Influence of porosity on thermal buckling behavior of functionally graded beams

다국어 초록 (Multilingual Abstract)

The interest of this work is the analysis of the effect of porosity on the nonlinear thermal stability response of power law functionally graded beam with various boundary conditions. The modelling was done according to the Euler-Bernoulli beam model where the distribution of material properties is imitated polynomial function. The thermal loads are assumed to be not only uniform but linear as well non-linear and the temperature rises through the thickness direction. The effects of the porosity parameter, slenderness ratio and power law index on the thermal buckling of P-FG beam are discussed.

참고문헌 (Reference)

1 Şeref Doğuşcan Akbaş, "Wave propagation of a functionally graded beam in thermal environments" 국제구조공학회 19 (19): 1421-1447, 2015

2 Behrouz Karami, "Wave propagation analysis in functionally graded (FG) nanoplates under in-plane magnetic field based on nonlocal strain gradient theory and four variable refined plate theory" Informa UK Limited 25 (25): 1047-1057, 2018

3 Yan Cao, "Vibration response of FG-CNT-reinforced plates covered by magnetic layer utilizing numerical solution" 국제구조공학회 37 (37): 253-258, 2020

4 Rahmani, M., "Vibration analysis of different types of porous FG conical sandwich shells in various thermal surroundings" 6 (6): 416-432, 2020

5 Lazreg Hadji, "Vibration analysis of FGM beam: Effect of the micromechanical models" 테크노프레스 9 (9): 265-280, 2020

6 Emrah Madenci, "Variational approximate for high order bending analysis of laminated composite plates" 국제구조공학회 73 (73): 97-108, 2020

7 Farzad Ebrahimi, "Thermomechanical Vibration Behavior of FG Nanobeams Subjected to Linear and Non-Linear Temperature Distributions" Informa UK Limited 38 (38): 1360-1386, 2015

8 A. Fallah, "Thermo-mechanical buckling and nonlinear free vibration analysis of functionally graded beams on nonlinear elastic foundation" Elsevier BV 43 (43): 1523-1530, 2012

9 Abdelkader Safa, "Thermal vibration analysis of FGM beams using an efficient shear deformation beam theory" 테크노프레스 17 (17): 329-336, 2019

10 S. V. Levyakov, "Thermal elastica of shear-deformable beam fabricated of functionally graded material" Springer Science and Business Media LLC 226 (226): 723-733, 2015

11 Mohammed Abdulraoof Abdulrazzaq, "Thermal buckling of nonlocal clamped exponentially graded plate according to a secant function based refined theory" 국제구조공학회 35 (35): 147-157, 2020

12 M.M. Najafizadeh, "Thermal buckling of functionally graded circular plates based on higher order shear deformation plate theory" Elsevier BV 23 (23): 1085-1100, 2004

13 Kar, Vishesh R., "Thermal buckling behaviour of shear deformable functionally graded single/doubly curved shell panel with TD and TID properties" 테크노프레스 5 (5): 205-221, 2016

14 Y. Kiani, "Thermal buckling analysis of functionally graded material beams" Springer Science and Business Media LLC 6 (6): 229-238, 2010

15 R. Javaheri, "Thermal Buckling of Functionally Graded Plates" American Institute of Aeronautics and Astronautics (AIAA) 40 (40): 162-169, 2002

16 Farzad Ebrahimi, "Thermal Buckling Analysis of Size-Dependent FG Nanobeams Based on the Third-Order Shear Deformation Beam Theory" Springer Science and Business Media LLC 29 (29): 547-554, 2016

17 M. Jabbari, "Thermal Buckling Analysis of Functionally Graded Thin Circular Plate Made of Saturated Porous Materials" Informa UK Limited 37 (37): 202-220, 2014

18 Ahmad Farokhian, "Surface and small scale effects on the dynamic buckling of carbon nanotubes with smart layers assuming structural damping" 국제구조공학회 37 (37): 229-251, 2020

19 M.A. Eltaher, "Static and buckling analysis of functionally graded Timoshenko nanobeams" Elsevier BV 229 : 283-295, 2014

20 Raad M. Fenjan, "Scale-dependent thermal vibration analysis of FG beams having porosities based on DQM" 테크노프레스 8 (8): 283-292, 2020

21 Abdelaziz Timesli, "Prediction of the critical buckling load of SWCNT reinforced concrete cylindrical shell embedded in an elastic foundation" 사단법인 한국계산역학회 26 (26): 53-62, 2020

22 Youcef Gafour, "Porosity-dependent free vibration analysis of FG nanobeam using non-local shear deformation and energy principle" 테크노프레스 8 (8): 37-47, 2020

