A study on low velocity impact response of FGM rectangular plates with 3D elasticity based graded finite element modeling

• Autorzy: Asemi K. , Jedari Salami S.

Identyfikatory

DOI

10.15632/jtam-pl.53.4.859

• Języki publikacji: EN

Abstrakty

EN

Low velocity impact behavior of rectangular plates made of functionally graded materials (FGMs) based on three-dimensional theory of elasticity is studied in this paper. The modified Hertz contact law, which is appropriate for graded materials, is employed. On the basis of the principle of minimum potential energy and the Rayleigh Ritz method, the graded finite element modeling is applied. Solution of the nonlinear resulted system of equations in the time domain is accomplished via an iterative numerical procedure based each time on Newmark’s integration method. The effects of various involved parameters, such as the graded property profile, projectile velocity and projectile density on time histories of contact force, lateral deflection and normal stresses are investigated in detail. To present efficiency of the present work, several numerical examples are included. The main novelty of the present research, which has not been reported in literature, is considering the difference of lateral deflection through the thickness of the FGM plate due to analyzing three-dimensional elasticity of the plate.

Słowa kluczowe

EN

low velocity impact; functionally graded plate; three-dimensional elasticity; graded finite element

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2015
• Tom: Vol. 53 nr 4
• Strony: 859—872
• Opis fizyczny: Bibliogr. 35 poz., rys.

Twórcy

autor

Asemi K.

• Department of Mechanical Engineering, Tehran North Branch, Islamic Azad University, Tehran, Iran

autor

Jedari Salami S.

• Department of Mechanical Engineering, Damavand Branch, Islamic Azad University, Damavand, Iran

