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Volumn 92, Issue 7, 2010, Pages 1683-1693

Three-dimensional solution of axisymmetric bending of functionally graded circular plates

Author keywords

Axisymmetric bending; Circular plate; Functionally graded material

Indexed keywords

ANALYTICAL SOLUTIONS; AXISYMMETRIC; CIRCULAR PLATE; CIRCULAR PLATES; DISPLACEMENT METHOD; EXACT SOLUTION; EXPONENTIAL LAW; FOURIER-BESSEL SERIES; FUNCTIONALLY GRADED; LAYERWISE METHOD; MATERIAL PROPERTY; NUMERICAL EXAMPLE; RADIAL DIRECTION; SAINT-VENANT PRINCIPLE; SEMI-ANALYTICAL SOLUTION; SIMPLE SUPPORT; SIMPLY SUPPORTED; SUPERPOSITION PRINCIPLE; THICKNESS DIRECTION; THREE-DIMENSIONAL SOLUTIONS; THREE-DIMENSIONAL THEORY; TOTAL RESPONSE; TRANSVERSE LOAD; TRANSVERSELY ISOTROPIC;

EID: 76049129590     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2009.12.002     Document Type: Article
Times cited : (76)

References (25)
  • 1
    • 0033099761 scopus 로고    scopus 로고
    • Axisymmetric bending of functionally graded circular and annular plates
    • Reddy J.N., Wang C.M., and Kitipornchai S. Axisymmetric bending of functionally graded circular and annular plates. Eur J Mech A Solids 18 2 (1999) 185-199
    • (1999) Eur J Mech A Solids , vol.18 , Issue.2 , pp. 185-199
    • Reddy, J.N.1    Wang, C.M.2    Kitipornchai, S.3
  • 2
    • 0033908920 scopus 로고    scopus 로고
    • Analysis of functionally graded plates
    • Reddy J.N. Analysis of functionally graded plates. Int J Numer Methods Eng 47 1-3 (2000) 663-684
    • (2000) Int J Numer Methods Eng , vol.47 , Issue.1-3 , pp. 663-684
    • Reddy, J.N.1
  • 3
    • 0344413792 scopus 로고    scopus 로고
    • Relationships between axisymmetric bending and buckling solutions of FGM circular plates based on third-order plate theory and classical plate theory
    • Ma L.S., and Wang T.J. Relationships between axisymmetric bending and buckling solutions of FGM circular plates based on third-order plate theory and classical plate theory. Int J Solids Struct 41 1 (2004) 85-101
    • (2004) Int J Solids Struct , vol.41 , Issue.1 , pp. 85-101
    • Ma, L.S.1    Wang, T.J.2
  • 4
    • 34347236848 scopus 로고    scopus 로고
    • Higher-order theory for buckling of functionally graded circular plates
    • Najafizadeh M.M., and Heydari H.R. Higher-order theory for buckling of functionally graded circular plates. AIAA J 45 6 (2007) 1153-1160
    • (2007) AIAA J , vol.45 , Issue.6 , pp. 1153-1160
    • Najafizadeh, M.M.1    Heydari, H.R.2
  • 5
    • 39449118994 scopus 로고    scopus 로고
    • An exact solution for buckling of functionally graded circular plates based on higher order shear deformation plate theory under uniform radial compression
    • Najafizadeh M.M., and Heydari H.R. An exact solution for buckling of functionally graded circular plates based on higher order shear deformation plate theory under uniform radial compression. Int J Mech Sci 50 3 (2008) 603-612
    • (2008) Int J Mech Sci , vol.50 , Issue.3 , pp. 603-612
    • Najafizadeh, M.M.1    Heydari, H.R.2
  • 6
    • 34547789233 scopus 로고    scopus 로고
    • Analysis of thick functionally graded plates by local integral equation method
    • Sladek J., Sladek V., Hellmich C., and Eberhardsteiner J. Analysis of thick functionally graded plates by local integral equation method. Commun Numer Methods Eng 23 8 (2007) 733-754
    • (2007) Commun Numer Methods Eng , vol.23 , Issue.8 , pp. 733-754
    • Sladek, J.1    Sladek, V.2    Hellmich, C.3    Eberhardsteiner, J.4
  • 7
    • 48349136009 scopus 로고    scopus 로고
    • Reformulation of Mindlin-Reissner governing equations of functionally graded circular plates
    • Nosier A., and Fallah F. Reformulation of Mindlin-Reissner governing equations of functionally graded circular plates. Acta Mech 198 3-4 (2008) 209-233
    • (2008) Acta Mech , vol.198 , Issue.3-4 , pp. 209-233
    • Nosier, A.1    Fallah, F.2
  • 8
    • 61449206130 scopus 로고    scopus 로고
    • Axisymmetric bending and buckling analysis of thick functionally graded circular plates using unconstrained third-order shear deformation plate theory
    • Saidi A.R., Rasouli A., and Sahraee S. Axisymmetric bending and buckling analysis of thick functionally graded circular plates using unconstrained third-order shear deformation plate theory. Compos Struct 89 1 (2009) 110-119
    • (2009) Compos Struct , vol.89 , Issue.1 , pp. 110-119
    • Saidi, A.R.1    Rasouli, A.2    Sahraee, S.3
  • 9
    • 0041854232 scopus 로고    scopus 로고
    • Three-dimensional exact analysis of a simply supported functionally gradient piezoelectric plate
    • Zhong Z., and Shang E.T. Three-dimensional exact analysis of a simply supported functionally gradient piezoelectric plate. Int J Solids Struct 40 20 (2003) 5335-5352
    • (2003) Int J Solids Struct , vol.40 , Issue.20 , pp. 5335-5352
    • Zhong, Z.1    Shang, E.T.2
  • 10
    • 12344328662 scopus 로고    scopus 로고
