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Volumn 24, Issue 4-6, 2012, Pages 377-390

Numerical modeling of functionally graded materials using a variational formulation

Author keywords

Finite element method; Functionally graded materials; Heterogeneous materials; Variational formulation

Indexed keywords

HETEROGENEOUS MATERIALS; MATERIAL COEFFICIENTS; VARIATIONAL FORMULATION;

EID: 84868555143     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00161-012-0244-y     Document Type: Article
Times cited : (23)

References (30)
  • 1
    • 84868554584 scopus 로고    scopus 로고
    • Technical University of Berlin, Institute of Mechanics, Chair of Continuums Mechanics and Material Theory, Computational Reality
    • Abali, B.E.: Technical University of Berlin, Institute of Mechanics, Chair of Continuums Mechanics and Material Theory, Computational Reality. http://www.lkm.tu-berlin.de/ComputationalReality (2011)
    • (2011)
    • Abali, B.E.1
  • 2
    • 43549095963 scopus 로고    scopus 로고
    • Synthesis and characterization of al/sic and ni/al203 functionally graded materials
    • Bhattacharyya, M., Kumar, A.N., Kapuria, S.: Synthesis and characterization of Al/SiC and Ni/Al203 functionally graded materials. Mater. Sci. Eng. A 487, 524-535 (2008)
    • (2008) Mater. Sci. Eng. , vol.A 487 , pp. 524-535
    • Bhattacharyya, M.1    Kumar, A.N.2    Kapuria, S.3
  • 3
    • 41649113763 scopus 로고    scopus 로고
    • Modeling and analysis of functionally graded materials and structures
    • Birman, V., Byrd, L.W.: Modeling and analysis of functionally graded materials and structures. Appl. Mech. Rev. 60(5), 195-216 (2007)
    • (2007) Appl. Mech. Rev. , vol.60 , Issue.5 , pp. 195-216
    • Birman, V.1    Byrd, L.W.2
  • 4
    • 32944456312 scopus 로고    scopus 로고
    • Application of graded finite elements for asphalt pavements
    • Buttlar, W.G., Paulino, G.H., Song, S.H.: Application of graded finite elements for asphalt pavements. J. Eng. Mech. 132(3), 240-248 (2006)
    • (2006) J. Eng. Mech. , vol.132 , Issue.3 , pp. 240-248
    • Buttlar, W.G.1    Paulino, G.H.2    Song, S.H.3
  • 6
    • 61449179253 scopus 로고    scopus 로고
    • 3d finite element simulation of sandwich panels with a functionally graded core subjected to low velocity impact
    • Etemadi, E., Afaghi Khatibi, A., Takaffoli, M.: 3D finite element simulation of sandwich panels with a functionally graded core subjected to low velocity impact. Compos. Struct. 89(1), 28-34 (2009)
    • (2009) Compos. Struct. , vol.89 , Issue.1 , pp. 28-34
    • Etemadi, E.1    Afaghi Khatibi, A.2    Takaffoli, M.3
  • 7
    • 84868565481 scopus 로고    scopus 로고
    • Gnu Public: Gnu General Public License
    • Gnu Public: Gnu General Public License (2007). http://www.gnu.org/ copyleft/gpl.html
    • (2007)
  • 9
    • 0011894114 scopus 로고
    • (Transl. by Townsend E.J.): The Open Court Publishing Co
    • Hilbert, D.: (Transl. by Townsend E.J.): The Foundations of Geometry. The Open Court Publishing Co. (1902)
    • (1902) The Foundations of Geometry
    • Hilbert, D.1
  • 11
    • 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), 853-864 (2004)
    • (2004) Eur. J. Mech. A/Solids , vol.23 , Issue.5 , pp. 853-864
    • Kashtalyan, M.1
  • 12
    • 67649670087 scopus 로고    scopus 로고
    • Revisiting displacement functions in three-dimensional elasticity of inhomogeneous media
    • Kashtalyan, M., Rushchitsky, J.J.: Revisiting displacement functions in three-dimensional elasticity of inhomogeneous media. Int. J. Solids Struct. 46(18-19), 3463-3470 (2009)
    • (2009) Int. J. Solids Struct. , vol.46 , Issue.18-19 , pp. 3463-3470
    • Kashtalyan, M.1    Rushchitsky, J.J.2
  • 13
    • 0036660685 scopus 로고    scopus 로고
    • Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials
    • Kim, J.H.: Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials. J. Appl. Mech. 69, 502-514 (2002)
    • (2002) J. Appl. Mech. , vol.69 , pp. 502-514
    • Kim, J.H.1
  • 15
    • 76249096812 scopus 로고    scopus 로고
    • Dolfin: Automated finite element computing
    • Logg, A., Wells, G.N.: Dolfin: automated finite element computing. ACM Trans. Math. Softw. 37(2), 20:1-20:28 (2010). http://www.dspace.cam.ac.uk/ handle/1810/221918/
    • (2010) ACM Trans. Math. Softw. , vol.37 , Issue.2 , pp. 201-2028
    • Logg, A.1    Wells, G.N.2
  • 17
    • 0142214637 scopus 로고    scopus 로고
    • Functionally graded materials for sensor and energy applications
    • Müller, E., Dravsar, V.C., Schilz, J., Kaysser, W.: Functionally graded materials for sensor and energy applications. Mater. Sci. Eng. A 362(1), 17-39 (2003)
    • (2003) Mater. Sci. Eng. , vol.A 362 , Issue.1 , pp. 17-39
    • Müller, E.1    Dravsar, V.C.2    Schilz, J.3    Kaysser, W.4
  • 19
    • 0015192865 scopus 로고
    • On the theory of elasticity of inhomogeneous media
    • Plevako, V.P.: On the theory of elasticity of inhomogeneous media. J. Appl. Math. Mech. 35, 806-881 (1971)
    • (1971) J. Appl. Math. Mech. , vol.35 , pp. 806-881
    • Plevako, V.P.1
  • 23
    • 0001294249 scopus 로고    scopus 로고
    • Use of graded finite elements to model the behavior of nonhomogeneous materials
    • Santare, M.H., Lambros, J.: Use of graded finite elements to model the behavior of nonhomogeneous materials. J. Appl. Mech. 67(4), 819-822 (2000)
    • (2000) J. Appl. Mech. , vol.67 , Issue.4 , pp. 819-822
    • Santare, M.H.1    Lambros, J.2
  • 24
    • 0142214631 scopus 로고    scopus 로고
    • Graded coatings for thermal, wear and corrosion barriers
    • Schulz, U., Peters, M., Bach, F.W., Tegeder, G.: Graded coatings for thermal, wear and corrosion barriers. Mater. Sci. Eng. A 362(1-2), 61-80 (2003)
    • (2003) Mater. Sci. Eng. , vol.A 362 , Issue.1-2 , pp. 61-80
    • Schulz, U.1    Peters, M.2    Bach, F.W.3    Tegeder, G.4
  • 26
    • 22444441192 scopus 로고    scopus 로고
    • Finite element simulations of crack propagation in functionally graded materials under flexural loading
    • Tilbrook, M.T., Moon, R.J., Hoffman, M.: Finite element simulations of crack propagation in functionally graded materials under flexural loading. Eng. Fract. Mech. 72(16), 2444-2467 (2005)
    • (2005) Eng. Fract. Mech. , vol.72 , Issue.16 , pp. 2444-2467
    • Tilbrook, M.T.1    Moon, R.J.2    Hoffman, M.3
  • 28
    • 0002017005 scopus 로고
    • On one case of bending of rectangular thick plate. Vestnik moskov
    • Vlasov, B.F.: On one case of bending of rectangular thick plate. Vestnik Moskov. Univ. Ser. Mat. Mekh. Astronom. Fiz. Khim. 25-34 (1957)
    • (1957) Univ. Ser. Mat. Mekh. Astronom. Fiz. Khim. , pp. 25-34
    • Vlasov, B.F.1
  • 29
    • 1542529846 scopus 로고    scopus 로고
    • Simulations of crack propagation in elastic-plastic graded materials
    • Wang, Z., Nakamura, T.: Simulations of crack propagation in elastic-plastic graded materials. Mech. Mater. 36(7), 601-622 (2004)
    • (2004) Mech. Mater. , vol.36 , Issue.7 , pp. 601-622
    • Wang, Z.1    Nakamura, T.2
  • 30
    • 33750353276 scopus 로고    scopus 로고
    • Hertzian contact response of single-layer, functionally graded and sandwich coatings
    • Zhang, X.C., Xu, B.S., Wang, H.D., Wu, Y.X., Jiang, Y.: Hertzian contact response of single-layer, functionally graded and sandwich coatings. Mater. Des. 28(1), 47-54 (2007)
    • (2007) Mater. Des. , vol.28 , Issue.1 , pp. 47-54
    • Zhang, X.C.1    Xu, B.S.2    Wang, H.D.3    Wu, Y.X.4    Jiang, Y.5


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