Articles

Theory and calculation of stress transfer between fiber and matrix

Expand
  • MOE Key Laboratory of Disaster Forecast and Control in Engineering, Institute of Applied Mechanics, Jinan University, Guangzhou 510632, China

Received date: 2014-06-23

  Revised date: 2014-11-17

  Online published: 2015-06-01

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.

Cite this article

Jiayu WU, Hong YUAN, Renhuai LIU . Theory and calculation of stress transfer between fiber and matrix[J]. Applied Mathematics and Mechanics, 2015 , 36(6) : 815 -826 . DOI: 10.1007/s10483-015-1947-6

References

[1] Cox, H. L. The elasticity and strength of paper and other fibrous materials. British Journal of Applied Physics, 3, 72-79 (1952)
[2] Kelly, A. and Street, K. N. Creep of discontinuous fibre composites, II: theory for the steady-state. Proceedings of the Royal Society of London, Series A, Mathematical and Physical Sciences, 328, 283-293 (1972)
[3] Lagoudas, D. C., Phoenix, S. L., and Hui, C. Y. Time evolution of over-stress profiles near broken fibers in a composite with a viscoelastic matrix. International Journal of Solids and Structures, 25, 45-66 (1989)
[4] Beyerlein, I. J. and Phoenix, S. L. Time evolution of stress redistribution around multiple fiber breaks in a composite with viscous and viscoelastic matrices. International Journal of Solids and Structures, 35, 3177-3211 (1998)
[5] Outwater, J. O. The mechanics of plastics reinforced in tension. Modern Plastics, 33, 56-65 (1956)
[6] Nardone, V. C. and Prewo, K. M. On the strength of discontinuous silicon carbide reinforced aluminum composites. Scripta Metallugica et Materialia, 20, 43-48 (1986)
[7] Shah, S. P. and Ouyang, C. Mechanical behavior of fiber-reinforced cement-based composites. Journal of the American Ceramic Society, 74, 2947-1953 (1991)
[8] Bazant, Z. P. and Desmorat, R. Size effect in fiber or bar pullout with interfacial crack in slip. Journal of Engineering Mechanics, 120, 1945-1962 (1994)
[9] Yuan, H., Wu, Z. S., and Yoshizawa, H. Theoretical solutions on interfacial stress transfer of externally bonded steel/composite laminates. Journal of Structural Mechanics and Earthquake Engineering, 18, 27-39 (2001)
[10] Yuan, H., Teng, J. G., Seracino, R., Wu, Z. S., and Yao, J. Full-range behavior of FRP-to-concrete bonded joints. Engineering Structures, 26, 553-565 (2004)
[11] Täljsten, B. Strengthening of concrete prisms using the plate-bonding technique. International Journal of Fracture, 82, 253-266 (1996)
[12] Brosens, K. and van Gemert, D. Plate end shear design for external CFRP laminates. Proceedings of FRAMCOS-3, Aedificatio Publishers, Freiburg, 1793-1804 (1998)
[13] Wu, Z. S., Yuan, H., and Niu, H. Stress transfer and fracture propagation in different kinds of adhesive joints. Journal of Engineering Mechanics, 128, 562-573 (2002)
[14] Teng, J. G., Chen, J. F., Smith, S. T., and Lam, L. FRP Strengthened RC Structures, Wiley, Chichester (2002)
[15] Yuan, H., Lu, X. S., Hui, D., and Feo, L. Studies on FRP-concrete interface with hardening and softening bond-slip law. Composite Structures, 94, 3781-3792 (2012)
[16] Yuan, H. Improved theoretical solutions of FRP-to-concrete interfaces. Proceedings of International Symposium on Bond Behaviour of FRP in Structures (BBFS 2005), The Hong Kong Polytechnic University, Hong Kong, 97-102 (2005)
[17] Wang, H. W. Experimental and Theoretical Study on the Interfacial Bonding Strength of the Glass-Fiber/Polymer Matrix Composites (in Chinese), M. Sc. dissertation, Wuhan University of Technology, 42 (2003)
Outlines

/

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals