Non-linear analysis of functionally graded plates in cylindrical bending under thermomechanical loadings based on a layerwise theory

European Journal of Mechanics, A/Solids

Volumn 28, Issue 2, 2009, Pages 248-256

  Tahani, Masoud ^a   Mirzababaee, Seyed Mahdi ^a,b  

^a FERDOWSI UNIVERSITY OF MASHHAD   (Iran)

^b Khorasan Science & Technology Park   (Iran)

Author keywords

Analytical solution; Functionally graded material; Geometric non linearity; Layerwise method; Plate

Indexed keywords

BEAMS AND GIRDERS; CRACK INITIATION; FUNCTIONALLY GRADED MATERIALS; LINEARIZATION; MATERIALS; PROGRAMMING THEORY; THERMOMECHANICAL TREATMENT;

ANALYTICAL SOLUTION; FUNCTIONALLY GRADED MATERIAL; GEOMETRIC NON-LINEARITY; LAYERWISE METHOD; PLATE;

PERTURBATION TECHNIQUES;

EID: 58749088091     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2008.05.002     Document Type: Article

References (18)

1. Agarwal S., Chakraborty A., and Gopalakrishnan S. Large deformation analysis for anisotropic and inhomogeneous beams using exact linear static solutions. Compos. Struct. 72 (2006) 91-104
2. Franklin J.N. Matrix Theory (1968), Prentice-Hall, Englewood Cliffs, NJ
3. Fung Y.C. Foundation of Solid Mechanics (1965), Prentice-Hall, Englewood Cliffs, NJ
4. Hsieh J.-J., and Lee L.-T. An inverse problem for a functionally graded elliptical plate with large deflection and slightly disturbed boundary. Int. J. Solids Struct. 43 20 (2006) 5981-5993
5. Noda N., and Tsuji T. Steady thermal stresses in a plate of functionally gradient material. Trans. Japan Soc. Mech. Engineers, Ser. A 57 (1991) 98-103
6. Nosier A., Kapania R.K., and Reddy J.N. Free vibration analysis of laminated plates using a layerwise theory. AIAA J. 31 12 (1993) 2335-2346
7. Praveen G.N., and Reddy J.N. Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates. Int. J. Solids Struct. 35 33 (1998) 4457-4476
8. Reddy J.N. A generalization of two-dimensional theories of laminated composite plates. Commun. Appl. Numer. Methods 3 (1987) 173-180
9. Reddy J.N. Analysis of functionally graded plates. Int. J. Numer. Meth. Engrg. 47 (2000) 663-684
10. Reddy J.N., and Cheng Z.Q. Three-dimensional thermo-mechanical deformations of functionally graded rectangular plates. Eur. J. Mech. A/Solids 20 (2001) 841-855
11. Reddy J.N., and Chin C.D. Thermoelastical analysis of functionally graded cylinders and plates. J. Thermal Stresses 21 (1998) 593-626
12. Shen H.-S. Nonlinear bending response of functionally graded plates subjected to transverse loads and in thermal environments. Int. J. Mech. Sci. 44 (2002) 561-584
13. Tahani M., and Nosier A. Free edge stress analysis of general cross-ply composite laminates under extension and thermal loading. Compos. Struct. 60 (2003) 91-103
14. Tahani M., and Nosier A. Accurate determination of interlaminar stresses in general cross-ply laminates. Mech. Adv. Mater. Struct. 11 1 (2004) 67-92
15. Tahani M., Torabizadeh M.A., and Fereidoon A. Nonlinear analysis of functionally graded beams. J. Achievements in Mater. Manufacturing Engrg. 18 1-2 (2006) 315-318
16. Tanigawa Y., Akai T., Kawamura R., and Oka N. Transient heat conduction and thermal stress problems of a nonhomogeneous plate with temperature-dependent material properties. J. Thermal Stresses 19 (1996) 77-102
17. Woo J., and Meguid S.A. Nonlinear analysis of functionally graded plates and shallow shells. Int. J. Solids Struct. 38 (2001) 7409-7421
18. Yang J., and Shen H.-S. Non-linear analysis of functionally graded plates under transverse and in-plane loads. Int. J. Non-Linear Mech. 38 (2003) 467-482