeams in thermal environment based on nonlocal strain gradient theory (2016, background): “FGMs are generally isotropic and nonhomogeneous and are composed from a mixture of ceramics and metals to obtain a composition that possesses a favorable application, especially in thermal environments [1–4].”
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.”