A new approach for the analysis of functionally graded beams

• Autorzy: Mirzababaee M. , Tahani M. , Zebarjad S. M.
• Języki publikacji: EN

Abstrakty

EN

Purpose: It is the intention of the present study to develope a new beam theory for the analysis of functionally graded compopsite beams to overcome the shortcomings present in the existing beam theories. Design/methodology/approach: Within the displacement field of a first-order shear deformation theory and by using the Hamilton principle the governing equations of motion are obtained for both the new and the existing beam theories. The beams are assumed to have isotropic, two-constituent material distribution through the thickness. Findings: It is found that the procedure used is simple and straightforward and similar to the one used in the development of shear deformation plate and shell theories. It is analytically showed that the new approach yields identical results as those obtained by using the existing first-order shear deformation theory. Research limitations/implications: The new approach can be adopted in developing higher-order shear deformation and layerwise theories. It is believed that the new approach has advantage with respect to the existing beam theories especially for developing beam layerwise theories. Practical implications: The new shear deformation beam theory can be used to develop a new beam element for analysis of practical composite beam structures. Originality/value: The paper introduces an approach to develop a new theory for modeling composite beams. The resulting equations of motion may be solved analytically or by using finite element method.

Słowa kluczowe

EN

applied mechanics; functionally graded beams; analytical solution; thermomechanical loadings

PL

mechanika stosowana; funkcjonalne belki gradientowe; rozwiązanie analityczne; obciążenia cieplno-mechaniczne

• Wydawca: International OCSCO World Press
• Czasopismo: Journal of Achievements in Materials and Manufacturing Engineering
• Rocznik: 2006
• Tom: Vol. 17, nr 1-2
• Strony: 265--268
• Opis fizyczny: Bibliogr. 8 poz., rys.

Twórcy

autor

Mirzababaee M.

• Department of Mechanical Engineering, Ferdowsi University of Mashhad, P. O. Box 91775-1111, Mashhad, Iran

autor

Tahani M.

• Department of Mechanical Engineering, Ferdowsi University of Mashhad, P. O. Box 91775-1111, Mashhad, Iran

autor

Zebarjad S. M.

• Department of Materials Science and Engineering, Ferdowsi University of Mashhad, P. O. Box 91775-1111, Mashhad, Iran

Bibliografia

• [1] S. Wojciechowski, New trends in the development of mechanical engineering materials, Journal of Materials Processing Technology 106 (2000) 230-235.
• [2] A. Maciejny, Development problems of materials in mechanical engineering, Journal of Materials Processing Technology 106 (2000) 184-190.
• [3] A. Chakraborty, S. Gopalakrishnan, J.N. Reddy, A new beam finite element for the analysis of functionally graded materials, International Journal of Mechanical Science 45 (2003) 519-539.
• [4] B.V. Sankar, An elasticity solution for functionally graded beams, Composite Science and Technology 61 (2001) 689-696.
• [5] S.S. Vel, R.C. Batra, Exact solutions for thermoelastic deformations of functionally graded thick rectangular plates, AIAA Journal 40 (2002) 1421-1433.
• [6] L.F. Qian, R.C. Batra, L.M. Chen, Analysis of cylindrical bending thermoelastic deformations of functionally graded plates by a meshless local Petrov–Galerkin method, Computational Mechanics 33 (2004) 263-273.
• [7] M. Tahani, Laminated composite beams using layerwise displacement theories, Composite Structures, In Press.
• [8] Y.C. Fung, Foundations of solid mechanics. Englewood Cliffs, New Jersey: Prentice-Hall, first edition, 1965.