1. Finite Element Study of Bond-Slip Behaviour of CFRP and GFRP Laminates on Brick Masonry Candidate:Chi Chiu Lam Supervisors:Prof. M. R. Valluzzi Dr. E. Garbin M. Panizza Department of Structural and Transportation Engineering University of Padova Padova, Italy

2. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Outline Experimental study of bond-slip behaviour of FRP-to- brick by Panizza et al. (2009) Finite element analysis of FRP laminates on brick masonry Analytical solution proposed by Yuen et al. (2004) Summary and Conclusion

3. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Typical test specimen 55 mm 120 mm 50 mm P P/2

4. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Test Results G f = 1.42 N/mmG f = 1.91 N/mm CFRPGFRP Bond-slip curve Exponential Bilinear

5. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry

6. Finite element analysis CFRP GFRP Coarse mesh vs. Fine mesh Exponential bond-slip vs. Bilinear bond-slip FRP with concentrated fiber property vs. FRP with distributed fiber property

7. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Finite element model FE program: Diana (2008) FRP and Brick element : 8 nodes isoparametric plane stress element (CQ16M) Interface: 3+3 nodes interface element (CL12I) with bond-slip behaviour X = 0 FRP thickness = 2 mm

8. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Finite element material properties CarbonGlass

9. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Coarse mesh vs. Fine mesh Carbon

10. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Exponential vs. Bilinear bond-slip curve Carbon Glass

11. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Concentrated fiber vs. Distributed fiber 2 mm

12. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry CFRPGFRP Exponential Bilinear

13. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Analytical solution by Yuan et al. (2004) where

14. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Analytical solution by Yuan et al. (2004) Elastic stage (O-A) Elastic-softening stage (A-B) Elastic-softening-debonding stage (B-C-D) Softening-debonding stage (D-E)

15. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Analytical solution vs. FE results CFRP Test average E cfrp t cfrp = 46260 N/mm GFRP Test average E gfrp t gfrp = 18673 N/mm

16. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Axial Strain of FRP (CFRP specimen)

17. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Axial Strain of FRP (CFRP specimen)

18. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Axial Strain of FRP (CFRP specimen)

19. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Axial Strain of FRP (CFRP specimen)

20. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Axial Strain of FRP (CFRP specimen)

21. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Axial Strain of FRP (CFRP specimen)

22. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Axial Strain of FRP (CFRP specimen)

23. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Interface shear stress (CFRP specimen)

24. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Interface shear stress (CFRP specimen)

25. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Interface shear stress (CFRP specimen)

26. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Interface shear stress (CFRP specimen)

27. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Interface shear stress (CFRP specimen)

28. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Interface shear stress (CFRP specimen)

29. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Interface shear stress (CFRP specimen)

30. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Parametric study Bond length: L = 80 mm, 120 mm, 160 mm and 200 mm Width ratio of FRP-to-brick: b frp / b brick = 0.042, 0.42 and 1.00

31. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Effect of bond length CFRP Test average E cfrp t cfrp = 46260 N/mm GFRP Test average E gfrp t gfrp = 18673 N/mm

32. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Effect of width ratio of FRP-to-brick CFRP Test average E cfrp t cfrp = 46260 N/mm GFRP Test average E gfrp t gfrp = 18673 N/mm

33. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Effect of bond length and width ratio CFRP Test average E cfrp t cfrp = 46260 N/mm GFRP Test average E gfrp t gfrp = 18673 N/mm

34. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Summary and Conclusion 1.Finite element analysis of bond-slip behaviour of CFRP and GFRP laminates on brick masonry was carried out. 2.Finite element analysis includes: (i) coarse vs. fine mesh, (ii) exponential bond-slip vs. bilinear bond-slip curve, and (iii) concentrated fiber property and distribution property. 3.The finite element results, such as the maximum load and axial strain of FRP, were compared with the test results. 4.Comparison of the finite element results to the analytical solution proposed by Yuan et al. (2004) was made. 5.Parametrical study of bond-length and width ratio of FRP-to- brick was carried out by using the analytical solution.

35. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Summary and Conclusion 6.With the average test stiffness of FRP assigned, both finite element results and analytical results compared well with the test results in term of maximum load capacity. 7.Increasing the bond length does not increase the maximum load capacity, however, the maximum deflection increases with increasing bond length. 8.It is shown from the analytical solution that the width ratio of FRP to brick does not have significant effect to the maximum load capacity and deflection, especially for specimen with lower stiffness of FRP.

36. Finite element study of bond-slip behaviour of CFRP and GFRP Laminates on Brick Masonry Grazie !! Thank you !!