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Mechanical Buckling of Functionally Graded Engesser-Timoshenko Beams Located on a Continuous Elastic Foundation
Abstract:This paper studies mechanical buckling of functionally graded beams subjected to axial compressive load that is simply supported at both ends lies on a continuous elastic foundation. The displacement field of beam is assumed based on Engesser-Timoshenko beam theory. Applying the Hamilton's principle, the equilibrium equation is established. The influences of dimensionless geometrical parameter, functionally graded index and foundation coefficient on the critical buckling load of beam are presented. To investigate the accuracy of the present analysis, a compression study is carried out with a known data.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1082043Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1376
 O. Rabin BH, Shiota I. Functionally gradient materials. Mater Res Soc Bull 1995;20:14-8.
 Koizumi M. FGM activities in Japan. Compos Part B: Eng 1997;28:1-4.
 Ichinose N, Miyamoto N, Takahashi S. Ultrasonic transducers with functionally graded piezoelectric ceramics. J Eur Ceram Soc 2004;24:1681-5
 Wu CCM, Kahn M, Moy W. Piezoelectric ceramics with functional gradients: a new application in material design. J Am Ceram Soc 1996;79:809-12.
 Li CY, Weng GJ. Antiplane crack problem in functionally graded piezoelectric materials. J Appl Mech 2002;69:481-8.
 Chen WQ, Ye GR, Cai JB. Thermoelastic stresses in a uniformly heated functionally graded isotropic hollow cylinder. J Zhejiang Univ (Science)2002;3:1-5.
 Cheng ZQ, Lim CW, Kitipornchai S. Three-dimensional asymptotic approach to inhomogeneous and laminated piezoelectric plates. Int J Solids Struct 2000;37:3153-75.
 Lim CW, He LH. Exact solution of a compositionally graded piezoelectric layer under uniform stretch, bending and twisting.Int J Mech Sci 2001;43:2479-92.
 Lim CW, He LH, Soh AK. Three dimensional electromechanical responses of a parallel piezoelectric bimorph. Int J Solids Struct 2001;38:2833-49.
 Chen WQ, Ding HJ, Hou PF. Exact solution of an external circular crack in a piezoelectric solid subjected to shear loading. J Zhejiang Univ (Science) 2001;2:9-14.
 Hou PF, Ding HJ, Guan FL. A penny-shaped crack in an infinite piezoelectric body under antisymmetric point loads. J Zhejiang Univ (Science) 2001;2:146-51.
 Zhang W, Hong T. Adaptive Lagrange finite element methods for high precision vibrations and piezoelectric acoustic wave computations in SMT structures and plates with nano interfaces. J Zhejiang Univ (Science) 2002;3:6-12.
 Wang Y, Xu RQ, Ding HJ. Free vibration of piezoelectric annular plate. J Zhejiang Univ (Science) 2003;4:379-87.
 Lim CW, Lau CWH. A new two-dimensional model for electromechanical response of thick laminated piezoelectric actuator. Int J Solids Struct, in press.
 Ootao Y, Tanigawa Y. Three-dimensional transient piezothermoelasticity in functionally graded rectangular plate bonded to a piezoelectric plate. Int J Solids Struct 2000;37:4377-401.
 Pagano NJ. Exact solutions for composite laminates in cylindrical bending. J Compos Mater 1969;3:398-411.
 He XQ, Ng TY, Sivashanker S, Liew KM. Active control of FGM plates with integrated piezoelectric sensors and actuators. Int J Solids Struct 2001;38:1641-55.
 Liew KM, He XQ, Ng TY, Sivashanker S. Active control of FGM plates subjected to a temperature gradient: modelling via finite element method based on FSDT. Int J Numer Meth Eng 2001;52:1253-71.
 Reddy J.N. and Praveen G.N., Nonlinear Transient Thermoelastic Analysis of Functionally Graded Ceramic-metal Plates, International Journal of. Solids and Structures, Vol. 35, 1998, pp. 4467-4476
 Wang C.M., Reddy J.N., 2000, "Shear Deformable Beams and Plates", Oxford, Elsevier.
 Reddy J.N., 2004, " Mechanics of Laminated Composite Plates and Shells Theory and Analysis", New York, CRC. World Academy of Science, Engineering and Technology 58 2011