Applied Mathematics and Mechanics

, Volume 36, Issue 6, pp 815–826 | Cite as

Theory and calculation of stress transfer between fiber and matrix

  • Jiayu Wu
  • Hong YuanEmail author
  • Renhuai Liu


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 composite material interfacial mechanics 

Chinese Library Classification


2010 Mathematics Subject Classification



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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.MOE Key Laboratory of Disaster Forecast and Control in Engineering, Institute of Applied MechanicsJinan UniversityGuangzhouChina

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