Finite element modelling of laminated composite: effects of different ply orientations

Main Article Content

Dragan Čukanović
Gordana Bogdanović
Aleksandar Radaković


The subject of analysis in this paper are laminated composites as an always popular topic in the field of composite materials. The introductory part of the paper presents a brief overview of the current state of research in this area and points out further directions of research related to this very interesting topic. The classification of laminated composite plates from the aspect of different criteria are described in detail. As the subject of the paper is stress-strain analysis of laminated composite, the expression for the generalized Hooke's law of orthotropic class of material symmetry is given. The terms of the constitutive matrix are expressed through engineering constants. At the end, the bending analysis of the rigidly supported laminated plate under a sinusoidal load was performed. The mentioned analysis was conducted using software based on the finite element method. A comparative analysis of the plate with the different ply orientation (0°/90°/90°/0° and -45°/45°/45°/-45°) was done. The obtained results were analyzed and appropriate conclusions were made.

Article Details

Original Scientific Papers


V. Birmana and G. A. Kardomateas, “Review of current trends in research and applications of sandwich structures”, Compos. Part B, Vol. 142, pp. 221-240,, (2018)

K.M. Liew, Z.Z. Pan and L.W. Zhang, “An overview of layerwise theories for composite laminates and structures: Development, numerical implementation and application”, Compos. Struct, Vol. 216, pp. 240-259,, (2019)

J. Galos, “Thin-ply composite laminates: a review”, Compos. Struct, Vol. 236, p. 111920, ,(2020)

Q. Guo, W. Yao, W. Li and N. Gupta, “Constitutive models for the structural analysis of composite materials for the finite element analysis: A review of recent practices”, Compos. Struct, Vol. 260, p. 113267,, (2021)

N. Garg, N. D. Chakladar, B. G. Prusty, C. Song and A. W. Phillips, “Modelling of laminated composite plates with weakly bonded interfaces using scaled boundary finite element method,” Int. J. Mech. Sci, Vol. 170, p. 105349,, (2020)

Z. Ullah, Ł. Kaczmarczyk, X.-Y. Zhou, B.G. Falzon and C.J. Pearce, “Review of current trends in research and applica-tions of sandwich structures”, Compos. Part B, Vol. 201, p. 108321,, (2020)

A. Radaković, D. Čukanović, D. Milosavljević, G. Bogdanović and S. Husović, “New shape function in buckling analy-sis of composite laminates used in transport vehicles”, Proceedings of 8th International Congress Motor Vehicles & Motors 2020, “ECOLOGY-VEHICLE AND ROAD SAFETY - EFFICIENCY”, Faculty of Engineering, University of Kraguje-vac, Kragujevac (Serbia), 8-9 October 2020, pp. 169-174, (2020)

A. Bendahmane, S. M. Hamza-Cherif, and M. N. Ouissi, “Free vibration analysis of variable stiffness composite lami-nate (VSCL) plates coupled with fluid”, Mech. Adv. Mater. Struc, Vol. 28, pp. 167-181,, (2021)

M. A. Benhenni, B. Adim, T. H. Daouadji, B. Abbès, F. Abbès, Y. Li and A. Bouzidane, “A Comparison of Closed-Form and Finite-Element Solutions for the Free Vibration of Hybrid Cross-Ply Laminated Plates”, Mech. Compos. Mater,” Vol. 55, pp. 181-194,, (2019)

D. Milosavljević, A. Radaković, D. Čukanović, G. Bogdanović and S. Husović, “New shape function in the free-vibration analysis of antisymmetric crossply composite laminates”, Scientific Publications of the State University of Novi Pazar, Series A: Applied Mathematics, Informatics & Mechanics, Vol. 13, pp. 27-42, (2021)

O. Saito, F. Yu and Y. Okabe, “Dispersion relation of Lamb waves in cross-ply composite laminates using multi-layered models”, Compos. Struct, Vol. 264, p. 113691,,(2021)

A. Radaković, G. Bogdanović, D. Milosavljević, Lj. Veljović and D. Čukanović, “Using high-order shear deformation theory in the analysis of Lamb’s waves propagation in materials reinforced with two families of fibers”, Acta Mech, Vol 228, pp. 187-200,, (2017).

G. Bogdanović, D. Milosavljević, A Radaković, D. Čukanović and V. Geroski, “Acoustical tensor and elastic wave propagation in anisotropic materials used in automotive industy s”, Mobility & Vehicle Mechanics, Vol 43, pp. 63-71,, (2017)

S. Thai, V. X. Nguyen and Q. X. Lieu, “Bending and free vibration analyses of multi-directional functionally graded plates in thermal environment: A three-dimensional Isogeometric Analysis approach”, Compos. Struct, Vol. 295, p. 115797,, (2022)

A. Radaković, D. Čukanović, G. Bogdanović, M. Blagojević, B. Stojanović, D. Dragović and N. Manić, “Thermal Buckling and Free Vibration Analysis of Functionally Graded Plate Resting on an Elastic Foundation According to High Order Shear Deformation Theory Based on New Shape Function”, App. Sci, Vol. 10, p. 4190, , (2020)

D. Čukanović, A. Radaković, G. Bogdanović, M. Milanović, H. Redžović and D. Dragović, “New Shape Function for the Bending Analysis of Functionally Graded Plate, Materials”, Vol. 11, p. 2381, , (2018)

A. Radaković, “Primena smicajnih deformacionih teorija viseg reda u makromehanickoj analizi kompozitnih laminata”, PhD Thesis, Univerzitet u Kragujevcu, Fakultet inženjerskih nauka, (Serbia), (2015).

S. Kostić, N. Vasović and J. Trivan, “Sensitivity of a Simple Earthquake Nucleation Model to Small Parameter Perturbation: Conditions for the Occurrence of Deterministic Chaos”, Vol. 1, pp. 27-33, (2022)

Most read articles by the same author(s)