23 Mohamed A. Attia, "On the mechanics of functionally graded nanobeams with the account of surface elasticity" Elsevier BV 115 : 73-101, 2017

24 Gui-Lin She, "On resonance behavior of porous FG curved nanobeams" 국제구조공학회 36 (36): 179-186, 2020

25 M. Vinyas, "On frequency response of porous functionally graded magneto-electro-elastic circular and annular plates with different electro-magnetic conditions using HSDT" Elsevier BV 240 : 112044-, 2020

26 Vishesh R. Kar, "Nonlinear flexural vibration of shear deformable functionally graded spherical shell panel" 국제구조공학회 18 (18): 693-709, 2015

27 Mohammad Arefi, "Nonlinear electromechanical analysis of a functionally graded square plate integrated with smart layers resting on Winkler-Pasternak foundation" 국제구조공학회 16 (16): 195-211, 2015

28 Tayeb Si Tayeb, "Mechanical buckling of FG-CNTs reinforced composite plate with parabolic distribution using Hamilton's energy principle" 테크노프레스 8 (8): 135-148, 2020

29 S.S. Akavci, "Mechanical behavior of functionally graded sandwich plates on elastic foundation" Elsevier BV 96 : 136-152, 2016

30 X. Zhao, "Mechanical and thermal buckling analysis of functionally graded plates" Elsevier BV 90 (90): 161-171, 2009

31 Nuttawit Wattanasakulpong, "Linear and nonlinear vibration analysis of elastically restrained ends FGM beams with porosities" Elsevier BV 32 (32): 111-120, 2014

32 Abdelbaki Chikh, "Investigations in static response and free vibration of a functionally graded beam resting on elastic foundations" Gruppo Italiano Frattura 14 (14): 115-126, 2020

33 Farzad Ebrahimi, "Investigating thermal effects on vibration behavior of temperature-dependent compositionally graded Euler beams with porosities" Springer Science and Business Media LLC 51 (51): 223-249, 2016

34 Lazreg Hadji, "Influence of the distribution shape of porosity on the bending of FGM beam using a new higher order shear deformation model" 국제구조공학회 26 (26): 253-262, 2020

35 Behrouz Karami, "Influence of homogenization schemes on vibration of functionally graded curved microbeams" Elsevier BV 216 : 67-79, 2019

36 Mohamed Ali Rachedi, "Impact of the homogenization models on the thermoelastic response of FG plates on variable elastic foundation" 테크노프레스 22 (22): 65-80, 2020

37 Mesut Şimşek, "Fundamental frequency analysis of functionally graded beams by using different higher-order beam theories" Elsevier BV 240 (240): 697-705, 2010

38 Serge Abrate, "Functionally graded plates behave like homogeneous plates" Elsevier BV 39 (39): 151-158, 2008

39 Mehmet Avcar, "Free vibration of imperfect sigmoid and power law functionally graded beams" 국제구조공학회 30 (30): 603-615, 2019

40 Behnam Daraei, "Free vibration analysis of axially moving laminated beams with axial tension based on 1D refined theories using Carrera unified formulation" 국제구조공학회 37 (37): 37-49, 2020

41 Chikh Abdelbaki, "Free Vibration Analysis of Simply Supported P-FGM Nanoplate Using a Nonlocal Four Variables Shear Deformation Plate Theory" Walter de Gruyter GmbH 69 (69): 9-24, 2019

42 Hadji, L., "Free Vibration Analysis of FG Porous Sandwich Plates under Various Boundary Conditions" 7 (7): 505-519, 2021

43 M. M. Najafizadeh, "First-Order-Theory-Based Thermoelastic Stability of Functionally Graded Material Circular Plates" American Institute of Aeronautics and Astronautics (AIAA) 40 (40): 1444-1450, 2002

44 Ton-That, H. L., "Finite Element Analysis of Functionally Graded Skew Plates in Thermal Environment based on the New Third-order Shear Deformation Theory" 6 (6): 1044-1057, 2020

45 L.S. Ma, "Exact solutions for nonlinear static responses of a shear deformable FGM beam under an in-plane thermal loading" Elsevier BV 31 (31): 13-20, 2012

46 Abdellatif Selmi, "Exact solution for nonlinear vibration of clamped-clamped functionally graded buckled beam" 국제구조공학회 26 (26): 361-371, 2020

47 S. V. Levyakov, "Elastica solution for thermal bending of a functionally graded beam" Springer Science and Business Media LLC 224 (224): 1731-1740, 2013