    • Three-dimensional elasticity solution for bending of functionally graded rectangular plates
    • Kashtalyan M. Three-dimensional elasticity solution for bending of functionally graded rectangular plates. Eur J Mech A Solids 23 5 (2004) 853-864
    • (2004) Eur J Mech A Solids , vol.23 , Issue.5 , pp. 853-864
    • Kashtalyan, M.1
  • 11
    • 33847672359 scopus 로고    scopus 로고
    • Three-dimensional solution for transient thermal stresses of an orthotropic functionally graded rectangular plate
    • Ootao Y., and Tanigawa Y. Three-dimensional solution for transient thermal stresses of an orthotropic functionally graded rectangular plate. Compos Struct 80 (2007) 10-20
    • (2007) Compos Struct , vol.80 , pp. 10-20
    • Ootao, Y.1    Tanigawa, Y.2
  • 12
    • 67349213975 scopus 로고    scopus 로고
    • Three-dimensional elasticity solution of functionally graded rectangular plates with variable thickness
    • Xu Y.P., and Zhou D. Three-dimensional elasticity solution of functionally graded rectangular plates with variable thickness. Compos Struct 91 (2009) 56-65
    • (2009) Compos Struct , vol.91 , pp. 56-65
    • Xu, Y.P.1    Zhou, D.2
  • 13
    • 33748679790 scopus 로고    scopus 로고
    • Pure bending of simply supported circular plate of transversely isotropic functionally graded material
    • Li X.Y., Ding H.J., and Chen W.Q. Pure bending of simply supported circular plate of transversely isotropic functionally graded material. J Zhejiang Univ Sci 7 8 (2006) 1324-1328
    • (2006) J Zhejiang Univ Sci , vol.7 , Issue.8 , pp. 1324-1328
    • Li, X.Y.1    Ding, H.J.2    Chen, W.Q.3
  • 15
    • 41149166255 scopus 로고    scopus 로고
    • Axisymmetric elasticity solutions for a uniformly loaded annular plate of transversely isotropic functionally graded materials
    • Li X.Y., Ding H.J., and Chen W.Q. Axisymmetric elasticity solutions for a uniformly loaded annular plate of transversely isotropic functionally graded materials. Acta Mech 196 3-4 (2008) 139-159
    • (2008) Acta Mech , vol.196 , Issue.3-4 , pp. 139-159
    • Li, X.Y.1    Ding, H.J.2    Chen, W.Q.3
  • 16
    • 38849097632 scopus 로고    scopus 로고
    • Three-dimensional analytical solution for functionally graded magneto-electro-elastic circular plates subjected to uniform load
    • Li X.Y., Ding H.J., and Chen W.Q. Three-dimensional analytical solution for functionally graded magneto-electro-elastic circular plates subjected to uniform load. Compos Struct 83 (2008) 381-390
    • (2008) Compos Struct , vol.83 , pp. 381-390
    • Li, X.Y.1    Ding, H.J.2    Chen, W.Q.3
  • 17
    • 54949129153 scopus 로고    scopus 로고
    • Elasticity solutions for a uniformly loaded annular plate of functionally graded materials
    • Yang B., Ding H.J., and Chen W.Q. Elasticity solutions for a uniformly loaded annular plate of functionally graded materials. Struct Eng Mech 30 4 (2008) 501-512
    • (2008) Struct Eng Mech , vol.30 , Issue.4 , pp. 501-512
    • Yang, B.1    Ding, H.J.2    Chen, W.Q.3
  • 18
    • 40849118265 scopus 로고    scopus 로고
    • Vibration analysis of functionally graded annular sectorial plates with simply supported radial edges
    • Nie G.J., and Zhong Z. Vibration analysis of functionally graded annular sectorial plates with simply supported radial edges. Compos Struct 84 (2008) 167-176
    • (2008) Compos Struct , vol.84 , pp. 167-176
    • Nie, G.J.1    Zhong, Z.2
  • 19
    • 33847644164 scopus 로고    scopus 로고
    • Thermoelastic analysis of a functionally graded rotating disk
    • Kordkheili S.A.H., and Naghdabadi R. Thermoelastic analysis of a functionally graded rotating disk. Compos Struct 79 (2007) 508-516
    • (2007) Compos Struct , vol.79 , pp. 508-516
    • Kordkheili, S.A.H.1    Naghdabadi, R.2
  • 20
    • 36749061327 scopus 로고    scopus 로고
    • Generalized coupled thermoelasticity of functionally graded annular disk considering the Lord-Shulman theory
    • Bagri A., and Eslami M.R. Generalized coupled thermoelasticity of functionally graded annular disk considering the Lord-Shulman theory. Compos Struct 83 (2008) 168-179
    • (2008) Compos Struct , vol.83 , pp. 168-179
    • Bagri, A.1    Eslami, M.R.2
  • 22
    • 0037354371 scopus 로고    scopus 로고
    • Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later
    • Moler C., and Loan C.V. Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later. SIAM Rev 45 1 (2003) 3-49
    • (2003) SIAM Rev , vol.45 , Issue.1 , pp. 3-49
    • Moler, C.1    Loan, C.V.2
  • 23
    • 0036218751 scopus 로고    scopus 로고
    • Exact solution for axisymmetric deformation of laminated transversely isotropic annular plates
    • Ding H.J., and Xu R.Q. Exact solution for axisymmetric deformation of laminated transversely isotropic annular plates. Acta Mech 153 3-4 (2002) 169-182
    • (2002) Acta Mech , vol.153 , Issue.3-4 , pp. 169-182
    • Ding, H.J.1    Xu, R.Q.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.