Analytical Method on Bending of Composite Laminated Beams With Delaminations

HAN Hai-tao; ZHANG Zheng; LU Zi-xing

doi:10.3879/j.issn.1000-0887.2010.07.009

Volume 31 Issue 7

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Article Navigation > Applied Mathematics and Mechanics > 2010 > 31(7): 843-852

HAN Hai-tao, ZHANG Zheng, LU Zi-xing. Analytical Method on Bending of Composite Laminated Beams With Delaminations[J]. Applied Mathematics and Mechanics, 2010, 31(7): 843-852. doi: 10.3879/j.issn.1000-0887.2010.07.009

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Analytical Method on Bending of Composite Laminated Beams With Delaminations

doi: 10.3879/j.issn.1000-0887.2010.07.009

School of Aeronautical Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, P. R. China

Received Date: 1900-01-01
Rev Recd Date: 2010-05-14
Publish Date: 2010-07-15

Abstract

Abstract

Based on the first-order shear deformable beam theory, a refined model for composite beams containing a through-the-width delamination was presented, and the deformation at the delamination front was considered. Different from the ordinary delaminated beam theory, each of the perfectly bonded portions of the new model was constructed as two separated beams along the in terface, and the plane section assumption at the delamination front was released. The governing equations of the delaminated portions and bonded ones were established, combined with continuity conditions of displacements and internal forces. The solutions of delaminated composite beams with different boundary conditions, delamination locations and sizes were shown in excellent agreement with the finite element results, which demonstrate the efficiency and applicability of the presentmodel.
- composite,
- laminated beam,
- delamination,
- shear deformable theory

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References(11)

References

[1]	Chai H, Babcock C D, Knauss W G. One dimensional modeling of failure in laminated plates by delamination buckling[J]. International Journal of Solids and Structures, 1981, 17(11): 1069-1083. doi: 10.1016/0020-7683(81)90014-7
[2]	冯世宁, 陈浩然. 含分层损伤复合材料层合板非线性动力稳定性[J]. 复合材料学报, 2006, 23(1): 154-160.
[3]	朱菊芬, 牛海英. 双分层损伤层合梁屈曲有限元分析[J]. 大连理工大学学报, 2004, 44(1): 20-25.
[4]	Aslan Z, Sahin M. Buckling behavior and compressive failure of composite laminates containing multiple large delaminations[J]. Composite Structures, 2009, 89(3): 382-390. doi: 10.1016/j.compstruct.2008.08.011
[5]	Chen H P. Shear deformation theory for compressive delamination buckling and growth[J]. American Institute of Aeronautics and Astronautics Journal, 1991, 29(5): 813-819.
[6]	Moradi S, Taheri F. Application of differential quadrature method to the delamination buckling of composite plates[J]. Computers and Structures, 1999, 70(6): 615-623. doi: 10.1016/S0045-7949(98)00200-4
[7]	Rodman U, Saje M, Planinc I, Zupan D. Exact buckling analysis of composite elastic columns including multiple delaminations and transverse shear[J]. Engineering Structures, 2008, 30(6): 1500-1514. doi: 10.1016/j.engstruct.2007.10.003
[8]	Parlapalli M, Shu D W. Buckling analysis of two-layer beams with an asymmetric delamination[J]. Engineering Structures, 2004, 26(5): 651-658. doi: 10.1016/j.engstruct.2004.01.003
[9]	Gu H Z, Chattopadhyay A. A new higher-order plate theory in modeling delamination buckling of composites[J]. American Institute of Aeronautics and Astronautics Journal, 1994, 32(8): 1709-1716.
[10]	Wang J L, Qiao P Z. Novel beam analysis of end notched flexure specimen for mode—Ⅱ fracture[J]. Engineering Fracture Mechanics, 2004, 71(2): 219-231. doi: 10.1016/S0013-7944(03)00096-1
[11]	Wang J L, Qiao P Z. Interface crack between two shear deformable elastic layers[J]. Journal of the Mechanics and Physics of Solids, 2004, 52(4): 891-905. doi: 10.1016/S0022-5096(03)00121-2

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