تحلیل رفتاراستاتیکی تیر کامپوزیتی چند لایه با نظری جدید تغییر شکل برشی معکوس هیپربولیکی

[1] Tauchert T. R., On the Validity of Elementary Bending Theory for Anisotropic Elastic Slabs, Journal of Composite Materials, Vol. 9, pp. 207–214, 1975.

[2] Krajcinovic D., Sandwich Beam Analysis, Trans. ASME, Journal of Applied Mechanics, Vol. 39, No. 3, pp. 773–778, 1972.

[3] Ojalvo I. U., Departures from Classical Beam Theory in Laminated, Sandwich, and Short Beams, AIAA J., Vol. 15, No. 10, pp. 1518–1521, 1977.

[4] Swift G. W. and Heller R. A., Layered Beam Analysis, Journal of the Engineering Mechanics Division, Proceedings of ASCE, Vol. 100, pp. 267–282, 1974.

[5] Bert C. W., Simplified Analysis of Static Shear Factor for Beams of Nonhomogeneous Cross Section, Journal of Composite Materials, Vol. 7, pp. 525–529, 1973.

[6] Dharmarajan S. and McCutchen H. Jr., Shear Coefficient for Orthotropic Beams, Journal of Composite Materials, Vol. 7, pp. 530–535, 1973.

[7] Ambartsumyan S. A., Theory of Anisotropic Plates, J. E. Ashton, ed., Technomic Publishing Co., Inc., Lancaster, PA, 1970.

[8] Krishna Murty A. V. and Shimpi R. P., Vibration of Laminated Beams, Journal of Sound and Vibration, Vol. 36, pp. 273–284, 1974.

[9] Silverman I. K., Flexure of Laminated Beams, Journal of the Structural Division, Proceedings of ASCE, Vol. 106, pp. 711–725, 1980.

[10] Hu M. Z., Kolsky H. and Pipkin A. C., Bending Theory for Fiber Reinforced Beams, Journal of Composite Materials, Vol. 19, pp. 235–249, 1985.

[11] Khdeir A. A. and Reddy J. N., An Exact Solution for the Bending of Thin and Thick Cross-ply Laminated Beams, Composite Structures, Vol. 37, No. 2, pp. 195–203, 1997.

[12] Lo K. H., Christensen R. M. and Wu E. M., A Higher Order Theory for Plate Deformations, Part 1: Homogeneous Plates, ASME Journal of Applied Mechanics, Vol. 44, pp. 663–668, 1977.

[13] Lo K. H., Christensen R. M. and Wu E. M., A Higher Order Theory for Plate Deformations, Part 2: Laminated Plates, ASME Journal of Applied Mechanics, Vol. 44, pp. 669–676, 1977

[14] Kant T. and Manjunatha B. S., Refined Theories for Composite and Sandwich Beams with C0 Finite Elements, Computers and Structures, Vol. 33, pp. 755–764, 1989.

[15] Manjunatha, B. S. and Kant, T., 1993a, New Theories for Symmetric/Unsymmetric Composite and Sandwich Beams with C0 Finite Elements, Composite Structures, Vol. 23, pp. 61–73.

[16] Maiti D. K. and Sinha P. K., Bending and Free Vibration Analysis of Shear Deformable Laminated Composite Beams by Finite Element Method, Composite Structures, Vol. 29, pp. 421–431,1994.

[17] Soldatos K. P. and Elishakoff I., A Transverse Shear and Normal Deformable Orthotropic Beam Theory, Journal of Sound and Vibration, Vol. 154, No. 3, pp. 528–533, 1992.

[18] Murakami H., Reissner E. and Yamakawa J.,  Anisotropic Beam Theories with Shear Deformation, Trans. ASME, Journal of Applied Mechanics, Vol. 63, pp. 660–668, 1996.

[19] Reddy J. N., A Generalization of Two Dimensional Theories of Laminated Composite Plates, Communications in Applied Numerical Methods, Vol. 3, pp. 173–180, 1987.

[20] Lu, X. and Liu, D., An Interlaminar Shear Stress Continuity Theory for both Thin and Thick Composite Laminates, ASME Journal Applied Mechanics, Vol. 59, pp. 502–509, 1992

[21] Davalos J. F., Kim Y. and Barbero E. J., Analysis of Laminated Beams with a Layerwise Constant Shear Theory, Composite Structures, Vol. 28, pp. 241–253,1994.

