对称复合材料层合板弯曲的三维数值分析
3-D Numerical Study on the Bending of Symmetric Composite Laminates
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摘要: 本文采用三维各向异性有限单元模拟纯弯曲载荷下的复合材料层合板,给出了应力、应变沿厚度方向的变化规律。分析结果表明,在斜交对称铺层层合板的中心区域(远离加载端和自由边的区域),板的层间粘接界面附近,有根强的应力集中现象,可称之为层间效应。层间界面处力学性质的突变导致了层间应力的产生,并使层合板处于三向应力状态。三维数值模型给出的应变分布不同于基于Kirchhoff-Love直法线假设的经典层合板理论给出的应变分布。Abstract: In this paper,the composite laminates subjected to pure bendinq are modelled by using 3-D anisotropic finite elements and the distributions of stress and strain alongthe thickness are presented.The numerical results show that there is a stress concentration near the bonding interface in the central region(far from traction boundaries and free edges)of symmetric angle-ply laminates,which should be called "interlaminar effect". The abrupt change of the mechanical behavior of material onthe interfaces causes interlaminar stresses.The laminates are in 3-D stress state nearthe interfaces. The strain distribution of the 3-D numerical model is different from thestrain hypothesis of the classical laminate theory based on the Kirchhoff-Love hypotheses of straight inextensional normals.
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Key words:
- finite element /
- bending /
- laminate /
- stress /
- strain
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[1] Noor,A.K.and W.S.Burton,Assessment of shear deformation theories for multilayered composite plates,Appl.Mech.Rev.,42,1 (1989),1-12. [2] Tsai,S.W.and H.T.Hahn,Introduction to Composite Materials,Technomic Publishing Co.Inc.,( 1980).
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