A new higher-order shear and normal deformation theory for functionally graded sandwich beams

被引：163
作者：
Département de Génie Civil, Faculté de Génie Civil et D'architecture, Univesité Hassiba Benbouali de Chlef, Algeria [1 ]
不详 [2 ]
不详 [3 ]
机构：
[1] Département de Génie Civil, Faculté de Génie Civil et D'architecture, Univesité Hassiba Benbouali de Chlef
[2] Civil Engineering Department, Faculty of Technology, University of Sidi Bel Abbes
[3] Département de Génie Civil, Faculté de Technologie, Université de Sidi Bel Abbes
来源：
Steel Compos. Struct. | / 3卷 / 521-546期
关键词：
Functionally graded sandwich beam; Refined shear deformation theory; Stretching effect;
D O I：
10.12989/scs.2015.19.3.521
中图分类号：
学科分类号：
摘要：
A new refined hyperbolic shear and normal deformation beam theory is developed to study the free vibration and buckling of functionally graded (FG) sandwich beams under various boundary conditions. The effects of transverse shear strains as well as the transverse normal strain are taken into account. Material properties of the sandwich beam faces are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic material. Equations of motion are derived from Hamilton's principle. Analytical solutions for the bending, free vibration and buckling analyses are obtained for simply supported sandwich beams. Illustrative examples are given to show the effects of varying gradients, thickness stretching, boundary conditions, and thickness to length ratios on the bending, free vibration and buckling of functionally graded sandwich beams. Copyright © 2015 Techno-Press, Ltd.
引用
收藏
页码：521 / 546
页数：25
相关论文
共 52 条
  • [1] Akavci S.S., Two new hyperbolic shear displacement models for orthotropic laminated composite plates, Mech. Compos. Mater., 46, 2, pp. 215-226, (2010)
  • [2] Akavci S.S., An efficient shear deformation theory for free vibration of functionally graded thick rectangular plates on elastic foundation, Compos. Struct., 108, pp. 667-676, (2014)
  • [3] Akavci S.S., Thermal buckling a nalysis of functionally graded plates on an elastic foundation according to a hyperbolic shear deformation theory, Mech. Compos. Mater., 50, 2, pp. 197-212, (2014)
  • [4] Akavci S.S., Tanrikulu A.H., Buckling and free vibration analyses of laminated composite plates by using two new hyperbolic shear deformation theories, Mech. Compos. Mater., 44, 2, pp. 145-154, (2008)
  • [5] Ait Amar Meziane M., Abdelaziz H.H., Tounsi A., An efficient and simple refined theory for buckling and free vibration of exponentially graded sandwich plates under various boundary conditions, J. Sandw. Struct. Mater., 16, 3, pp. 293-318, (2014)
  • [6] Ait Yahia S., Ait Atmane H., Houari M.S.A., Tounsi A., Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories, Struct. Eng. Mech., Int. J., 53, 6, pp. 1143-1165, (2015)
  • [7] Al-Basyouni K.S., Tounsi A., Mahmoud S.R., Size dependent bending and vibration analysis of functionally graded micro beams based on modified couple stress theory and neutral surface position, Compos. Struct., 125, pp. 621-630, (2015)
  • [8] Amirani M.C., Khalili S.M.R., Nemati N., Free vibration analysis of sandwich beam with FG core using the element free Galerkin method, Compos. Struct., 90, 3, pp. 373-379, (2009)
  • [9] Attia A., Tounsi A., Adda Bedia E.A.A., Mahmoud S.R., Free vibration analysis of functionally graded plates with temperature-dependent properties using various four variable refined plate theories, Steel Compos. Struct., Int. J., 18, 1, pp. 187-212, (2015)
  • [10] Bachir Bouiadjra M., Houari M.S.A., Tounsi A., Thermal buckling of functionally graded plates according to a four-variable refined plate theory, J. Therm. Stress., 35, 8, pp. 677-694, (2012)
123456