[22] Silverman I. K., Orthotropic Beams under Polynomial Loads, Journal of the Engineering Mechanics Division, Proceedings of ASCE, Vol. 90, pp. 293–319, 1964.

[23] Lekhnitskii S. G., Anisotropic Plates, 2nd ed., Moscow, translated by Tsai, S. W. and Cheron, T., Gordon and Breach Science Publishers, New York, 1957.

[24] Rao K. M. and Ghosh B. G., Exact Analysis of Unsymmetric Laminated Beam, Journal of the Structural Division, ASCE, Vol. 105, pp. 2313–2325, 1979.

[25] Pagano N. J., Exact Solution for Composite Laminates in Cylindrical Bending, Journal of Composite Materials, Vol. 3, pp. 398–411, 1969.

[26] Pagano N. J., Influence of Shear Coupling in Cylindrical Bending of Anisotropic Laminates, Journal of Composite Materials, Vol. 4, pp. 330–343, 1970.

[27] Mohammadi Y.,  Khalili S.,  Reza M., Effect of geometrical and mechanical properties on behaviour of sandwich beams with functionally graded face sheets under indentation loading. Journal Of Materials Design and Application;Vol. 225 No. 4  231-244, 2011.

[28] Holt P. J. and Webber J. B. H., Exact Solutions to Some Honeycomb Sandwich Beam, Plate and Shell Problems, The Journal of Strain Analysis for Engineering Design, Vol. 17, No. 1, pp. 1–8, 1982.

[29] Kaczkowski Z. Plates. In: Statical calculations. Arkady, Warsaw; 1968

[30] Reddy J.N., A simple higher-order theory for laminated composite plates. J Appl Mech, Trans ASME; 51(4):745–52, 1984

[31] Viola E, Tornabene F, Fantuzzi N. General higher-order shear deformation Theories for the free vibration analysis of completely doubly-curved laminated shells and panels.ComposStruct; 95:639–66, 2013.

[32] Mantari JL, Oktem AS, Guedes Soares C. A new highe rorder shear deformation theory for sandwich and composite laminated plates.ComposPartB:Eng2012; 43(3):1489–99.

[33] Mantari J.L, Oktem A.S, Guedes Soares C. A new trigonometric sheardeformation theory for isotropic ,laminated composite and sandwich plates.Int J Solids Struct  49(1):PP. 43–53, 2012.

[34] Mantari J.L, Oktem A.S., Guedes Soares C. Static and dynamic analysis of laminated composite and sandwich plates and shells by using a new higher- order shear deformation theory. Compos Struct 94(1):37–49, 2011.

[35] Aydogdu M. A new shear deformation theory for laminated composite plates. Compos Struct  89(1):94–101, 2009.

[36]Mantari J.L., Guedes  Soares C., Analysis of isotropic and multilayered platesand shells by usingageneralized higher-order shear deformation theory. Compos Struct  94(8):2640–56, 2012.

[37] Akavci SS, Tanrikulu AH. Buckling and free vibration analyses of laminated composite plates by using two new hyperbolic shear-deformation theories. Mech Compos Mater; 44(2):145–54, 2008.

[38] Aguiar R, Moleiro F, Soares CM. Assessment of mixed and displacement-based models for static analysis of composite beams of different cross-sections. Compos Struct; 94(2):601-16, 2012.

[39] Khdeir AA, Reddy JN. An exact solution for the bending of thin and thick crossply laminated beams. Compos Struct; 37(2):PP.195–203,1997.

[40] Thuc P. VO, Huu-Tai Thai. Static behavior of composite beams using various refined shear deformation theories. Composite Structures 94 PP. 2513–2522, 2012.

[41]Chakraborty A, Mahapatra DR, Gopalakrishnan S. Finite element analysis of free vibration and wave propagation in asymmetric composite beams with structural discontinuities. Compos Struct,; 55(1):PP 23–36, 2002.

[42] Murthy MVVS, Mahapatra DR, Badarinarayana K, Gopalakrishnan S. A refined higher order finite element for asymmetric composite beams. Compos Struct; 67(1):PP. 27–35, 2005.

[43] Zenkour AM. Transverse shear and normal deformation theory for bending analysis of laminated and sandwich elastic beams. Mech Compos Mater Struct1999; 6:267–83.

[44] Neeraj Grover, D.K. Maiti B.N. Singh., 2012, A new inverse hyperbolic shear deformation theory for static and buckling analysis of laminated composite and sandwich plates, Composite structure 95, 667-675, 2013