Abstract
In the present research, uniaxial and biaxial critical buckling analysis of laminated porous composite plate was analysed by improved third-order shear deformation theory. The free surface at the top and bottom is ensured by zero transverse shear stress at the top and bottom of the plate. The various porosity distributions were introduced in the whole thickness of the plate. A 2D finite element model of the present mathematical model was developed to analyse the uniaxial and biaxial stressed behaviour of the porous plate. Imposed transverse shear stress continuity of individual layers, improved third-order theory gives better results for the porous plate compared to first-, second-, and third-order deformation theory. An in-house code using FORTRAN is developed by the authors. The effects of different modulus ratios, thickness ratios, fibre orientation angles, and material properties were investigated under uniaxial and biaxial compression of the laminated porous plate. The validation result is in good agreement with the literature. The convergence study is also done for the applicability and reliability of the model and hence the results using different numerical examples.
Similar content being viewed by others
Abbreviations
- 2D:
-
Two dimensional
- HZT:
-
Higher-order zigzag theory
- FSDT:
-
First-order shear deformation theory
- HSDT:
-
Higher-order shear deformation theory
- ITSDT:
-
Improve third-order shear deformation theory
- CPT:
-
Classical plate theory
References
Reddy JN, Khdeir AA (1989) Buckling and vibration of laminated composite plates using various plate theories. AIAA J 27:1808–1817. https://doi.org/10.2514/3.10338
Moita S, Soares CMM, Soares CAM (1996) Buckling behaviour of laminated composite structures using a discrete higher-order displacement model. Compos Struct 35:75–92
Singha MK, Ramachandra LS, Bandyopadhyay JN (2001) Thermal postbuckling analysis of laminated composite plates. Compos Struct 54:453–458
Wang J, Liew KM, Tan MJ, Rajendran S (2002) Analysis of rectangular laminated composite plates via FSDT meshless method. Int J Mech Sci 44:1275–1293
Taylor P, Chakrabarti A, Sheikh AH Mechanics of advanced materials and structures buckling of laminated composite plates by a new element based on higher order shear deformation theory buckling of laminated composite plates by a new element based on higher order shear 37–41. https://doi.org/10.1080/15376490390231809
Lee S, Park D (2007) Buckling analysis of laminated composite plates containing delaminations using the enhanced assumed strain solid element. Int J Solids Struct 44:8006–8027. https://doi.org/10.1016/j.ijsolstr.2007.05.023
Akavci SS, Tanrikulu AH (2008) Buckling and free vibration analyses of laminated composite plates by using two new hyperbolic shear-deformation theories. Mech Compos Mater 44:145–154
Xiao JR, Gilhooley DF, Mccarthy MA (2008) Analysis of thick composite laminates using a higher-order shear and normal deformable plate theory (HOSNDPT) and a meshless method. Compos Part B Eng 39:414–427. https://doi.org/10.1016/j.compositesb.2006.12.009
Lee C, Kim J (2010) Thermal post-buckling analysis of functionally graded composite plates with nonlinear aerodynamic forces. Int J Mech Sci 125:280–283. https://doi.org/10.4028/www.scientific.net/AMR.123-125.280
Allahbakhsh H, Dadrasi A (2012) Buckling analysis of laminated composite panel with elliptical cutout subject to axial compression. Model Simul Eng. https://doi.org/10.1155/2012/171953
Thai CH, Le T (2012) Static, free vibration, and buckling analysis of laminated composite Reissner–Mindlin plates using NURBS-based isogeometric approach. https://doi.org/10.1002/nme
Loc TV, Hiep PDH, Hung NX (2012) Thermal buckling analysis of laminated composite plates using edge-based smoothed discrete shear gap method. Ho Chi Minh City Open University J Sci Eng Technol 2(1):30–39
(2012) Buckling analysis of laminated composite plates using an efficient C 0 FE model 1:1–13
