메뉴 건너뛰기




Volumn 68, Issue , 2015, Pages 266-269

Some analytical solutions of functionally graded Kirchhoff plates

Author keywords

A. Plates; B. Elasticity; C. Analytical modeling

Indexed keywords

COMPUTATIONAL MECHANICS; FUNCTIONS; STRESSES;

EID: 84907601496     PISSN: 13598368     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compositesb.2014.08.048     Document Type: Article
Times cited : (65)

References (54)
  • 2
    • 0031213139 scopus 로고    scopus 로고
    • Micromechanical models for graded composite materials
    • T. Reiter, G.J. Dvorak, and V. Tvergaard Micromechanical models for graded composite materials J Mech Phys Solids 45 8 1997 1281 1302
    • (1997) J Mech Phys Solids , vol.45 , Issue.8 , pp. 1281-1302
    • Reiter, T.1    Dvorak, G.J.2    Tvergaard, V.3
  • 3
    • 0032156175 scopus 로고    scopus 로고
    • Micromechanical models for graded composite materials: II. Thermomechanical loading
    • T. Reiter, and G.J. Dvorak Micromechanical models for graded composite materials: II. Thermomechanical loading J Mech Phys Solids 46 9 1998 1655 1673
    • (1998) J Mech Phys Solids , vol.46 , Issue.9 , pp. 1655-1673
    • Reiter, T.1    Dvorak, G.J.2
  • 4
    • 4344715024 scopus 로고    scopus 로고
    • Non-local constitutive equations for functionally graded materials
    • R. Luciano, and J.R. Willis Non-local constitutive equations for functionally graded materials Mech Mater 36 12 2004 1195 1206
    • (2004) Mech Mater , vol.36 , Issue.12 , pp. 1195-1206
    • Luciano, R.1    Willis, J.R.2
  • 5
    • 33751550462 scopus 로고    scopus 로고
    • Micromechanical analysis of interfacial debonding in unidirectional fiber-reinforced composites
    • A. Caporale, R. Luciano, and E. Sacco Micromechanical analysis of interfacial debonding in unidirectional fiber-reinforced composites Comput Struct 84 31-32 2006 2200 2211
    • (2006) Comput Struct , vol.84 , Issue.3132 , pp. 2200-2211
    • Caporale, A.1    Luciano, R.2    Sacco, E.3
  • 6
    • 78649502475 scopus 로고    scopus 로고
    • Micromechanical analysis of periodic composites by prescribing the average stress
    • A. Caporale, and R. Luciano Micromechanical analysis of periodic composites by prescribing the average stress Ann Solid Struct Mech 1 2010 117 137
    • (2010) Ann Solid Struct Mech , vol.1 , pp. 117-137
    • Caporale, A.1    Luciano, R.2
  • 7
    • 79951555558 scopus 로고    scopus 로고
    • A theoretical and numerical stability analysis for composite micro-structures by using homogenization theory
    • F. Greco, and R. Luciano A theoretical and numerical stability analysis for composite micro-structures by using homogenization theory Composites Part B 42 3 2011 382 401
    • (2011) Composites Part B , vol.42 , Issue.3 , pp. 382-401
    • Greco, F.1    Luciano, R.2
  • 8
    • 84893774336 scopus 로고    scopus 로고
    • Nonlinear homogenized properties of defected composite materials
    • D. Bruno, F. Greco, R. Luciano, and P. Nevone Blasi Nonlinear homogenized properties of defected composite materials Comput Struct 134 2014 102 111
    • (2014) Comput Struct , vol.134 , pp. 102-111
    • Bruno, D.1    Greco, F.2    Luciano, R.3    Nevone Blasi, P.4
  • 9
    • 0032162501 scopus 로고    scopus 로고
    • Thermomechanical analysis of functionally graded cylinders and plates
    • J.N. Reddy, and C.D. Chin Thermomechanical analysis of functionally graded cylinders and plates J Therm Stresses 21 1998 593 626
    • (1998) J Therm Stresses , vol.21 , pp. 593-626
    • Reddy, J.N.1    Chin, C.D.2
  • 10
