Mechanical behaviour analysis of FGM plates on elastic foundation using a new exponential-trigonometric HSDT
Fatima Z. Zaoui,Djamel Ouinas,Abdelouahed Tounsi,Belkacem Achour,Jaime A. Vina Olay,Tayyab A. Butt
Abstract
In this research, a new two-dimensional (2D) and quasi three-dimensional (quasi-3D) higher order shear deformation theory is devised to address the bending problem of functionally graded plates resting on an elastic foundation. The displacement field of the suggested theories takes into account a parabolic transverse shear deformation shape function and satisfies shear stress free boundary conditions on the plate surfaces. It is expressed as a combination of trigonometric and exponential shear shape functions. The Pasternak mathematical model is considered for the elastic foundation. The material properties vary constantly across the FG plate thickness using different distributions as power-law, exponential and Mori– Tanaka model. By using the virtual works principle and Navier's technique, the governing equations of FG plates exposed to sinusoidal and evenly distributed loads are developed. The effects of material composition, geometrical parameters, stretching effect and foundation parameters on deflection, axial displacements and stresses are discussed in detail in this work. The obtained results are compared with those reported in earlier works to show the precision and simplicity of the current formulations. A very good agreement is found between the predicted results and the available solutions of other higher order theories. Future mechanical analyses of three-dimensionally FG plate structures can use the study's findings as benchmarks.
Fatima Z. Zaoui and Djamel Ouinas — Laboratory of Science and Technology Environment and Valorization, Faculty of Sciences and Technology/Ibn Badis University, 27000 Mostaganem, Algeria
Abdelouahed Tounsi — 1)Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology / Djilali Liabes University, 22000 Sidi Bel Abbes, Algeria 2)Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia 3)YFL (Yonsei Frontier Lab), Yonsei University, Seoul 03722, Korea
Belkacem Achour and Tayyab A. Butt — Civil Engineering Department, University of Ha'il, KSA, Saudi Arabia
Jaime A. Vina Olay — Department of Materials Science and Metallurgical Engineering, University of Oviedo, Viesques Campus,33203 Gijon, Asturias, Spain
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