Srinivasa CV, Suresh YJ, Prema Kumar WP (2012) Buckling studies on laminated composite skew plates. Int J Comput Appl 37:35–47. https://doi.org/10.5120/4575-6612
Grover N, Maiti DK, Singh BN (2013) A new inverse hyperbolic shear deformation theory for static and buckling analysis of laminated composite and sandwich plates. Compos Struct 95:667–675. https://doi.org/10.1016/j.compstruct.2012.08.012
Khandelwal RP, Chakrabarti A, Bhargava P (2013) Vibration and buckling analysis of laminated sandwich plate having soft core. Int J Str Stab Dyn. https://doi.org/10.1142/S021945541350034X
Narayana AL, Rao K (2014) Buckling analysis of rectangular composite plates with rectangular cutout subjected to linearly varying in-plane loading using fem. Sadhana 39:583–596
Torabizadeh MA (2015) Buckling of the composite laminates under mechanical loads with different layups using different plate theories. Adv Compos Lett 24(1):1–9. https://doi.org/10.1177/096369351502400103
Prashanth S, Indrajeeth MS, Asha AV (2015) Nonlinear buckling analysis of laminated composite twisted plate. Res J Eng Sci 4:1–8
Patel SN, Abhishek PA, Reddy RD, S NA (2015) Dynamic buckling study of laminated composite stiffened plate, 1–17
Materials C, Vol RO (2015) Buckling analysis of laminated composite plates by using various higher-order shear deformation theories S. Xiang, 1* J. Wang, 1 Y. T. Ai, 2 and G.-Ch. Li 2, 51:645–654. https://doi.org/10.1007/s11029-015-9534-3
Adim B, Daouadji TH, Abbes B (2016) Buckling analysis of anti-symmetric cross-ply laminated composite plates under different boundary conditions. Int Appl Mech 52:661–676. https://doi.org/10.1007/s10778-016-0787-x
George A, Usha S (2016) Optimization of different shape of cutouts by buckling analysis of laminated composite plate. J Mech Civ Eng 21–25
Lengvarský S, Bocko J, Hagara M (2016) The buckling analysis of the composite plates with different orientations of layers. Am J Mech Eng 4:413–417. https://doi.org/10.12691/ajme-4-7-33
Shi P, Dong C, Sun F, Liu W, Hu Q (2018) A new higher order shear deformation theory for static, vibration and buckling responses of laminated plates with the isogeometric analysis. Compos Struct. https://doi.org/10.1016/j.compstruct.2018.07.080
Shiva K, Raghu P, Rajagopal A, Reddy JN (2019) Nonlocal buckling analysis of laminated composite plates considering surface stress effects. Compos Struct. https://doi.org/10.1016/j.compstruct.2019.111216
Anish AC, Kumar A, Kwiatkowski B, Barnat-Hunek D, Widomski MK (2019) Bi-axial buckling of laminated composite plates including cutout and additional mass. Materials 12(11):1–23
Bennaceur MA, Yuan-Ming Xu (2019) Buckling analysis and free vibration of composite laminates using natural element method. AIAA J 57(3):1303–1311. https://doi.org/10.2514/1.J057621
Sciences N, Ntayeesh TJ, Ismail MR, Saihood RG, Info A (2019) Buckling analysis of reinforced composite plates with a multiwall carbon nanotube (MWCNT). Periodic Eng Nat Sci 7:1275–1285
Safaei B, Moradi-dastjerdi R, Behdinan K (2019) Critical buckling temperature and force in porous sandwich plates with CNT reinforced nanocomposite layers. Aerosp Sci Technol. https://doi.org/10.1016/j.ast.2019.05.020.Copyright/License
Majeed WI (2019) Buckling analysis of laminated composite plate with different boundary conditions using modified Fourier series. J Eng 25:1–18
Plate L (2019) Plate with porosity 50:375–380. https://doi.org/10.22059/jcamech.2019.291967.448
Lal A, Parghi A, Mahto AK, Kumar R (2020) Buckling analysis of laminated composite plate due to localised in plane loading. IOP Conf Ser 814:1–6. https://doi.org/10.1088/1757-899X/814/1/012026
Hammed MB (2020) Thermal buckling analysis of laminated composite plates with general elastic boundary supports. J Eng 26:1–17
Ton-that HL, Nguyen-van H, Chau-dinh T (2020). Comptes Rendus Mécanique. https://doi.org/10.5802/crmeca.7
Nguyen PD, Vu Q, Papazafeiropoulos G, Th H, Vuong PM, Duc ND (2020) Optimization of laminated composite plates for maximum biaxial buckling load. VNU J Sci Math Phys 36:1–12