48 Mohammad Arefi, "Elastic solution of a curved beam made of functionally graded materials with different cross sections" 국제구조공학회 18 (18): 659-672, 2015

49 D. Chen, "Elastic buckling and static bending of shear deformable functionally graded porous beam" Elsevier BV 133 : 54-61, 2015

50 Mohamed Amine Khadimallah, "Effect of power law index for vibration of armchair and zigzag single walled carbon nanotubes" 국제구조공학회 37 (37): 621-632, 2020

51 Mokhtar Nebab, "Effect of nonlinear elastic foundations on dynamic behavior of FG plates using four-unknown plate theory" 테크노프레스 17 (17): 447-462, 2019

52 Prashik Malhari Ramteke, "Effect of grading pattern and porosity on the eigen characteristics of porous functionally graded structure" 국제구조공학회 33 (33): 865-875, 2019

53 Behrouz Karami, "Dynamics of graphene-nanoplatelets reinforced composite nanoplates including different boundary conditions" 국제구조공학회 36 (36): 689-702, 2020

54 Ammar Boulal, "Buckling of carbon nanotube reinforced composite plates supported by Kerr foundation using Hamilton’s energy principle" 국제구조공학회 73 (73): 209-223, 2020

55 Tabasi, H. M., "Buckling and Free Vibration Analysis of Fiber Metal-laminated Plates Resting on Partial Elastic Foundation" 6 (6): 37-51, 2020

56 Esther Feldman, "Buckling analysis of functionally graded plates subjected to uniaxial loading" Elsevier BV 38 (38): 29-36, 1997

57 Bekir Akgöz, "Buckling analysis of functionally graded microbeams based on the strain gradient theory" Springer Science and Business Media LLC 224 (224): 2185-2201, 2013

58 M. Jabbari, "Buckling Analysis of a Functionally Graded Thin Circular Plate Made of Saturated Porous Materials" American Society of Civil Engineers (ASCE) 140 (140): 287-295, 2014

59 Muhittin Turan, "Axisymmetric analysis of a functionally graded layer resting on elastic substrate" 국제구조공학회 58 (58): 423-442, 2016

60 Farzad Ebrahimi, "Application of Eringen\'s nonlocal elasticity theory for vibration analysis of rotating functionally graded nanobeams" 국제구조공학회 17 (17): 837-857, 2016

61 Khaldoune Chami, "Analytical modeling of bending and free vibration of thick advanced composite beams resting on Winkler-Pasternak elastic foundation" 테크노프레스 19 (19): 91-101, 2020

62 Lazreg Hadji, "An analytical solution for bending and free vibration responses of functionally graded beams with porosities: Effect of the micromechanical models" 국제구조공학회 69 (69): 231-241, 2019

63 Kerimcan Celebi, "A unified method for stresses in FGM sphere with exponentially-varying properties" 국제구조공학회 57 (57): 823-835, 2016

64 Thanh Cuong-Le, "A three-dimensional solution for free vibration and buckling of annular plate, conical, cylinder and cylindrical shell of FG porous-cellular materials using IGA" Elsevier BV 259 : 113216-, 2020

65 Nebab, M, "A simple quasi-3D HDST for dynamic behavior of advanced composite plates with the effect of variables elastic foundations" 테크노프레스 21 (21): 415-431, 2020

66 Emrah Madenci, "A refined functional and mixed formulation to static analyses of fgm beams" 국제구조공학회 69 (69): 427-437, 2019

67 Mohammed Abdulraoof Abdulrazzaq, "A numerical method for dynamic characteristics of nonlocal porous metal-ceramic plates under periodic dynamic loads" 테크노프레스 7 (7): 27-42, 2020

68 M Mohammadi, "A novel analytical approach for the buckling analysis of moderately thick functionally graded rectangular plates with two simply-supported opposite edges" SAGE Publications 224 (224): 1831-1841, 2010

69 Ali. R. Vosoughi, "A hybrid inverse method for small scale parameter estimation of FG nanobeams" 국제구조공학회 20 (20): 1119-1131, 2016

70 Cuong Le Thanh, "A geometrically nonlinear size-dependent hypothesis for porous functionally graded micro-plate" Springer Science and Business Media LLC 2020

71 L.S. Ma, "A further discussion of nonlinear mechanical behavior for FGM beams under in-plane thermal loading" Elsevier BV 93 (93): 831-842, 2011

72 Mohamed Bourada, "2D and quasi 3D computational models for thermoelastic bending of FG beams on variable elastic foundation: Effect of the micromechanical models" 테크노프레스 22 (22): 361-374, 2020