Istrazivanja i projektovanja za privreduJournal of Applied Engineering Science

ANALYTICAL SOLUTION FOR SIMPLY SUPPORTED LAMINATED COMPOSITE PLATES BASED ON PARTIAL LAYERWISE THEORY


DOI: 10.5937/jaes14-10470
This is an open access article distributed under the CC BY-NC-ND 4.0 terms and conditions. 
Creative Commons License

Volume 14 article 359 pages: 102-108

Marina Rakocevic,

University of Montenegro, Faculty of Civil Engineering, Cetinjski put b.b., Podgorica, Montenegro 

Anisotropic composition of layered composite plates requires more accurate mathematical and calculation models. By applying Reddy’s layerwise theory we can cover a wide range of problems of layered composite plates with arbitrary arrangement of layers through the plate thickness. The analytical method of solving bending equations in Layerwise Theory is based on the assumed displacement field in the form of the double trigonometric Fouriers series. The analytical solution can be used as a test solution for solutions obtained by using numerical methods, including finite element method. For Partial Layerwise Theory, the paper presents the equations of bending for laminated composite plates and the algorithm for calculation of deflections and stresses in an arbitrary cross section of a simply supported rectangular plate loaded with distributed load. On the basis of the algorithm presented in this paper, author has prepared Fortran program called ANSLACOP (ANalytical SOlution of LAminated COmposite Plates), whose structure will be presented in the paper. It is presented that the solution obtained by using this program very quickly converges depending on the adopted number of members of double trigonometric series.

View article


J.N. Reddy, “Theory and analysis of laminated composite plates“, Mechanics of Composite Materials and Structures, 1999, 1-79 

J.N. Reddy: “Mechanics of Laminated Composite Plates - Theory and Analysis“, Department of Mechanical Engineering, Texas A&M University ,1997

M. Rakocevic, Dj. Vuksanovic: “Analitical solution of laminated rectangular composite plates“, Monograph “Researches“, Editor A.Vujovic, Faculty of Civil Engineering, Podgorica, 2002, 253-266

M. Rakocevic, N.Vatin: “Bending of laminated composite plates“, Applied Mechanics and Materials, Vols. 725-726,2015, 667-673

M. Rakocevic: “Proracun krutosti slojevitih kompozitnih ploca“, Internacionalni naucno strucni skup GNP, Zbornik radova-knjiga 1,2006,20-24

M. Rakocevic: “Savijanje debelih i umjereno debelih slojevitih kompozitnih ploca“, Medjunarodna konferencija savremena dostignuca u gradjevinarstvu, Gradjevinski fakultet Subotica, Zbornik radova, 2014, 24-25

M. Rakocevic: “Teorijski modeli slojevitih kompozitnih ploca“, Treci internacionalno naucno-strucni skup GNP, Zbornik radova, 2010, 141-146

M. Rakocevic: “Approximate procedure for calculation of shear stresses σxz and σyz“, Journal of Applied Engineering Science, 10 (1), 2012, 37-42

M.Rakocevic: Proracun sastavljenih slojevitih ploca“, Gradjevinar, 63, 2011, pp. 819-825