# Analytical solution to bending of stiffened and continuous antisymmetric laminates

Curved and Layered Structures (2015)

- Volume: 2, Issue: 1
- ISSN: 2353-7396

## Access Full Article

top## Abstract

top## How to cite

topLiecheng Sun, and Issam E. Harik. "Analytical solution to bending of stiffened and continuous antisymmetric laminates." Curved and Layered Structures 2.1 (2015): null. <http://eudml.org/doc/276903>.

@article{LiechengSun2015,

abstract = {Analytical Strip Method is presented for the analysis of the bending-extension coupling problem of stiffened and continuous antisymmetric thin laminates. A system of three equations of equilibrium, governing the general response of antisymmetric laminates, is reduced to a single eighth-order partial differential equation (PDE) in terms of a displacement function. The PDE is then solved in a single series form to determine the displacement response of antisymmetric cross-ply and angle-ply laminates. The solution is applicable to rectangular laminates with two opposite edges simply supported and the other edges being free, clamped, simply supported, isotropic beam supports, or point supports.},

author = {Liecheng Sun, Issam E. Harik},

journal = {Curved and Layered Structures},

keywords = {Analytical solution; Laminates; Plates; Bending-extension coupling; Beams; Point loads},

language = {eng},

number = {1},

pages = {null},

title = {Analytical solution to bending of stiffened and continuous antisymmetric laminates},

url = {http://eudml.org/doc/276903},

volume = {2},

year = {2015},

}

TY - JOUR

AU - Liecheng Sun

AU - Issam E. Harik

TI - Analytical solution to bending of stiffened and continuous antisymmetric laminates

JO - Curved and Layered Structures

PY - 2015

VL - 2

IS - 1

SP - null

AB - Analytical Strip Method is presented for the analysis of the bending-extension coupling problem of stiffened and continuous antisymmetric thin laminates. A system of three equations of equilibrium, governing the general response of antisymmetric laminates, is reduced to a single eighth-order partial differential equation (PDE) in terms of a displacement function. The PDE is then solved in a single series form to determine the displacement response of antisymmetric cross-ply and angle-ply laminates. The solution is applicable to rectangular laminates with two opposite edges simply supported and the other edges being free, clamped, simply supported, isotropic beam supports, or point supports.

LA - eng

KW - Analytical solution; Laminates; Plates; Bending-extension coupling; Beams; Point loads

