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Volumn 44, Issue 8, 2009, Pages 928-942

Non-linear analysis of functionally graded circular plates under asymmetric transverse loading

Author keywords

Analytical solution; Asymmetric loading; Boundary layer; Circular plate; Functionally graded materials; Non linear analysis; Perturbation technique

Indexed keywords

ANALYTICAL SOLUTION; ANALYTICAL SOLUTIONS; ASYMMETRIC BEHAVIORS; ASYMMETRIC LOADING; AXISYMMETRIC; BOUNDARY-LAYER; CIRCULAR PLATE; CIRCULAR PLATES; FG MATERIAL; FIRST-ORDER SHEAR DEFORMATION; FOURIER SERIES METHOD; FUNCTIONALLY GRADED; GOVERNING EQUATIONS; LINEAR ANALYSIS; MATERIAL PROPERTY; MECHANICAL LOADING; NON-LINEAR; NON-LINEAR ANALYSIS; NON-LINEARITY; PLATE THICKNESS; POTENTIAL FUNCTION; POWER LAW DISTRIBUTION; RADIAL DIRECTION; SIMPLY SUPPORTED; SMALL DEFLECTION; STRESS FUNCTIONS; TRANSVERSE LOADING; VON KARMAN;

EID: 68149099837     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2009.07.001     Document Type: Article
Times cited : (56)

References (31)
  • 3
    • 33646514845 scopus 로고    scopus 로고
    • Mechanical behavior of functionally graded material plates under transverse load-part I: analysis
    • Chi S.H., and Chung Y.L. Mechanical behavior of functionally graded material plates under transverse load-part I: analysis. Int. J. Solids Struct. 43 (2006) 3657-3674
    • (2006) Int. J. Solids Struct. , vol.43 , pp. 3657-3674
    • Chi, S.H.1    Chung, Y.L.2
  • 4
    • 33646513704 scopus 로고    scopus 로고
    • Mechanical behavior of functionally graded material plates under transverse load-part II: numerical results
    • Chi S.H., and Chung Y.L. Mechanical behavior of functionally graded material plates under transverse load-part II: numerical results. Int. J. Solids Struct. 43 (2006) 3675-3691
    • (2006) Int. J. Solids Struct. , vol.43 , pp. 3675-3691
    • Chi, S.H.1    Chung, Y.L.2
  • 5
    • 36849035823 scopus 로고    scopus 로고
    • First-order shear deformation plate models for functionally graded materials
    • Nguyen T.K., Sab K., and Bonnet G. First-order shear deformation plate models for functionally graded materials. Compos. Struct. 83 (2008) 25-36
    • (2008) Compos. Struct. , vol.83 , pp. 25-36
    • Nguyen, T.K.1    Sab, K.2    Bonnet, G.3
  • 6
    • 0034188611 scopus 로고    scopus 로고
    • Deformation and stresses in functionally graded rotating disks
    • Durodola J.F., and Attia O. Deformation and stresses in functionally graded rotating disks. Comput. Sci. Technol. 60 (2000) 987-995
    • (2000) Comput. Sci. Technol. , vol.60 , pp. 987-995
    • Durodola, J.F.1    Attia, O.2
  • 7
    • 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
  • 8
    • 48349148048 scopus 로고    scopus 로고
    • Multipurpose optimization problem on material composition for thermal stress relaxation type of functionally graded circular plate using genetic algorithm
    • J.J. Skrzyspek, R.B. Hetnarski Eds, Cracow, Poland
    • R. Kawamura, S. Matsomoto, Y. Tanigawa, Multipurpose optimization problem on material composition for thermal stress relaxation type of functionally graded circular plate using genetic algorithm, in: J.J. Skrzyspek, R.B. Hetnarski (Eds.), Thermal Stresses '99, Third International Congress on Thermal Stresses, Cracow, Poland, 1999, pp. 479-482.
    • (1999) Thermal Stresses '99, Third International Congress on Thermal Stresses , pp. 479-482
    • Kawamura, R.1    Matsomoto, S.2    Tanigawa, Y.3
  • 9
    • 0033887137 scopus 로고    scopus 로고
    • Three-dimensional thermoelastic deformations of a functionally graded elliptic plate
    • Cheng Z.Q., and Batra R.C. Three-dimensional thermoelastic deformations of a functionally graded elliptic plate. Compos. Part B 31 (2000) 97-106
    • (2000) Compos. Part B , vol.31 , pp. 97-106
    • Cheng, Z.Q.1    Batra, R.C.2
  • 10
    • 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 (1999) 185-199
    • (1999) Eur. J. Mech. A/Solids , vol.18 , pp. 185-199
    • Reddy, J.N.1    Wang, C.M.2    Kitipornchai, S.3
  • 11
    • 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 (2004) 85-101
    • (2004) Int. J. Solids Struct. , vol.41 , pp. 85-101
    • Ma, L.S.1    Wang, T.J.2
  • 13
    • 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 (2007) 1153-1160
    • (2007) AIAA J. , vol.45 , pp. 1153-1160
    • Najafizadeh, M.M.1    Heydari, H.R.2
  • 14
    • 0036641279 scopus 로고    scopus 로고
    • First-order-theory-based thermoelastic stability of functionally graded material circular plates
    • Najafizadeh M.M., and Eslami M.R. First-order-theory-based thermoelastic stability of functionally graded material circular plates. AIAA J. 40 (2002) 1444-1450
    • (2002) AIAA J. , vol.40 , pp. 1444-1450
    • Najafizadeh, M.M.1    Eslami, M.R.2
  • 15
    • 34447102702 scopus 로고    scopus 로고
    • Nonlinear thermo-mechanical postbuckling of circular FGM plate with geometric imperfection
    • Li S.R., Zhang J.H., and Zhao Y.G. Nonlinear thermo-mechanical postbuckling of circular FGM plate with geometric imperfection. Thin-Wall Struct. 45 (2007) 528-536
    • (2007) Thin-Wall Struct. , vol.45 , pp. 528-536
    • Li, S.R.1    Zhang, J.H.2    Zhao, Y.G.3
  • 16
    • 0037983600 scopus 로고    scopus 로고
    • Nonlinear bending and post-buckling of a functionally graded circular plate under mechanical and thermal loadings
    • Ma L.S., and Wang T.J. Nonlinear bending and post-buckling of a functionally graded circular plate under mechanical and thermal loadings. Int. J. Solids Struct. 40 (2003) 3311-3330
    • (2003) Int. J. Solids Struct. , vol.40 , pp. 3311-3330
    • Ma, L.S.1    Wang, T.J.2
  • 17
    • 33746405079 scopus 로고    scopus 로고
    • Asymmetric flexural vibration and thermoelastic stability of FGM circular plates using finite element method
    • Prakash T., and Ganapathi M. Asymmetric flexural vibration and thermoelastic stability of FGM circular plates using finite element method. Compos. Part B 37 (2006) 642-649
    • (2006) Compos. Part B , vol.37 , pp. 642-649
    • Prakash, T.1    Ganapathi, M.2
  • 18
    • 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 (2008) 209-233
    • (2008) Acta Mech , vol.198 , pp. 209-233
    • Nosier, A.1    Fallah, F.2
  • 19
    • 85103554891 scopus 로고
    • The effect of transverse shear deformation on the bending of elastic plates
    • Reissner E. The effect of transverse shear deformation on the bending of elastic plates. J. Appl. Mech. 12 (1945) 69-77
    • (1945) J. Appl. Mech. , vol.12 , pp. 69-77
    • Reissner, E.1
  • 20
    • 0002484779 scopus 로고
    • On bending of elastic plates
    • Reissner E. On bending of elastic plates. Q. Appl. Math. 5 (1947) 55-68
    • (1947) Q. Appl. Math. , vol.5 , pp. 55-68
    • Reissner, E.1
  • 21
    • 0025792401 scopus 로고
    • A study of non-linear dynamic equations of higher order shear deformation plate theories
    • Nosier A., and Reddy J.N. A study of non-linear dynamic equations of higher order shear deformation plate theories. Int. J. Nonlinear Mech. 22 (1991) 233-249
    • (1991) Int. J. Nonlinear Mech. , vol.22 , pp. 233-249
    • Nosier, A.1    Reddy, J.N.2
  • 22
    • 21144470186 scopus 로고
    • On boundary layer and interior equations for higher order theories of plates
    • Nosier A., and Reddy J.N. On boundary layer and interior equations for higher order theories of plates. J. Appl. Math. Mech. (ZAMM) 72 (1992) 657-666
    • (1992) J. Appl. Math. Mech. (ZAMM) , vol.72 , pp. 657-666
    • Nosier, A.1    Reddy, J.N.2
  • 23
    • 0037591790 scopus 로고    scopus 로고
    • Study of edge-zone equation of Mindlin-Reissner plate theory
    • Nosier A., Yavari A., and Sarkani S. Study of edge-zone equation of Mindlin-Reissner plate theory. J. Eng. Mech. 126 (2000) 647-651
    • (2000) J. Eng. Mech. , vol.126 , pp. 647-651
    • Nosier, A.1    Yavari, A.2    Sarkani, S.3
  • 24
    • 0035202345 scopus 로고    scopus 로고
    • On a boundary layer phenomenon in Mindlin-Reissner plate theory for laminated circular sector plates
    • Nosier A., Yavari A., and Sarkani S. On a boundary layer phenomenon in Mindlin-Reissner plate theory for laminated circular sector plates. Acta Mech. 151 (2001) 149-161
    • (2001) Acta Mech. , vol.151 , pp. 149-161
    • Nosier, A.1    Yavari, A.2    Sarkani, S.3
  • 28
    • 2942548695 scopus 로고
    • On the large deflection of circular plates
    • Chien W.Z., and Yeh K.Y. On the large deflection of circular plates. Sci. Sin. 3 (1954) 405-436
    • (1954) Sci. Sin. , vol.3 , pp. 405-436
    • Chien, W.Z.1    Yeh, K.Y.2
  • 30
    • 43449134087 scopus 로고    scopus 로고
    • Nonlinear thermo-mechanical cylindrical bending of functionally graded plates
    • Fallah F., and Nosier A. Nonlinear thermo-mechanical cylindrical bending of functionally graded plates. Proc. IMechE, Part C: J. Mech. Eng. Sci. 222 C3 (2008) 305-318
    • (2008) Proc. IMechE, Part C: J. Mech. Eng. Sci. , vol.222 , Issue.C3 , pp. 305-318
    • Fallah, F.1    Nosier, A.2
  • 31
    • 0024032645 scopus 로고
    • Analysis of asymmetric composite laminates
    • Sun C.T., and Chin H. Analysis of asymmetric composite laminates. AIAA J. 26 (1988) 714-718
    • (1988) AIAA J. , vol.26 , pp. 714-718
    • Sun, C.T.1    Chin, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.