Bibliografia

• 1. Abrate S., 1998, Impact on Composite Structures, Cambridge University Press
• 2. Asemi K., Salehi M., Akhlaghi M., 2010, Dynamic analysis of functionaly graded thick truncated cone, International Journal of Mechanics and Materials in Design, 6, 367-378
• 3. Asemi K., Akhlaghi M., Salehi M., 2012, Dynamic analysis of thick short FGM cylinders, Meccanica, 47, 1441-1453
• 4. Ashrafi H., Asemi K., Shariyat M., Salehi M., 2013, Two-dimensional modeling of heterogeneous structures using graded finite element and boundary element methods, Meccanica, 48,663-680
• 5. Behjat B., Salehi M., Sadighi M., Armin A., Abbasi M., 2009, Static, dynamic and free vibration analysis of functionally graded piezoelectric panels using finite element method, Journal of Intelligent Materials Systems and Structures, 20, 1635-1646
• 6. Conway H.D., 1956, Analytical model for delamination growth during small mass impact on plates, ZAMP, 7, 80-85
• 7. Dai H.L., Guo Z.Y., Yang L., 2012, Nonlinear dynamic response of functionally graded materials circular plates subject to low-velocity impact, Journal of Composite Materials, DOI: 10.1177/0021998312458132
• 8. Derras M., Kaci A., Draiche K., Tounsi A., 2013, Non-linear analysis of functionally graded plates in cylindrical bending based on a new refined shear deformation theory, Journal of Theoretical and Applied Mechanics, 51, 339-348
• 9. Etemadi E., Afaghi Khatibi A., Takaffoli M., 2009, 3D finite element simulation of sandwich panels with a functionally graded core subjected to low velocity impact, Composite Structures, 89, 28-34
• 10. Ghannad M., Nejad M.Z., 2013, Elastic solution of pressurized clamped-clamped thick cylindrical shells made of functionally graded materials, Journal of Theoretical and Applied Mechanics, 51, 1067-1079
• 11. Giannakopoulos A.E., Suresh S., 1997, Indentation of solids with gradients in elastic properties: part I. Point force, International Journal of Solids and Structures, 34, 2357-2392
• 12. Giannakopoulos A.E., Pallot P., 2000, Two-dimensional contact analysis of elastic graded materials, Journal of Mechanics and Physics of Solids, 48, 1597-1631
• 13. Gunes R., Aydin M., 2010, Elastic response of functionally graded circular plates under a drop- -weight, Composite Structures, 92, 2445-2456
• 14. Gunes R., Aydin M., Apalak M.K., Reddy J.N., 2011, The elasto-plastic impact analysis of functionally graded circular plates under low-velocities, Composite Structures, 93, 860-869
• 15. Khalili S.M.R., Malekzadeh K., Veysi Gorgabad A., 2013, Low velocity transverse impact response of functionally graded plates with temperature dependent properties, Composite Structures, 96, 64-74.
• 16. Kiani Y., Shakeri M., Eslami M.R., 2012, Thermoelastic free vibration and dynamic behaviour of an FGM doubly curved panel via the analytical hybrid Laplace-Fourier transformation, Acta Mechanica, 223, 1199-1218
• 17. Kim J.H., Paulino G.H., 2002, Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials, Journal of Applied Mechanics, 69, 502-514
• 18. Larson R.A., Palazotto A., 2006, Low velocity impact analysis of functionally graded circular plates, Proceedings of IMECE2006 2006 ASME International Mechanical Engineering Congress and Exposition, Chicago, Illinois, USA, paper No.: IMECE2006-14003
• 19. Larson R.A., Palazotto A.N., 2009, Property estimation in FGM plates subjected to low- -velocity impact loading, Journal of Mechanics of Materials and Structures, 4, 1429-1451
• 20. Larson R.A., Palazotto A.N., Gardenier H.E., 2009, Impact Response of titanium and titanium boride monolithic and functionally graded composite plates, AIAA Journal, 47, 676-691
• 21. Mao Y.Q., Fu Y.M., Chen C.P., Li Y.L., 2011, Nonlinear dynamic response for functionally graded shallow spherical shell under low velocity impact in thermal environment, Applied Mathematical Modelling, 35, 2887- 2900
• 22. Noda N., Ootao Y., Tanigawa Y., 2012, Transient thermoelastic analysis for a functionally graded circular disk with piecewise power law, Journal of Theoretical and Applied Mechanics, 50, 831-839
• 23. Olsson R., 1992, Impact response of orthotropic composite plates predicted from a one-parameter differential equation, AIAA Journal, 30, 1587-1596.
• 24. Qian L.F., Batra R.C., Chen L.M., 2004, Static and dynamic deformations of thick functionally graded elastic plates by using higher-order shear and normal deformable plate theory and meshless local Petrov-Galerkin method, Composites, Part B: Engineering, 35, 685-697
• 25. Shariyat M., Jafari R., 2013, Nonlinear low-velocity impact response analysis of a radially preloaded two-directional-functionally graded circular plate: a refined contact stiffness approach, Composites, Part B: Engineering, 45, 981-994
• 26. Shariyat M., Farzan F., 2013, Nonlinear eccentric low-velocity impact analysis of a highly prestressed FGM rectangular plate, using a refined contact law, Archive of Applied Mechanics, 83, 623-641
• 27. Sun Dan., Luo S.N., 2011, The wave propagation and dynamic response of rectangular functionally graded material plates with completed clamped supports under impulse load, European Journal of Mechanics – A/Solids, 30, 396-408
• 28. Swanson S.R., 2005, Contact deformation and stress in orthotropic plates, Composites A, 36, 1421-1429
• 29. Turner J.R., 1980, Contact on a transversely isotropic half-space, or between two transversely isotropic bodies, International Journal of Solids and Structures, 16, 409-419
• 30. Wirowski A., 2009, Free vibrations of thin annular plates made from functionally graded material, Proceedings in Applied Mathematics and Mechanics, 9, 261-262
• 31. Wirowski A., 2011, Different methods of modelling vibrations of plates made of functionally graded materials, Electronic Journal of Polish Agricultural Universities, 14, 3
• 32. Wirowski A., 2012, Self-vibration of thin plate band with non-linear functionally graded material, Archives of Mechanics, 64, 603-615
• 33. Yaghoobi H., Torabi M., 2013, An analytical approach to large amplitude vibration and post- -buckling of functionally graded beams rest on non-linear elastic foundation, Journal of Theoretical and Applied Mechanics, 51, 39-52
• 34. Zhang Z., Paulino G.H., 2007, Wave propagation and dynamic analysis of smoothly graded heterogeneous continua using graded finite elements, International Journal of Solids and Structures, 44, 3601-3626
• 35. Zienkiewicz O.C., Taylor R.L., 2005, The Finite Element Method for Solid and Structural Mechanics, Sixth Edition, Elsevier Butterworth-Heinemann, Oxford