UR - http://eudml.org/doc/276903

ER -

## References

top- [1] Biswal K.C., Ghosh A.K., Finite element analysis for stiffened laminated plates using higher order shear deformation theory, Computers & Structures, 1994, 53(1), 161-171. Zbl0876.73063
- [2] Kolli M., Chandrashekhara K., Finite element analysis of stiffened laminated plates under transverse loading, Composites Science and Technology, 1996, 56(12), 1355-1361.[Crossref]
- [3] Kumar Y.V.S., Mukhopadhyay M., A new triangular stiffened plate element for laminate analysis, Composites Science and Technology, 2000, 60(6), 935-943.[Crossref]
- [4] Barik M., Mukhopadhyay M., A new stiffened plate element for the analysis of arbitrary plates, Thin-Walled Structures, 2002, 40 (7-8), 625-639.
- [5] Harik I.E., Guo M., Ren W.X., Bending analysis of stiffened laminated plates, Advances in Structural Engineering, 2002, 5(3), 153-163.
- [6] Li L., Ren X., Stiffened plate bending analysis in terms of refined triangular laminated plate element, Composite Structures, 2010, 92(12), 2936-2945.
- [7] Thinh T.I., Quoc T.H., Finite element modeling and experimental study on bending and vibration of laminated stiffened glass fiber/polyester composite plates, Computational Materials Science, 2010, 49(4), Supplement, S383-S389.
- [8] Bhar A., Phoenix S.S., Satsangi S.K., Finite element analysis of laminated composite stiffened plates using FSDT and HSDT: A comparative perspective, Composite Structures, 2010, 92(2), 312-321.
- [9] Li D.H., Liu Y., Zhang X., Low-velocity impact responses of the stiffened composite laminated plates based on the progressive failure model and the layerwise/solid-elements method, Composite Structures, 2014, 110, 249-275.
- [10] Hariri H., Bernard Y., Razek A., A two dimensions modeling of non-collocated piezoelectric patches bonded on thin structure, Curved and Layer. Struct., 2015, 2, 15–27.
- [11] Natarajan S., Ferreira A.J.M., Nguyen-Xuan H., Analysis of crossply laminated plates using isogeometric analysis and unified formulation, Curved and Layer. Struct., 2014, 1, 1-10.
- [12] Mukherjee A., Menghani L.C., Displacement and stress response of laminated beams and stiffened plates using a high-order element, Composite Structures, 1994, 28(1), 93-111.
- [13] Sadek E.A., Tawfik S.A., A finite element model for the analysis of stiffened laminated plates, Computers & Structures, 2000, 75(4), 369-383.
- [14] Qing G., Qiu J., Liu Y., Free vibration analysis of stiffened laminated plates, International Journal of Solids and Structures, 2006, 43(6), 1357-1371. Zbl1120.74535
- [15] Hadjiloizi D.A., Kalamkarov A.L., Metti, Ch., Georgiades A.V., Analysis of smart piezo-magneto-thermo-elastic composite and reinforced plates: Part I – model development, Curved and Layer. Struct., 2014, 1, 11–31.
- [16] Hadjiloizi D.A., Kalamkarov A.L., Metti, Ch., Georgiades A.V., Analysis of smart piezo-magneto-thermo-elastic composite and reinforced plates: Part II – applications, Curved and Layer. Struct., 2014, 1, 32–58.
- [17] Harik I.E., Bending of transversally loaded orthotropic rectangular and sector plates, Thesis submitted to Wayne State University, Detroit, Mich., in partial fulfillment of the requirement for the degree of Doctor of Philosophy, 1982.
- [18] Harik I.E., Salamoun G.L., Analytical strip solution to rectangular plates, Journal of Engineering Mechanics, 1986, 112(1), 105-118.
- [19] Harik I.E., Salamoun G.L., The analytical strip method of solution for stiffened rectangular plates, Computers & Structures, 1988, 29(2), 283-291. Zbl0634.73066
- [20] Sun L., Harik I.E., Application of the analytical strip method to antisymmetric laminates, ASCE Journal of Engineering Mechanics, 2010, 136(10), 1293-1298.
- [21] Kong, J. and Cheung, Y.K., Application of the spline finite strip to the analysis of shear-deformable plates, Computers and Structures, 1993, 46(6), 985-988.
- [22] ANSYS, Inc., Documentation for ANSYS, Revision 11.0, Canonsburg, PA, USA, 2007.
- [23] Whitney J.M., Leissa A.W., Analysis of heterogeneous anisotropic plates, ASME Journal of the Applied Mechanics, 1969, 36(2), 261–266. Zbl0181.52603
- [24] Sharma S., Iyengar N.G.R., Murthy PN. Buckling of antisymmetric cross- and angle-ply laminated plates, International Journal of Mechanical Sciences, 1980, 22(10), 607-620. Zbl0438.73036
- [25] Reddy J.N., Mechanics of laminated composite plates and shells, Theory and Analysis, 2nd Ed., CRC Press LLC, New York, 2004. Zbl1075.74001
- [26] Salamoun G.L., Harik I.E., Analytical strip solution for stiffened and continuous orthotropic rectangular plates, Report No. UKCE8503, Department of Civil Engineering, University of Kentucky, Lexington, KY, 1985. Zbl0634.73066
- [27] Editing Group of the Manual of Mathematics, Roots for quartic equation, Manual of mathematics, People's Education Press, Beijing, China, (Chinese), 1979, 87-90.
- [28] Sun, L., Analytical strip method to antisymmetric laminated plates, Ph. D. Dissertation, University of Kentucky, Lexington, KY, 2009.

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.