    • 0033908920 scopus 로고    scopus 로고
    • Analysis of functionally graded plates
    • J.N. Reddy Analysis of functionally graded plates Int J Numer Methods Eng 47 2000 663 684
    • (2000) Int J Numer Methods Eng , vol.47 , pp. 663-684
    • Reddy, J.N.1
  • 11
    • 0033887137 scopus 로고    scopus 로고
    • Three-dimensional thermoelastic deformations of a functionally graded-elliptic plate
    • Z.Q. Cheng, and R.C. Batra Three-dimensional thermoelastic deformations of a functionally graded-elliptic plate Composites Part B 31 2000 97 106
    • (2000) Composites Part B , vol.31 , pp. 97-106
    • Cheng, Z.Q.1    Batra, R.C.2
  • 12
    • 0036640788 scopus 로고    scopus 로고
    • Exact solution for thermoelastic deformations of functionally graded thick rectangular plates
    • S.S. Vel, and R.C. Batra Exact solution for thermoelastic deformations of functionally graded thick rectangular plates AIAA J 40 2002 1421 1433
    • (2002) AIAA J , vol.40 , pp. 1421-1433
    • Vel, S.S.1    Batra, R.C.2
  • 13
    • 0242337694 scopus 로고    scopus 로고
    • Three-dimensional analysis of transient thermal stresses in functionally-graded plates
    • S.S. Vel, and R.C. Batra Three-dimensional analysis of transient thermal stresses in functionally-graded plates Int J Solids Struct 40 25 2003 7181 7196
    • (2003) Int J Solids Struct , vol.40 , Issue.25 , pp. 7181-7196
    • Vel, S.S.1    Batra, R.C.2
  • 14
    • 0033327727 scopus 로고    scopus 로고
    • Higher-order theory for functionally graded materials
    • J. Aboudi, M.J. Pindera, and S.M. Arnold Higher-order theory for functionally graded materials Composites Part B 30 8 1999 777 832
    • (1999) Composites Part B , vol.30 , Issue.8 , pp. 777-832
    • Aboudi, J.1    Pindera, M.J.2    Arnold, S.M.3
  • 17
    • 0003350751 scopus 로고    scopus 로고
    • Mathematical elasticity
    • North-Holland Amsterdam
    • P.G. Ciarlet Mathematical elasticity Theory of plates vol. II 1997 North-Holland Amsterdam
    • (1997) Theory of Plates , vol.VOL. II
    • Ciarlet, P.G.1
  • 19
    • 0000565019 scopus 로고
    • Mémoire sur la théorie des plaques élastiques planes
    • M. Levy Mémoire sur la théorie des plaques élastiques planes J Math Pures Appl 3 1877 219 306
    • (1877) J Math Pures Appl , vol.3 , pp. 219-306
    • Levy, M.1
  • 21
    • 0026253626 scopus 로고
    • Analogies between bending of plates and torsion problem
    • H. Irschik Analogies between bending of plates and torsion problem J Eng Mech 117 11 1991 2503 2508
    • (1991) J Eng Mech , vol.117 , Issue.11 , pp. 2503-2508
    • Irschik, H.1
  • 22
    • 81255196345 scopus 로고    scopus 로고
    • Analysis of homogeneous and non-homogeneous plates
    • R. de Borst, T. Sadowski, Springer
    • H. Altenbach Analysis of homogeneous and non-homogeneous plates R. de Borst, T. Sadowski, Solid mechanics and its applications 2009 Springer 1 36
    • (2009) Solid Mechanics and Its Applications , pp. 1-36
    • Altenbach, H.1
  • 23
    • 84903174317 scopus 로고    scopus 로고
    • Hamiltonian system-based benchmark bending solutions of rectangular thin plates with a corner point-supported
    • R. Li, B. Wang, and P. Li Hamiltonian system-based benchmark bending solutions of rectangular thin plates with a corner point-supported Int J Mech Sci 85 2014 212 218
    • (2014) Int J Mech Sci , vol.85 , pp. 212-218
    • Li, R.1    Wang, B.2    Li, P.3
  • 24
    • 84877303932 scopus 로고    scopus 로고
    • Analytic bending solutions of free rectangular thin plates resting on elastic foundations by a new symplectic superposition method
