Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (2): 163-170 .doi: https://doi.org/10.1007/s10483-008-0204-1

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Theoretical prediction of stiffness and strength of three-dimensional and four-directional braided composites

李典森, 卢子兴, 卢文书   

  • 收稿日期:2007-08-29 修回日期:2007-12-26 出版日期:2008-02-18 发布日期:2008-02-18
  • 通讯作者: 李典森

Theoretical prediction of stiffness and strength of three-dimensional and four-directional braided composites

LI Dian-sen, LU Zi-xing, LU Wen-shu   

  • Received:2007-08-29 Revised:2007-12-26 Online:2008-02-18 Published:2008-02-18
  • Contact: LI Dian-sen

Abstract: Based on unit cell model, the 3D 4-directional braided composites can be simplified as unidirectional composites with different local axial coordinate system and the compliance matrix of unidirectional composites can be defined utilizing the bridge model. The total stiffness matrix of braided composites can be obtained by the volume average stiffness of unidirectional composites with different local axial coordinate system and the engineering elastic constants of braided composites were computed further. Based on the iso-strain assumption and the bridge model, the stress distribution of fiber bundle and matrix of different unidirectional composites can be determined and the tensile strength of 3D 4-directional braided composites was predicted by means of the Hoffman's failure criterion for the fiber bundle and Mises' failure criterion for the matrix.

Key words: 3D braiding, strength, stiffness, mechanical properties, composites

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