A novel higher-order shear deformation theory with stretching effect for functionally graded plates

Composites Part B: Engineering

Volumn 45, Issue 1, 2013, Pages 268-281

  Mantari, J L ^a   Guedes Soares, C ^a  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

A. Plates; B. Strength; C. Analytical modelling; Functionally graded materials

Indexed keywords

A. PLATES; B. STRENGTH; DISPLACEMENTS AND STRESS; EXACT SOLUTION; FUNCTIONALLY GRADED PLATES; GOVERNING EQUATIONS; HIGHER ORDER SHEAR DEFORMATION THEORY; HIGHER-ORDER THEORY; NAVIER-TYPE SOLUTIONS; PRINCIPLE OF VIRTUAL WORK; SIMPLY SUPPORTED; STRETCHING EFFECT;

BOUNDARY CONDITIONS; FUNCTIONALLY GRADED MATERIALS;

STRENGTH OF MATERIALS;

EID: 84869497305     PISSN: 13598368     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compositesb.2012.05.036     Document Type: Article

References (49)

1. M. Koizumi The concept of FGM, ceramic transactions Funct Grad Mater 34 1993 3 10
2. S.S. Vel, and R.C. Batra Three-dimensional exact solution for the vibration of functionally graded rectangular plates J Sound Vib 272 2004 703 730
3. T.R. Tauchert Thermally induced flexure, buckling and vibration of plates ASME Appl Mech Rev 44 1991 347 360
4. J.N. Reddy, and C.D. Chin Thermomechanical analysis of functionally graded cylinders and plates J Thermal Stress 21 1998 593 626
5. J.N. Reddy Analysis of functionally graded plates Int J Numer Methods Eng 47 2000 663 684
6. K. Tanaka, Y. Tanaka, H. Watanabe, V.F. Poterasu, and Y. Sugano An improved solution to thermoelastic materials designed in functionally graded materials: scheme to reduce thermal stresses Comput Methods Appl Mech Eng 106 1993 377 389
7. F. Erdogan Fracture mechanics of functionally graded materials Compos Eng 5 1995 770 773
8. J.H. Jin, and R.C. Batra Some basic fracture mechanics concepts of functionally graded materials J Mech Phys Solids 44 1996 1221 1235
9. M. Finot, and S. Suresh Small and large deformation of thick and thin film multilayers: effects of layer geometry, plasticity and compositional gradients J Mech Phys Solids 44 5 1996 683 721
10. J.N. Reddy, and C.D. Chin Thermomechanical analysis of functionally graded cylinders and plates J Thermal Stress 21 1998 593 626
11. G.N. Praveen, and J.N. Reddy Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates Int J Solids Struct 35 33 1998 4457 4476
12. J.N. Reddy Analysis of functionally graded plates Int J Numer Meth Eng 47 2000 663 684
13. Z.Q. Cheng, and R.C. Batra Deflection relationships between the homogeneous Kirchhoff plate theory and different functionally graded plate theories Arch Mech 52 2000 143 158
14. V. Birman, and L.W. Byrd Modeling and analysis of functionally graded materials and structures ASME Appl Mech Rev 60 2007 195 216
15. E. Carrera, S. Brischetto, M. Cinefra, and M. Soave Effects of thickness stretching in functionally graded plates and shells Composites: Part B 42 2011 123 133
16. J.L. Mantari, A.S. Oktem, and C. Guedes Soares Bending response of functionally graded plates by using a new higher order shear deformation theory Compos Struct 94 2012 714 723
17. A.M. Zenkour Benchmark trigonometric and 3-D elasticity solutions for an exponentially graded thick rectangular plate Appl Math Model 77 2007 197 214
18. J. Sladek, V. Sladek, C.H. Hellmich, and J. Eberhardsteiner Analysis of thick functionally graded plates by local integral equation Commun Numer Meth Eng 23 2007 733 754
19. J. Sladek, V. Sladek, P. Solek, and P.H. Wen Thermal bending of Reissner-Mindlin plates by the MLPG CMES - Comput Model Eng Sci 28 2008 57 76
20. J. Sladek, V. Sladek, P. Solek, P.H. Wen, and S.N. Atluri Thermal analysis of Reissner-Mindlin shallow shells with FGM properties by the MLPG CMES - Comput Model Eng Sci 30 2008 77 97
21. S. Abrate Functionally graded plates behave like homogeneous plates Composites: Part B 39 2008 151 158
22. Y. Bo, D. Hao-jiang, and C. Wei-qiu Elasticity solutions for functionally graded plates in cylindrical bending Appl Math Mech 29 8 2008 999 1004
23. H. Matsunaga Free vibration and stability of functionally graded plates according to 2-D higher-order deformation theory Compos Struct 82 2008 256 270
24. H. Matsunaga Stress analysis of functionally graded plates subjected to thermal and mechanical loadings Compos Struct 87 2009 344 357
