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Meccanica
Erschienen in: Meccanica 3/2013

01.04.2013

Two-dimensional modeling of heterogeneous structures using graded finite element and boundary element methods

verfasst von: H. Ashrafi, K. Asemi, M. Shariyat, M. Salehi

Erschienen in: Meccanica | Ausgabe 3/2013

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Abstract

In the present work, graded finite element and boundary element methods capable of modeling behaviors of structures made of nonhomogeneous functionally graded materials (FGMs) composed of two constituent phases are presented. A numerical implementation of Somigliana’s identity in two-dimensional displacement fields of the isotropic nonhomogeneous problems is presented using the graded elements. Based on the constitutive and governing equations and the weighted residual technique, effective boundary element formulations are implemented for elastic nonhomogeneous isotropic solid models. Results of the finite element method are derived based on a Rayleigh–Ritz energy formulation. The heterogeneous structures are made of combined ceramic–metal materials, in which the material properties vary continuously along the in-plane or thickness directions according to a power law. To verify the present work, three numerical examples are provided in the paper.
Vorheriger Artikel An exact and asymptotic analysis of a diffraction problem
Nächster Artikel Development of a model for the analysis of wheel wear in railway vehicles

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Literatur
1.
Suresh S, Mortensen A (1998) Functionally graded materials. Institute of Materials. IOM Communications, London
2.
Miyamoto Y, Kaysser WA, Rabin BH (1999) Functionally graded materials: design, processing and applications. Kluwer, Netherlands, Dordrecht CrossRef
3.
Tornabene F (2009) Vibration analysis of functionally graded conical, cylindrical and annular shell structures with a four-parameter power-law distribution. Comput Methods Appl Mech Eng 198:2911–2935 ADSMATHCrossRef
4.
Tornabene F, Viola E (2009) Free vibration analysis of functionally graded panels and shells of revolution. Meccanica 44:255–281 MATHCrossRef
5.
Tornabene F, Viola E (2009) Free vibrations of four-parameter functionally graded parabolic panels and shell of revolution. Eur J Mech A, Solids 28:991–1013 MATHCrossRef
6.
Viola E, Tornabene F (2009) Free vibrations of three–parameter functionally graded parabolic panels of revolution. Mech Res Commun 36:587–594 CrossRef
7.
Malekzadeh P, Golbahar Haghighi MR, Atashi MM (2011) Free vibration analysis of elastically supported functionally graded annular plates subjected to thermal environment. Meccanica 46:893–913 MathSciNetCrossRef
8.
Zienkiewicz OC, Taylor RL (2005) The finite element method for solid and structural mechanics, 6th edn. Elsevier Butterworth-Heinemann, Oxford MATH
9.
Santare MH, Lambros J (2000) Use of graded finite elements to model the behavior of nonhomogeneous materials. J Appl Mech 67:819–822 MATHCrossRef
10.
Chinosi C, Della Croce L (2007) Approximation of functionally graded plates with non-conforming finite elements. J Comput Appl Math 210:106–115 MathSciNetADSMATHCrossRef
11.
Azadi M, Shariyat M (2010) Nonlinear transient transfinite element thermal analysis of thick-walled FGM cylinders with temperature-dependent material properties. Meccanica 45:305–318 MathSciNetCrossRef
12.
Shariyat M (2012) A general nonlinear global-local theory for bending and buckling analyses of imperfect cylindrical laminated and sandwich shells under thermomechanical loads. Meccanica 47:301–319 MathSciNetCrossRef
13.
Asemi K, Akhlaghi M, Salehi M (2012) Dynamic analysis of thick short length FGM cylinders. Meccanica 47:1441–1453 MathSciNetCrossRef
14.
Nguyen–Xuan H, Tran LV, Thai CH, Nguyen-Thoi T (2012) Analysis of functionally graded plates by an efficient finite element method with node-based strain smoothing. Thin-Walled Struct 54:1–18 CrossRef
15.
Paris F, Canas J (1997) Boundary element method. Oxford University Press, New York MATH
16.
Aliabadi MH (2002) The boundary element method: applications in solids and structures. Wiley, New York MATH
17.
Aliabadi MH, Wen PH (2011) Boundary element methods in engineering and sciences. Imperial College Press, London
18.
Kim J-H, Paulino GH (2002) Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials. J Appl Mech 69:502–514 MATHCrossRef
19.
Tornabene F, Viola E, Inman DJ (2009) 2-D differential quadrature solution for vibration analysis of functionally graded conical, cylindrical and annular shell structures. J Sound Vib 328:259–290 ADSCrossRef
20.
