Advanced SearchSearch Tips
Theoretical analysis of composite beams under uniformly distributed load
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Theoretical analysis of composite beams under uniformly distributed load
Daouadji, Tahar Hassaine; Adim, Belkacem;
The bending problem of a functionally graded cantilever beam subjected to uniformly distributed load is investigated. The material properties of the functionally graded beam are assumed to vary continuously through the thickness, according to a power-law distribution of the volume fraction of the constituents. First, the partial differential equation, which is satisfied by the stress functions for the axisymmetric deformation problem is derived. Then, stress functions are obtained by proper manipulation. A practical example is presented to show the application of the method.
functionally graded beam;uniformly distributed load;elastic properties;analytical solution;
 Cited by
Interfacial stresses in RC beam bonded with a functionally graded material plate,;;;

Structural Engineering and Mechanics, 2016. vol.60. 4, pp.693-705 crossref(new window)
Elastic-plastic fracture of functionally graded circular shafts in torsion,;

Advances in materials Research, 2016. vol.5. 4, pp.299-318 crossref(new window)
Elastic-plastic fracture of functionally graded circular shafts in torsion, Advances in materials Research, 2016, 5, 4, 299  crossref(new windwow)
Ahmed, S.R., Idris, B.M. and Uddin, M.W. (1996), "Numerical solution of both ends fixed deep beams", Comput. Struct., 61(1), 21-29. crossref(new window)

Belabed, Z., Houari, M.S.A., Tounsi, A., Mahmoud, S.R. and Anwar Beg, O. (2014), "An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates", Compos.: Part B, 60, 274-283. crossref(new window)

Bellifa, H., Benrahou, K.H., Hadji, L., Houari, M.S.A. and Tounsi, A. (2016), "Bending and free vibration analysis of functionally graded plates using a simple shear deformation theory and the concept the neutral surface position", J. Braz. Soc. Mech. Sci. Eng., 38(1), 265-275. crossref(new window)

Bennoun, M., Houari, M.S.A. and Tounsi, A. (2016), "A novel five variable refined plate theory for vibration analysis of functionally graded sandwich plates", Mech. Adv. Mater. Struct., 23(4), 423-431. crossref(new window)

Ben-Oumrane, S., Abedlouahed, T., Ismail, M., Mohamed, B.B., Mustapha, M. and El Abbas, A.B. (2009), "A theoretical analysis of flexional bending of Al/Al 2 O 3 S-FGM thick beams", Comput. Mater. Sci., 44(4), 1344-1350. crossref(new window)

Daouadji, T.H. (2015), "Analytical solution of nonlinear cylindrical bending for functionally graded plates", Geomech. Eng., 9(5), 631-644. crossref(new window)

Ding, H.J., Huang, D.J. and Chen, W.Q. (2007), "Elasticity solutions for plane anisotropic functionally graded beams", Int. J. Solid. Struct., 44(1), 176-196. crossref(new window)

Hebali, H., Tounsi, A., Houari, M.S.A., Bessaim, A. and Bedia, E.A.A. (2014), "New quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates", J. Eng. Mech., 140(2), 374-383. crossref(new window)

Huang, D.J., Ding, H.J. and Chen, W.Q. (2007), "Piezoelasticity solutions for functionally graded piezoelectric beams", Smart Mater. Struct., 16(3), 687. crossref(new window)

Lekhnitskii, S.G. (1968), Anisotropic plate, Gordon and Breach, New York.

Lin-nan, Z. and Zhi-fei, S. (2003), "Analytical solution of a simply supported piezoelectric beam subjected to a uniformly distributed loading", Appl. Math. Mech., 24(10), 1215-1223. crossref(new window)

Sankar, B.V. and Tzeng, J.T. (2002), "Thermal stresses in functionally graded beams", AIAA J., 40(6), 1228-1232. crossref(new window)

Shi, Z.F. and Chen, Y. (2004), "Functionally graded piezoelectric cantilever beam under load", Arch. Appl. Mech., 74(3-4), 237-247. crossref(new window)

Silverman, I.K. (1964), "Orthotropic beams under polynomial loads", J. Eng. Mech., 90(5), 293-320.

Timoshenko, S.P. and Goodier, J.N. (1970), Theory of elasticity, 3rd Ed., McGraw-Hill, New York.

Tlidji, Y., Daouadji, T.H., Hadji, L., Tounsi, A. and Bedia, E.A.A. (2014), "Elasticity solution for bending response of functionally graded sandwich plates under thermomechanical loading", J. Therm. Stresses, 37(7), 852-869. crossref(new window)

Tounsi, A., Bourada, M., Kaci, A. and Houari, M.S.A. (2015), "A new simple shear and normal deformations theory for functionally graded beams", Steel Compos. Struct., 18(2), 409-423. crossref(new window)

Venkataraman, S. and Sankar, B.V. (2003), "Elasticity solution for stresses in a sandwich beam with functionally graded core", AIAA J., 41(12), 2501-2505. crossref(new window)

Zhu, H. and Sankar, B.V. (2004), "A combined fourier series-glerkin method for the analysis of functionally graded beams", J. Appl. Mech., 71(3), 421-424. crossref(new window)

Zoubida, K., Daouadji, T.H., Hadji, L., Tounsi, A. and El Abbes, A.B. (2015), "A new higher order shear deformation model of functionally graded beams based on neutral surface position", Transactions of the Indian Institute of Metals, 1-9.