Solid Mechanics and Vehicle Conceptual Design

A new global-local higher order model for laminated composite beams

  • Junling SI ,
  • Shengqi YANG ,
  • Ying ZHANG
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  • 1.College of Engineering,Heilongjiang Bayi Agriculture University,Daqing 163319,China
    2.School of Mechanical and Equipment Engineering,Hebei University of Engineering,Handan 056038,China

Received date: 2024-12-26

  Revised date: 2025-01-23

  Accepted date: 2025-02-27

  Online published: 2025-03-06

Supported by

Daqing City Guided Science and Technology Plan Project(ZD-2024-25)

Abstract

To accurately calculate displacements and stresses of laminated composite beams under static loading, this paper develops a new model for laminated beams. The initial displacement field of the model includes two parts which are global and local displacements. Each layer of laminated beams can be depicted by local displacement unknown variables and shape functions. By applying the interlayer displacement and shear stress continuous conditions, as well as the free conditions for transverse shear stress on up-down surfaces of the laminated beam, the final displacement field of the model is obtained, expressed by six unknown displacement variables. Finally, through a classical example, numerical results of the model show that this theory can accurately calculate the in-plane displacements and stresses of laminated beams under static loading conditions. Notably, the transverse shear stress can be directly obtained from constitutive equations without any additional processing, making the model convenient for engineering applications.

Cite this article

Junling SI , Shengqi YANG , Ying ZHANG . A new global-local higher order model for laminated composite beams[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2025 , 46(18) : 231719 -231719 . DOI: 10.7527/S1000-6893.2025.31719

References

[1] 赵天, 李营, 张超, 等. 高性能航空复合材料结构的关键力学问题研究进展[J]. 航空学报202243(6): 526851.
  ZHAO T, LI Y, ZHANG C, et al. Fundamental mechanical problems in high-performance aerospace composite structures: State-of-art review[J]. Acta Aeronautica et Astronautica Sinica202243(6): 526851 (in Chinese).
[2] CHAI G B, YAP C W. Coupling effects in bending, buckling and free vibration of generally laminated composite beams[J]. Composites Science and Technology200868(7-8): 1664-1670.
[3] COWPER G R. The shear coefficient in Timoshenko’s beam theory[J]. Journal of Applied Mechanics196633(2): 335-340.
[4] REDDY J N. A simple higher-order theory for laminated composite plates[J]. Journal of Applied Mechanics198451(4): 745-752.
[5] MATSUNAGA H. A comparison between 2-D single-layer and 3-D layerwise theories for computing interlaminar stresses of laminated composite and sandwich plates subjected to thermal loadings[J]. Composite Structures200464(2): 161-177.
[6] SAYYAD A S, GHUGAL Y M, NAIK N S. Bending analysis of laminated composite and sandwich beams according to refined trigonometric beam theory[J]. Curved and Layered Structures20152(1): 279-289.
[7] MEICHE N E, TOUNSI A, ZIANE N, et al. A new hyperbolic shear deformation theory for buckling and vibration of functionally graded sandwich plate[J]. International Journal of Mechanical Sciences201153(4): 237-247.
[8] REDDY J N. A generalization of two-dimensional theories of laminated composite plates[J]. Communications in Applied Numerical Methods19873(3): 173-180.
[9] LEKHNITSKII S G. Strength calculation of composite beams[J]. Vestnik inzhen i tekhnikov19359: 137-148.
[10] CARRERA E. Historical review of Zig-Zag theories for multilayered plates and shells[J]. Applied Mechanics Reviews200356(3): 287.
[11] DI SCIUVA M. An improved shear-deformation theory for moderately thick multilayered anisotropic shells and plates[J]. Journal of Applied Mechanics198754(3): 589.
[12] DI SCIUVA M. Multilayered anisotropic plate models with continuous interlaminar stresses[J]. Composite Structures199222(3): 149-167.
[13] MURAKAMI H. Laminated composite plate theory with improved in-plane responses[J]. Journal of Applied Mechanics198653(3): 661-666.
[14] CHO M, PARMERTER R R. Efficient higher order composite plate theory for general lamination configurations[J]. AIAA Journal199331(7): 1299-1306.
[15] ICARDI U. Applications of zig-zag theories to sandwich beams[J]. Mechanics of Advanced Materials and Structures200310(1): 77-97.
[16] TESSLER A, DISCIUVA M, GHERLONE M. Refined zigzag theory for laminated composite and sandwich plates: NASA/TP-2009-215561[R]. Washington, D.C.: NASA, 2009.
[17] TESSLER A, DI SCIUVA M, GHERLONE M. A refined zigzag beam theory for composite and sandwich beams[J]. Journal of Composite Materials200943(9): 1051-1081.
[18] 杨胜奇, 张永存, 刘书田. 一种准确预测层合梁结构层间剪应力的新锯齿理论[J]. 航空学报201940(11): 223028.
  YANG S Q, ZHANG Y C, LIU S T. A new zig-zag theory for accurately predicting interlaminar shear stress of laminated beam structures[J]. Acta Aeronautica et Astronautica Sinica201940(11): 223028 (in Chinese).
[19] SI J L, CHEN W J, YI S J, et al. A new and efficient zigzag theory for laminated composite plates[J]. Composite Structures2023322: 117356.
[20] GROH R M J, WEAVER P M. On displacement-based and mixed-variational equivalent single layer theories for modelling highly heterogeneous laminated beams[J]. International Journal of Solids and Structures201559: 147-170.
[21] PAGANO N J. Exact solutions for composite laminates in cylindrical bending[J]. Journal of Composite Materials19693(3): 398-411.
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