Tornabene F, Liverani A, Caligiana G (2011) FGM and laminated doubly curved shells and panels of revolution with a free-form meridian: A 2-D GDQ solution for free vibrations. Int J Mech Sci 53:446–470 CrossRef
21.
Dave EV, Paulino GH, Buttlar WG (2011) Viscoelastic functionally graded finite element method using correspondence principle. J Mater Civ Eng 23:39–48 CrossRef
22.
Singh IV, Mishra BK, Bhattacharya S (2011) XFEM simulation of cracks, holes and inclusions in functionally graded materials. Int J Mech Mater Des 7:199–218 CrossRef
23.
Sladek J, Sladek V, Zhang C, Schanz M (2006) Meshless local Petrov-Galerkin method for continuously nonhomogeneous linear viscoelastic solids. Comput Mech 37:279–289 MATHCrossRef
24.
Gray LJ, Kaplan T, Richardson JD, Paulino GH (2003) Green’s function and boundary integral analysis for exponentially graded materials: heat conduction. J Appl Mech 40:543–549 CrossRef
25.
Kuo HY, Chen T (2005) Steady and transient green’s functions for anisotropic conduction in an exponentially graded solid. Int J Solids Struct 42:1111–1128 MathSciNetMATHCrossRef
26.
Chan YS, Gray LJ, Kaplan T, Paulino GH (2004) Green’s function for a two-dimensional exponentially graded elastic medium. Proc R Soc A 460:1689–1706 MathSciNetADSMATHCrossRef
27.
Criado R, Ortiz JE, Mantic V (2007) Boundary element analysis of three-dimensional exponentially graded isotropic elastic solids. Comput Model Eng Sci 22:151–164 MathSciNetMATH
28.
Criado R, Gray LJ, Mantic V, Paris F (2008) Green’s function evaluation for three-dimensional exponentially graded elasticity. Int J Numer Methods Eng 74:1560–1591 MathSciNetMATHCrossRef
29.
Gao XW, Zhang C, Sladek J, Sladek V (2008) Fracture analysis of functionally graded materials by a BEM. Compos Sci Technol 68:1209–1215 CrossRef
30.
Ashrafi H, Bahadori MR, Shariyat M (2012) Two-dimensional modeling of functionally graded viscoelastic materials using a boundary element approach. Adv Mater Res 463–464:570–574 CrossRef
31.
Li XF, Peng XL (2009) A pressurized functionally graded hollow cylinder with arbitrarily varying material properties. J Elast 96:81–95 MathSciNetMATHCrossRef
32.
Chen YZ, Lin XY (2008) Elastic analysis for thick cylinders and spherical pressure vessels made of functionally graded materials. Comput Mater Sci 44:581–587 CrossRef
33.
Hongjun X, Zhifei S, Taotao Z (2006) Elastic analyses of heterogeneous hollow cylinders. Mech Res Commun 33:681–691 MATHCrossRef
34.
Tutuncu N, Ozturk M (2001) Exact solutions for stresses in functionally graded pressure vessels. Composites, Part B, Eng 32:683–686 CrossRef
35.
Horgan CO (1999) The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials. J Elast 55:43–59 MathSciNetMATHCrossRef
36.
Nie GJ, Batra RC (2010) Exact solutions and material tailoring for functionally graded hollow circular cylinders. J Elast 99:179–201 MathSciNetMATHCrossRef
37.
Gao XW (2002) The radial integration method for evaluation of domain integrals with boundary-only discretization. Eng Anal Bound Elem 26:905–916 MATHCrossRef
38.
Ashrafi H, Farid M (2009) A mathematical boundary integral equation analysis of standard viscoelastic solid polymers. Comput Math Model 20:397–415 MATHCrossRef
39.
Ashrafi H, Bahadori MR, Shariyat M (2012) Modeling of viscoelastic solid polymers using a boundary element formulation with considering a body load. Adv Mater Res 463:499–504 CrossRef
40.
Wang BL, Mai YW (2005) Transient one-dimensional heat conduction problems solved by finite element. Int J Mech Sci 47:303–317 MATHCrossRef
41.
Shariyat M, Khaghani M, Lavasani SMH (2010) Nonlinear thermoelasticity, vibration, and stress wave propagation analyses of thick FGM cylinders with temperature-dependent material properties. Eur J Mech A, Solids 29:378–391 CrossRef
42.
Shariyat M, Lavasani SMH, Khaghani M (2010) Nonlinear transient thermal stress and elastic wave propagation analyses of thick temperature-dependent FGM cylinders, using a second-order point-collocation method. Appl Math Model 34:898–918 MathSciNetMATHCrossRef
43.
Hosseini SM, Sladek J, Sladek V (2011) Meshless local Petrov–Galerkin method for coupled thermoelasticity analysis of a functionally graded thick hollow cylinder. Eng Anal Bound Elem 35:827–835 MathSciNetCrossRef
Metadaten
Titel
Two-dimensional modeling of heterogeneous structures using graded finite element and boundary element methods
verfasst von
H. Ashrafi
K. Asemi
M. Shariyat
M. Salehi
Publikationsdatum
01.04.2013
Verlag
Springer Netherlands
Erschienen in
Meccanica / Ausgabe 3/2013
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-012-9623-5

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