Rostamijavanani A, Sina MRE (2020) Thermal post-buckling analysis of laminated composite plates embedded with shape memory alloy fibers using semi-analytical finite strip method. J Fail Anal Prev. https://doi.org/10.1007/s11668-020-01068-5
Pany C (2021) Static, free vibration and buckling analysis of composite panels. A Review 9:21–45
Rajanna T, Arya B (2021) Thermal buckling behaviour of laminated composite trapezoidal panel under thermally induced loads. Am J Mater Sci 11:10–19. https://doi.org/10.5923/j.materials.20211101.02
Shabani Y, Khorshidi K (2022) Mechanics of advanced composite structures buckling analysis of sandwich structures with metamaterials core integrated by graphene nanoplatelets reinforced polymer composite 10:1–10. https://doi.org/10.22075/macs.2022.27361.1408
Evran S (2020) Numerical and statistical buckling analysis of laminated composite plates with functionally graded fiber orientation angles. Polym Polym Compos 28:502–512. https://doi.org/10.1177/0967391120936029
Niyogi SB, Wankhade RL, Gajbhiye PD (2020) Buckling analysis of laminated composites considering the effect of orthotropic material. J Phys Conf Ser 1706:21. https://doi.org/10.1088/1742-6596/1706/1/012188
Wankhade RL, Niyogi SB (2020) Buckling analysis of symmetric laminated composite plates for various thickness ratios and modes. Innov Infrastruct Solut 5:1–12. https://doi.org/10.1007/s41062-020-00317-8
Gopalan V, Suthenthiraveerappa V, David JS, Subramanian J, Raja Annamalai A, Jen CP (2021) Experimental and numerical analyses on the buckling characteristics of woven flax/epoxy laminated composite plate under axial compression. Polym (Basel). https://doi.org/10.3390/polym13070995
Garg A, Chalak HD (2022) Buckling analysis of laminated composite plates under thermal conditions. ASPS Conf Proc 1:1–5. https://doi.org/10.38208/acp.v1.463
Jeremić D, Radić N, Vučetić N (2022) Buckling analysis of simply supported square symmetric laminated 45–49
Fiedler L, Lacarbonara W, Vestroni F (2010) A generalized higher-order theory for buckling of thick multi-layered composite plates with normal and transverse shear strains. Compos Struct 92:3011–3019. https://doi.org/10.1016/j.compstruct.2010.05.017
Noor AK (1975) Stability of multilayered composite plates, Fibre. Sci Technol 8:81–89. https://doi.org/10.1016/0015-0568(75)90005-6
Nguyen-Van H, Mai-Duy N, Karunasena W, Tran-Cong T (2011) Buckling and vibration analysis of laminated composite plate/shell structures via a smoothed quadrilateral flat shell element with in-plane rotations. Comput Struct 89:612–625. https://doi.org/10.1016/j.compstruc.2011.01.005
Sheikh AH, Chakrabarti A (2003) A new plate bending element based on higher-order shear deformation theory for the analysis of composite plates. Finite Elem Anal Des 39:883–903. https://doi.org/10.1016/S0168-874X(02)00137-3
Khdeir AA (1988) Free vibration and buckling of symmetric cross-ply laminated plates by an exact method. J Sound Vib 126:447–461. https://doi.org/10.1016/0022-460X(88)90223-4
Liu GR, Zhao X, Dai KY, Zhong ZH, Li GY, Han X (2008) Static and free vibration analysis of laminated composite plates using the conforming radial point interpolation method. Compos Sci Technol 68:354–366. https://doi.org/10.1016/j.compscitech.2007.07.014
Fares ME, Zenkour AM (1999) Buckling and free vibration of non-homogeneous composite cross-ply laminated plates with various plate theories. Compos Struct 44:279–287. https://doi.org/10.1016/S0263-8223(98)00135-4
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors state that they have no conflicts of interest.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Kumar, R., Kumar, A. Analysis of biaxially stressed laminated composite porous plate. Innov. Infrastruct. Solut. 8, 312 (2023). https://doi.org/10.1007/s41062-023-01280-w
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s41062-023-01280-w