Bending of Laminated Composite Plates

Abstract:

In this work, there are presented overviews of theoretical and numerical models for defining the stress-strain state in the cross section of moderately thick and thick composite plates in case of bending. Layered composite plates are constructed by combination of layers of various materials and geometrical characteristics, wherein each of them has got a bearing capacity in previously defined directions. By applying Equivalent Single-layer Laminate Theory (or ESL theory) these layers' problems cannot be solved successfully. That is the reason to apply contemporary theories of plates, in literature known as Layerwise theories. At the end of this work, there are given numeric examples of applying Partial Layerwise Theory.

• Periodical: Applied Mechanics and Materials (Volumes 725-726)
• Pages: 667-673
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.725-726.667
• Online since: January 2015
• Authors: Marina Rakočević*, Nikolay Vatin
• Keywords: Laminated Composite Plate, Layerwise Theory, Thick Plate

References

[1] Robbins, D.H., Reddy, J.N. Variable kinematic modeling of laminated composite plates (1996) International journal for numerical methods in engineering, 39, pp.2283-2317.

DOI: 10.1002/(sici)1097-0207(19960715)39:13<2283::aid-nme956>3.0.co;2-m

[2] Redyy, J.N. Theory and analysis of laminated composite plates (1999) Mechanics of Composite Materials and Struktures, pp.1-79.

[3] Redyy, J.N., Tsay, C.S. Mixed rectangular finite elements for plate bending (1977) Proceedings of The Oklahoma Academy of science, 57, pp.456-467.

[4] Redyy, J.N., Robbins, D.H. Theories and computational models for composite laminates, (1994) American Society of Mechanical Engineers, pp.654-663.

[5] Redyy, J.N. Mechanics of Laminated Composite Plates - Theory and Analysis (1997) Department of Mechanical Engineering, Texas A&M University, College Station, pp.564-578.

[6] Redyy, J.N. A note on symmetry considerations in the transient response of unsymmetrical laminated anisotropic plates (1984) International journal for numerical methods in engineering, 20, pp.548-559.

[7] Redyy, J.N. On refined computational models of composite laminates (1989) International for Numerical Methods in Engineering, 27, pp.361-382.

[8] Stamatović, S., Stamatović, B. Limit theorem for high level A-upcrossings by χ-field (2005) Matematicki Vesnik, 57 (3-4), pp.99-108.

[9] Kovačič, B., Kamnik, R., Premrov, M. Deformation measurement of a structure with calculation of intermediate load phases (2011) Survey Review, 43 (320), pp.150-161.

DOI: 10.1179/003962611x12894696204902

[10] Redyy, J.N., Barbero, E.J. Modelling of thick composites using a layerwise laminate theory (1993) International journal for numerical methods in engineering, 36, pp.655-677.

DOI: 10.1002/nme.1620360407

[11] Brawn, A. M, Seugling, R.M. Using Plate Finite Elements for Modeling Fillets in Design (2003) Optimization and Dynamic Analysis, NASA/TP-2003-212340.

[12] Noor, A.K., Mathers, M.D. Finite element analysis of anisotropic plates (1988) International journal for numerical methods in engineering, 11, pp.289-307.

DOI: 10.1002/nme.1620110206

[13] Sarvestani, H.Y., Sarvestani, M.Y. Free-edge stress analysis of general composite laminates under extension, torsion and bending (2012) Applied Mathematical Modelling, 36 (4), pp.1570-1588.

DOI: 10.1016/j.apm.2011.09.028

[14] Andakhshideh, A., Tahani, M.: Interlaminar stresses in general thick rectangular laminated plates under in-plane loads (2013) Composites Part B: Engineering, 47, pp.58-69.

DOI: 10.1016/j.compositesb.2012.10.020

[15] Khandan, R., Noroozi, S., Sewell, P., Vinney, J. The development of laminated composite plate theories: A review (2012) Journal of Materials Science, 47 (16), pp.5901-5910.

DOI: 10.1007/s10853-012-6329-y

[16] Yazdani Sarvestani, H., Yazdani Sarvestani, M. Interlaminar stress analysis of general composite laminates (2011) International Journal of Mechanical Sciences, 53 (11), pp.958-967.

DOI: 10.1016/j.ijmecsci.2011.07.007

[17] Tahani, M., Andakhshideh, A. Interlaminar stresses in thick rectangular laminated plates with arbitrary laminations and boundary conditions under transverse loads (2012) Composite Structures, 94 (5), pp.1793-1804.

DOI: 10.1016/j.compstruct.2011.12.027

[18] Rakočević, M. Approximate procedure for calculation of shear stresses σxz and σyz (2012) Journal of Applied Engineering Science, 10 (1), pp.37-42.

DOI: 10.5937/jaes10-1663

[19] Rakočević, M. Teorijski modeli slojevitih kompozitnih ploča [Theoretical models of laminated composite plates] (2010) Treći internacionalno naučno-stručni skup GNP, Zbornik radova, pp.141-146.

DOI: 10.14415/konferencijagfs2014.147

[20] Rakočević, M., Vuksanović, Đ. Analitičko rješenje slojevitih pravougaonih kompozitnih ploč [Analitičko rješenje slojevitih pravougaonih kompozitnih ploča] (2000) Monografija, Podgorica pp.253-266.

DOI: 10.14415/konferencijagfs2014.147

[21] Rakočević, M. Proračun sastavljenih slojevitih ploča, [Proračun sastavljenih slojevitih ploča, izvorni znanstveni rad] (2011) Građevinar, 63, pp.819-825.

DOI: 10.14415/konferencijagfs2014.147

[22] Rakočević, M. Savijanje debelih i umjereno debelih slojevitih kompozitnih ploča [Bending of thick and moderately thick layered composite plates] (2014).

DOI: 10.14415/konferencijagfs2014.147