Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (6): 815-826.doi: https://doi.org/10.1007/s10483-015-1947-6

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Theory and calculation of stress transfer between fiber and matrix

Jiayu WU, Hong YUAN, Renhuai LIU   

  1. MOE Key Laboratory of Disaster Forecast and Control in Engineering, Institute of Applied Mechanics, Jinan University, Guangzhou 510632, China
  • Received:2014-06-23 Revised:2014-11-17 Online:2015-06-01 Published:2015-06-01
  • Contact: Hong YUAN E-mail:tyuanhong@jnu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (No. 11032005), the Science and Technology Scheme of Guangdong Province (No. 2012A030200003), and the Science and Technology Scheme of Guangzhou City (No. 1563000451)

Abstract: For the better use of composites and a deeper insight into the fracture propagation and stress transfer of the interface between fiber and matrix, a theoretical solution of closed form is presented with the assumed bilinear local bond-slip law and a parabolic shear stress distribution along the thickness of the matrix. The load-displacement relationship and interfacial shear stress are obtained for four loading stages. Finally, the effects of Young's modulus of fiber (matrix) and bond length on the performance of the interface are illustrated.

Key words: shear-lag method, interfacial mechanics, composite material

2010 MSC Number: 

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