Analytical solution to bending of stiffened and continuous antisymmetric laminates

Liecheng Sun; Issam E. Harik

Curved and Layered Structures (2015)

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

Abstract

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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.

How to cite

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Liecheng 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

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  1. [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. [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. [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. [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. [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. [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. [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. [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. [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. [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. [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. [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. [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. [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. [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. [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. [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. [18] Harik I.E., Salamoun G.L., Analytical strip solution to rectangular plates, Journal of Engineering Mechanics, 1986, 112(1), 105-118. 
  19. [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. [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. [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. [22] ANSYS, Inc., Documentation for ANSYS, Revision 11.0, Canonsburg, PA, USA, 2007. 
  23. [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. [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. [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. [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. [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. [28] Sun, L., Analytical strip method to antisymmetric laminated plates, Ph. D. Dissertation, University of Kentucky, Lexington, KY, 2009. 

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