Buckling Analysis of Laminated Composite Beams by Using an Improved First Order Formulation

Abstract:

In this work, a finite element model based on an improved first-order formulation (IFSDT) is developed to analyze buckling phenomenon in laminated composite beams. The formulation has five independent variables and takes into account thickness stretching. Three-dimensional constitutive equations are employed to define the material properties. The Trefftz criterion is used for the stability analysis. The finite element model is derived from the principle of virtual work with high-order Lagrange polynomials to interpolate the field variables and to prevent shear locking. Numerical results are compared and validated with those available in literature. Furthermore, a parametric study is presented.

• Periodical: Materials Science Forum (Volume 1033)
• Pages: 156-160
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.1033.156
• Online since: June 2021
• Authors: Shammely Ayala, Augusto Vallejos, Roman Arciniega*
• Keywords: Buckling Analysis, Finite Element Model, Improved First Order Beam Theory, Laminated Composite Materials, Stability

References

[1] J. N. Reddy, Mechanics of Laminated Composite Plates and Shells, second ed., CRC Press, Florida, (2004).

[2] R.M. Jones, Mechanics of Composite Materials, 2nd ed., Taylor & Francis, Philadelphia, (1999).

[3] Z.M. Li, P. Qiao, Buckling and postbuckling behavior of shear deformable anisotropic laminated beams with initial geometric imperfections subjected to axial compression, Eng. Struct. 85 (2015) 277–292.

DOI: 10.1016/j.engstruct.2014.12.028

[4] A.A. Khdeir, J.N. Reddy, Buckling of cross-ply laminated beams with arbitrary boundary conditions, Compos. Struct. 37 (1997) 1–3.

DOI: 10.1016/s0263-8223(97)00048-2

[5] A. Karamanli, M. Aydogdu, Buckling of laminated composite and sandwich beams due to axially varying in-plane loads, Compos. Struct. 210 (2019) 391–408.

DOI: 10.1016/j.compstruct.2018.11.067

[6] M. Aydogdu, Buckling analysis of cross-ply laminated beams with general boundary conditions by Ritz method, Compos. Sci. Technol. 66 (2006) 1248–1255.

DOI: 10.1016/j.compscitech.2005.10.029

[7] V. Kahya, Buckling analysis of laminated composite and sandwich beams by the finite element method, Compos. Part B Eng. 91 (2016) 126–134.

DOI: 10.1016/j.compositesb.2016.01.031

[8] T.P. Vo, H.T. Thai, F. Inam, Axial-flexural coupled vibration and buckling of composite beams using sinusoidal shear deformation theory, Arch. Appl. Mech. 83 (2013) 605–622.

DOI: 10.1007/s00419-012-0707-4

[9] R. Jones, Buckling of Bars, Plates, and Shells, Bull Bridge Publishing, Virginia, (2006).

[10] J. N. Reddy and R. A. Arciniega, Mechanical and thermal buckling of ceramic–metal plates, in: Woodhead Publishing Series in Civil and Structural Engineering, Woodhead Analysis and Design of Plated Structures, Eds. Woodhead Publishing, 2006, p.147–169.

DOI: 10.1533/9781845690960.147

[11] D. Brush and B. Almroth, Buckling of Bars, Plates and Shells, McGraw-Hill, New York, (1975).

[12] M. Karama, B.A. Harb, S. Mistou, S. Caperaa, Bending, buckling and free vibration of laminated composite with a transverse shear stress continuity model, Compos. Part B Eng. 29 (1998) 223–234.

DOI: 10.1016/s1359-8368(97)00024-3