    • R. Li, Y. Zhong, and M. Li Analytic bending solutions of free rectangular thin plates resting on elastic foundations by a new symplectic superposition method Proc R Soc A 469 2013 20120681
    • (2013) Proc R Soc , vol.469 A , pp. 20120681
    • Li, R.1    Zhong, Y.2    Li, M.3
  • 25
    • 84887827572 scopus 로고    scopus 로고
    • Analogies between Kirchhoff plates and Saint-Venant beams under torsion
    • R. Barretta Analogies between Kirchhoff plates and Saint-Venant beams under torsion Acta Mech 224 12 2013 2955 2964
    • (2013) Acta Mech , vol.224 , Issue.12 , pp. 2955-2964
    • Barretta, R.1
  • 26
    • 84904176555 scopus 로고    scopus 로고
    • Analogies between Kirchhoff plates and Saint-Venant beams under flexure
    • R. Barretta Analogies between Kirchhoff plates and Saint-Venant beams under flexure Acta Mech 225 2014 2075 2083
    • (2014) Acta Mech , vol.225 , pp. 2075-2083
    • Barretta, R.1
  • 28
    • 0042637364 scopus 로고
    • Zur Torsion von Prismatischen Stäben
    • L. Prandtl Zur Torsion Von Prismatischen Stäben Phys Zeitscrift 4 1903 758 770
    • (1903) Phys Zeitscrift , vol.4 , pp. 758-770
    • Prandtl, L.1
  • 29
    • 84882252119 scopus 로고    scopus 로고
    • On stress function in Saint-Venant beams
    • R. Barretta On stress function in Saint-Venant beams Meccanica 48 2013 1811 1816
    • (2013) Meccanica , vol.48 , pp. 1811-1816
    • Barretta, R.1
  • 31
    • 34548684583 scopus 로고    scopus 로고
    • Nonlinear shell theory: A duality approach
    • G. Romano, C. Sellitto, and R. Barretta Nonlinear shell theory: a duality approach J Mech Mater Struct 2 7 2007 1207 1230
    • (2007) J Mech Mater Struct , vol.2 , Issue.7 , pp. 1207-1230
    • Romano, G.1    Sellitto, C.2    Barretta, R.3
  • 33
    • 80052033169 scopus 로고    scopus 로고
    • A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes
    • B. Arash, and Q. Wang A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes Comput Mater Sci 51 2012 303 313
    • (2012) Comput Mater Sci , vol.51 , pp. 303-313
    • Arash, B.1    Wang, Q.2
  • 34
    • 84884410213 scopus 로고    scopus 로고
    • On the modeling of carbon nanotubes: A critical review
    • R. Rafiee, and R.M. Moghadam On the modeling of carbon nanotubes: a critical review Composites Part B 56 2014 435 449
    • (2014) Composites Part B , vol.56 , pp. 435-449
    • Rafiee, R.1    Moghadam, R.M.2
  • 35
    • 0020821706 scopus 로고
    • On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves
    • A.C. Eringen On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves J Appl Phys 54 1983 4703 4710
    • (1983) J Appl Phys , vol.54 , pp. 4703-4710
    • Eringen, A.C.1
  • 36
    • 33947547136 scopus 로고    scopus 로고
    • The constitutive relation and small scale parameter of nonlocal continuum mechanics for modelling carbon nanotubes
    • Q. Wang, and C.M. Wang The constitutive relation and small scale parameter of nonlocal continuum mechanics for modelling carbon nanotubes Nanotechnology 18 2007 075702
    • (2007) Nanotechnology , vol.18 , pp. 075702
    • Wang, Q.1    Wang, C.M.2
  • 37
    • 84868112200 scopus 로고    scopus 로고
    • Bond strength of near surface-mounted FRP plate for retrofit of concrete structures
    • S.-Y. Seo, L. Feo, and D. Hui Bond strength of near surface-mounted FRP plate for retrofit of concrete structures Compos Struct 95 2013 719 727
    • (2013) Compos Struct , vol.95 , pp. 719-727
    • Seo, S.-Y.1    Feo, L.2    Hui, D.3
  • 38
    • 84900857487 scopus 로고    scopus 로고
