Nonlinear behavior of fiber reinforced cracked composite beams

다국어 초록 (Multilingual Abstract)

This paper presents geometrically nonlinear behavior of cracked fiber reinforced composite beams by using finite element method with and the first shear beam theory. Total Lagrangian approach is used in the nonlinear kinematic relations. The crack model is considered as the rotational spring which separate into two parts of beams. In the nonlinear solution, the Newton-Raphson is used with incremental displacement. The effects of fibre orientation angles, the volume fraction, the crack depth and locations of the cracks on the geometrically nonlinear deflections of fiber reinforced composite are examined and discussed in numerical results. Also, the difference between geometrically linear and nonlinear solutions for the cracked fiber reinforced composite beams.

참고문헌 (Reference)

1 Borneman, S. R., "Vibration Analysis of Cracked Stepped Laminated Composite Beams" 1 (1): 16-, 2009

2 Farokhi, H., "Thermo-mechanical dynamics of perfect and imperfect Timoshenko micro-beams" 91 : 12-33, 2015

3 Şeref D. Akbaş, "Thermal post-buckling analysis of a laminated composite beam" 국제구조공학회 67 (67): 337-346, 2018

4 Fan, Y., "The effects of matrix cracks on the nonlinear vibration characteristics of shear deformable laminated beams containing carbon nanotube reinforced composite layers" 124 : 216-228, 2017

5 Tada, H., "The Stress Analysis of Cracks Handbook" Paris Production Incorporated and Del Research Corporation 1985

6 Ebrahimi, F., "Surface effects on nonlinear dynamics of NEMS consisting of double-layered viscoelastic nanoplates" 132 (132): 172-, 2017

7 Farokhi, H., "Supercritical nonlinear parametric dynamics of Timoshenko microbeams" 59 : 592-605, 2018

8 Lal, A., "Stochastic Fracture Response and Crack Growth Analysis of Laminated Composite Edge Crack Beams Using Extended Finite Element Method" 9 (9): 1750061-, 2017

9 Chen, W. J., "Size-dependent free vibration analysis of composite laminated Timoshenko beam based on new modified couple stress theory" 83 : 431-444, 2013

10 Şeref D. Akbaş, "Post-buckling responses of a laminated composite beam" 국제구조공학회 26 (26): 733-743, 2018

11 Akbaş, Ş. D., "On post-buckling behavior of edge cracked functionally graded beams under axial loads" 15 (15): 1450065-, 2015

12 Bekir Akgöz, "Nonlinear vibration analysis of laminated plates restingon nonlinear two-parameters elastic foundations" 국제구조공학회 11 (11): 403-421, 2011

13 Ghayesh, M. H., "Nonlinear vibration analysis of axially functionally graded shear-deformable tapered beams" 59 : 583-596, 2018

14 Hasan Rahimi Pour, "Nonlinear vibration analysis of a nonlocal sinusoidal shear deformation carbon nanotube using differential quadrature method" 국제구조공학회 54 (54): 1061-1073, 2015

15 Ghayesh, M. H., "Nonlinear oscillations of functionally graded microplates" 122 : 56-72, 2018

16 Farokhi, H., "Nonlinear mechanics of electrically actuated microplates" 123 : 197-213, 2018

17 Ghayesh, M. H., "Nonlinear forced vibrations of a microbeam based on the strain gradient elasticity theory" 63 : 52-60, 2013

18 Ghayesh, M. H., "Nonlinear dynamics of microplates" 86 : 60-73, 2015

19 Ghayesh, M. H., "Nonlinear dynamics of a microscale beam based on the modified couple stress theory" 50 : 318-324, 2013

20 Farokhi, H., "Nonlinear dynamics of a geometrically imperfect microbeam based on the modified couple stress theory" 68 : 11-23, 2013

21 Farokhi, H., "Nonlinear dynamical behaviour of geometrically imperfect microplates based on modified couple stress theory" 90 : 133-144, 2015

22 Civalek, Ö., "Nonlinear dynamic response of laminated plates resting on nonlinear elastic foundations by the discrete singular convolution-differential quadrature coupled approaches" 50 : 171-179, 2013

23 Ghayesh, M. H., "Nonlinear behaviour of electrically actuated MEMS resonators" 71 : 137-155, 2013

24 Akbaş, Ş. D., "Nonlinear Thermal Displacements of Laminated Composite Beams" 7 (7): 691-705, 2018

25 Na, W. J., "Multiscale Analysis of Transverse Cracking in Cross-Ply Laminated Beams using The Layer Wise Theory" 2 (2): 1-18, 2010

26 Krawczuk, M., "Modelling and vibration analysis of a cantilever composite beam with a transverse open crack" 183 (183): 69-89, 1995

27 Krawczuk, M., "Modal analysis of cracked, unidirectional composite beam" 28 (28): 641-650, 1997

28 Nikpur, K., "Local compliance of composite cracked bodies" 32 (32): 209-223, 1988

29 Şeref Doğuşcan Akbaş, "Large deflection analysis of edge cracked simple supported beams" 국제구조공학회 54 (54): 433-451, 2015

30 Şeref D. Akbaş, "Large deflection analysis of a fiber reinforced composite beam" 국제구조공학회 27 (27): 567-576, 2018

31 Gholipour, A., "In-plane and out-of-plane nonlinear size-dependent dynamics of microplates" 79 (79): 1771-1785, 2015

32 Şeref D. Akbaş, "Geometrically nonlinear analysis of a laminated composite beam" 국제구조공학회 66 (66): 27-36, 2018

33 T. Kocatürk, "Geometrically non-linear static analysis of a simply supported beam made of hyperelastic material" 국제구조공학회 35 (35): 677-697, 2010

34 Daneshmehr, A. R., "Free vibration analysis of cracked composite beams subjected to coupled bending–torsion loads based on a first order shear deformation theory" 37 (37): 10074-10091, 2013

35 Kısa, M., "Free vibration analysis of a cantilever composite beam with multiple cracks" 64 (64): 1391-1402, 2004

36 Shi, Y. B., "Fracture of delaminated unidirectional composite beams" 26 (26): 2172-2195, 1992

37 Toya, M., "Energy release rates for an interface crack embedded in a laminated beam subjected to three-point bending" 64 (64): 375-382, 1997

38 Karaagac, C., "Effects of an edge crack on the free vibration and lateral buckling of a cantilever laminated composite slender beam" 19 (19): 2506-2522, 2013

39 Ghoneam, S. M., "Dynamic analysis of open cracked laminated composite beams" 3 (3): 3-11, 1995

40 Jena, P. C., "Dynamic Study of Composite Cracked Beam by Changing the Angle of Bidirectional Fibres" 40 (40): 27-37, 2016

41 Demir, C., "Determination of critical buckling loads of isotropic, FGM and laminated truncated conical panel" 94 : 1-10, 2016

42 Khadidja Benselama, "Buckling analysis in hybrid cross-ply composite laminates on elastic foundation using the two variable refined plate theory" 국제구조공학회 55 (55): 47-64, 2015

43 Vinson, J. R., "Behaviour of structures composed of composite materials" Kluwer Academic Publishers 2002

44 Bayat, R., "Analytical solution for free vibration of laminated curved beam with magnetostrictive layers" 7 (7): 1550050-, 2015

45 Sun, H., "Analysis of damage characteristics for cracked composite structures using spectral element method" 14 (14): 430-439, 2012

46 Abdelouahed Tounsi, "A new and simple HSDT for thermal stability analysis of FG sandwich plates" 국제구조공학회 25 (25): 157-175, 2017