25. H. Matsunaga Thermal buckling of functionally graded plates according to a 2D higher-order deformation theory Compos Struct 90 2009 76 86
26. R.S. Khabbaz, B.D. Manshadi, and A. Abedian Nonlinear analysis of fgm plates under pressure loads using the higher-order shear deformation theories Compos Struct 89 2009 333 344
27. A.M. Zenkour, and N.A. Alghamdi Thermomechanical bending response of functionally graded nonsymmetric sandwich plates J Sandwich Struct Mater 12 2010 7 46
28. M.M. Aghdam, K. Bigdelli, and N. Shahmansouri A semi-analytical solution for bending of moderately thick curved functionally graded panels Mech Adv Mater Struct 17 2010 320 327
29. C.P. Wu, and H.Y. Li An RMVT-based third-order shear deformation theory of multilayered functionally graded material plates Compos Struct 92 2010 2591 2605
30. M. Talha, and B.N. Singh Static response and free vibration analysis of fgm plates using higher order shear deformation theory Appl Math Model 34 2010 3991 4011
31. R. Vaghefi, G.H. Baradaran, and H. Koohkan Three-dimensional static analysis of thick functionally graded plates by using meshless local Petrov-Galerkin (MLPG) method Eng Anal Bound Elem 34 2010 564 573
32. C.P. Wu, K.H. Chiu, and Y.M. Wang RMVT-based meshless collocation and element-free Galerkin methods for the quasi-3D analysis of multilayered composite and FGM plates Compos Struct 93 2011 923 943
33. C.P. Wu, and S.W. Yang RMVT-based meshless collocation and element-free Galerkin methods for the quasi-3D analysis of multilayered composite and FGM circular hollow cylinders Composites: Part B 42 2011 1683 1700
34. A. Benachour, H.D. Tahar, H.A. Atmane, A. Tounsi, and M.S. Ahmed A four variable refined plate theory for free vibrations of functionally graded plates with arbitrary gradient Composites: Part B 42 2011 1386 1394
35. H.T. Thai, and D.H. Choi A refined shear deformation theory for free vibration of functionally graded plates on elastic foundation Composites: Part B 2011 10.1016/j.compositesb.2011.11.062
36. J.N. Reddy, and J. Kim A nonlinear modified couple stress-based third-order theory of functionally graded plates Compos Struct 94 2012 1128 1143
37. E. Carrera, S. Brischetto, and A. Robaldo Variable kinematic model for the analysis of functionally graded material plates AIAA J 46 2008 194 203
38. S. Brischetto Classical and mixed advanced models for sandwich plates embedding functionally graded cores J Mech Mater Struct 4 2009 13 33
39. Brischetto S, Carrera E. Classical and mixed theories for bending analysis of functionally graded materials shells. In: Proceedings of APCOM'07 in conjunction with EPMESC XI, Kyoto, Japan.
40. S. Brischetto, and E. Carrera Advanced mixed theories for bending analysis of functionally graded plates Comput Struct 88 2010 1474 1483
41. Neves AMA, Ferreira AJM, Carrera E, Roque CMC, Cinefra M, Jorge RMN, et al. A quasi-3D sinusoidal shear deformation theory for the static and free vibration analysis of functionally graded plates. Composites: Part B. http://dx.doi.org/10.1016/j.compositesb.2011.08.009.
42. J.L. Mantari, and C. Guedes Soares Bending analysis of thick exponentially graded plates using a new trigonometric higher order shear deformation theory Compos Struct 94 2012 1991 2000
43. J.L. Mantari, A.S. Oktem, and C. Guedes Soares A new trigonometric shear deformation theory for isotropic, laminated composite and sandwich plates Int J Solid Struct 49 2012 43 53
44. A.S. Oktem, and C. Guedes Soares Boundary discontinuous Fourier solution for plates and doubly curved panels using a higher order theory Composites Part B 42 2011 842 850
45. M. Levy Memoire sur la theorie des plaques elastique planes J Math Pures Appl 30 1877 219 306
46. M. Stein Nonlinear theory for plates and shells including the effects of transverse shearing AIAA 24 9 1986 1537 1544
47. M. Touratier An efficient standard plate theory Int J Eng Sci 29 8 1991 901 916
48. A.M. Zenkour Generalized shear deformation theory for bending analysis of functionally graded plates Appl Math Model 30 2006 67 84
49. S.S. Vel, and R.C. Batra Three-dimensional analysis of transient thermal stresses in functionally graded plates Int J Solids Struct 40 2002 7181 7196