    • Analysis of masonry structures strengthened with polymeric net reinforced cementitious matrix materials
    • A. D'Ambrisi, M. Mezzi, L. Feo, and V.P. Berardi Analysis of masonry structures strengthened with polymeric net reinforced cementitious matrix materials Compos Struct 113 2014 264 271
    • (2014) Compos Struct , vol.113 , pp. 264-271
    • D'Ambrisi, A.1    Mezzi, M.2    Feo, L.3    Berardi, V.P.4
  • 39
    • 84868241355 scopus 로고    scopus 로고
    • Recent progress in research on tungsten materials for nuclear fusion applications in Europe
    • M. Rieth Recent progress in research on tungsten materials for nuclear fusion applications in Europe J Nucl Mater 432 2013 482 500
    • (2013) J Nucl Mater , vol.432 , pp. 482-500
    • Rieth, M.1
  • 40
    • 84875744949 scopus 로고    scopus 로고
    • Thermal and mechanical properties of infiltrated W/CuCrZr composite materials for functionally graded heat sink application
    • J.-H. You, A. Brendel, S. Nawka, T. Schubert, and B. Kieback Thermal and mechanical properties of infiltrated W/CuCrZr composite materials for functionally graded heat sink application J Nucl Mater 438 2013 1 6
    • (2013) J Nucl Mater , vol.438 , pp. 1-6
    • You, J.-H.1    Brendel, A.2    Nawka, S.3    Schubert, T.4    Kieback, B.5
  • 44
    • 18444402807 scopus 로고    scopus 로고
    • FE analysis of stress and strain fields in finite random composite bodies
    • R. Luciano, and J.R. Willis FE analysis of stress and strain fields in finite random composite bodies J Mech Phys Solids 53 7 2005 1505 1522
    • (2005) J Mech Phys Solids , vol.53 , Issue.7 , pp. 1505-1522
    • Luciano, R.1    Willis, J.R.2
  • 46
    • 21044443461 scopus 로고    scopus 로고
    • Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
    • T.J.R. Hughes, J.A. Cottrell, and Y. Bazilevs Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement Comput Meth Appl Mech Eng 194 2005 4135 4195
    • (2005) Comput Meth Appl Mech Eng , vol.194 , pp. 4135-4195
    • Hughes, T.J.R.1    Cottrell, J.A.2    Bazilevs, Y.3
  • 48
    • 84904267516 scopus 로고    scopus 로고
    • Generalized shear deformation theory for functionally graded isotropic and sandwich plates based on isogeometric approach
    • C.H. Thai, S. Kulasegaram, L.V. Tran, and H. Nguyen-Xuan Generalized shear deformation theory for functionally graded isotropic and sandwich plates based on isogeometric approach Comput Struct 141 2014 94 112
    • (2014) Comput Struct , vol.141 , pp. 94-112
    • Thai, C.H.1    Kulasegaram, S.2    Tran, L.V.3    Nguyen-Xuan, H.4
  • 49
    • 16344362864 scopus 로고    scopus 로고
    • Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method
    • A.J.M. Ferreira, R.C. Batra, C.M.C. Roque, L.F. Qian, and P.A.L.S. Martins Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method Compos Struct 69 4 2005 449 457
    • (2005) Compos Struct , vol.69 , Issue.4 , pp. 449-457
    • Ferreira, A.J.M.1    Batra, R.C.2    Roque, C.M.C.3    Qian, L.F.4    Martins, P.A.L.S.5
  • 51
    • 84867498539 scopus 로고    scopus 로고
    • Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique
    • A.M.A. Neves, A.J.M. Ferreira, E. Carrera, M. Cinefra, C.M.C. Roque, and R.M.N. Jorge Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique Composites Part B 44 2013 657 674
    • (2013) Composites Part B , vol.44 , pp. 657-674
    • Neves, A.M.A.1    Ferreira, A.J.M.2    Carrera, E.3    Cinefra, M.4    Roque, C.M.C.5    Jorge, R.M.N.6


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.