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Figure 3.23. Experiment and coupled FEM/SPH simulation of the deformed shapes of bitubular polystyrene foam filling arrangements, filling only between two tubes (BPH) and filling the inner hole with polystyrene foam (BPE).(Source: Aktay, et al. 2008). The crushing behavior of Alulight (AlMg0.6Si0.3) aluminum foam filled RSt37 and ZSt340 steel monotubal, bitubal, hexagonal and octagonal profiles were investigated (Seitzberger, et al. 2000, Seitzberger and Willminger 2001). The stroke efficiency was found to decrease with increasing foam density in all investigated profiles. The deformation mode was extensional mode in monotubal arrangement and outward and inward mode in bitubal arrangement (Figure 3.24). However the mean load efficiency and SEA increased over the empty tube with foam filling. The increase in SEA values was 30% and 60% in foam filled ZSt340 and RSt37 tubes, respectively. Although, filled hexagonal and octagonal arrangements experienced higher SEA values than empty arrangement, foam filling was found to be not effective in increasing SEA values of monotubal arrangement. The effect of wall thickness, foam density (Alulight-AlMg1Si) and semi-apical angle on the crushing of conical steel tubes was studied numerically by Ahmad and Thambiratnam(Ahmad and Thambiratnam 2009). Al foam filling resulted in lower specific absorbed energy values than empty tubes within the investigated semi apical angle and wall thickness range (Figure 3.25). However, the foam filling found to stabilize the deformation of conical tubes and increased the number of the folds. 58
Figure 3.24. Deformation modes of empty and foam filled monotubal and bitubal square <strong>section</strong>s (Source: Seitzberger, et al. 2000). Figure 3.25. The variation of SEA values of steel conical tubes with wall thickness at three different semi apical angle (θ) and with three different foam filler density(Source: Ahmad and Thambiratnam 2009). A comparative study of the energy absorption characteristics of foam-filled and multi-cell square columns was performed by Zhang and Cheng (Zhang and Cheng 2007). Multi-cell square columns absorbed 50-100% higher energy than foam-filled <strong>section</strong>s at same weight. This was attributed to increased numbers of folds in multi-cell square columns (Figure 3.26), as compared with foam filled columns. This also proved a higher level of interaction between internal web and square tube than that between foam filler and square tube. Al foam filled multi-cell square 6061T4 Al tubes were 59
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OPTIMIZATION OF THE AXIAL CRUSHING
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ACKNOWLEDGEMENTS My PhD quest has b
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ÖZET KAPALI HÜCRELİ ALUMİNYUM K
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CHAPTER 4 EXPERIMENTAL DETAILS ....
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CHAPTER 8 ALUMINUM CRASH BOX OPTIMI
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Figure 3.7. Simulations of the defo
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Figure 4.9. Dimensions of tensile t
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Figure 6.21. Sequential deformation
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LIST OF TABLES Table Page Table 4.1
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Figure 1. 1. The body in white stru
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Figure 1. 4. Commercial crash boxes
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CHAPTER 2 AL CLOSED CELL FOAMS: PRO
Page 28 and 29: The processing methods and mechanic
Page 30 and 31: Figure 2. 5 The preferred particle
Page 32 and 33: Figure 2. 8. Typical cellular struc
Page 34 and 35: Figure 2. 10. Manufacturing cost of
Page 36: Figure 2. 12. Laser assisted foamed
Page 41 and 42: Figure 2.16. Shear strength, normal
Page 43 and 44: Figure 2. 19. Yield strength vs. re
Page 45 and 46: Figure 2. 21. Unit cell geometry an
Page 47 and 48: Figure 2. 24. Load-displacement cur
Page 49 and 50: Figure 2. 26. The photographs of a
Page 51 and 52: CHAPTER 3 CRUSHING BEHAVIOR OF TUBU
Page 53 and 54: Figure 3.2. Diamond deformation mod
Page 57 and 58: deformation mode transition from ax
Page 59 and 60: Figure 3.8. Energy absorption of qu
Page 61: (a) (c) Figure 3.10. Deformation mo
Page 65 and 66: (a) (b) Figure 3.13. a) Schematic o
Page 67 and 68: (a) (b) (c) Figure 3.15. a) Load-di
Page 72 and 73: Figure 3.18. The crush terminology.
Page 75 and 76: The quasi-static compression behavi
Page 77: Figure 3.22. The variation of speci
Page 81 and 82: Figure 3.27. SEA values of empty an
Page 83 and 84: Figure 3.29. (cont.) 3.5. Motivatio
Page 85 and 86: CHAPTER 4 EXPERIMENTAL DETAILS 4.1.
Page 87 and 88: (a) (b) Figure 4.3.Pictures of a) f
Page 89 and 90: oxes are shown in Figure 4.6. The l
Page 91 and 92: Figure 4.7. The method of trigger m
Page 93 and 94: 4.4. Compression Tests of Crash Box
Page 95 and 96: 4.5.2. Uniaxial Compression Testing
Page 97 and 98: Table 4.1 (Cont.) G1 T3 F2 G1T3F2 3
Page 99 and 100: Table 4.2 (Cont.) G1 T2.5 WP F2 G1T
Page 101: CHAPTER 5 SIMULATION AND OPTIMIZATI
Page 105: considered in axial and transverse
Page 109 and 110: were constrained. Since the width o
Page 116 and 117: 5.4. The Crashworthiness Optimizati
Page 118 and 119: great effect on the crushing behavi
Page 120: CHAPTER 6 EXPERIMENTAL RESULTS 6.1.
Page 124 and 125: Figure 6.3.Tensile stress-strain cu
Page 126 and 127: (a) (b) Figure 6.5. Sequential defo
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plate (Figure 6(b)). The trigger is
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(a) (b) Figure 6.9. Deformation seq
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Figure 6.18. (cont.) (c) (a) (b) Fi
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Figure 6.20.(cont.). (b) (c) 6.5.4.
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Figure 6.21.(cont.) (b) (c) 122
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Figure 6.22.(cont.) (c) Figure 6.23
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Figure 6.24.(Cont.) (b) (c) (a) Fig
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Figure 6.26.(cont.) (b) (c) 6.6. Dy
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Figure 6.27. (cont.) (b) (c) 130
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CHAPTER 7 MODELING RESULTS OF FOAM,
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experimental tensile stress-strain
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significant effect of weld seem ope
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Figure 7.7. Deformation photo of fi
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Figure 7.11. Deformation photos of
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(a) (b) (c) Figure 7.14. Load-displ
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7.4. Simulation of Empty and Partia
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Figure 7.16. (cont.) (c) (a) Figure
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(a) (b) Figure 7.18. Sequential def
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Figure 7.19. (cont.) (b) (c) 150
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Figure 7.20. (cont.) (c) (a) Figure
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(a) (b) Figure 7.26. Experimental a
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The constructed response surface of
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Table 8.1. R 2 , Radj 2 and RMSE va
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(a) (b) Figure 8.7. Response surfac
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an empty tube wall thickness higher
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where, K is a dimensionless constan
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The dynamic simulation and analytic
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Figure 9.4. (cont.) (c) (d) Figure
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Figure 9.6. (cont.) (c) (d) (a) Fig
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Equation 9.7 can also be rewritten
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(a) (b) Figure 9.10. Energy-absorbi
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Figure 9.11. (cont.) (d) The variat
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foam filling were evaluated. The re
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13. The interaction between foam fi
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Arora, J. S.,2004,Introduction to O
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Dannemann, K. A. and Lankford, J.,
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Hall, I. W., Guden, M. and Yu, C. J
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Kim, D-K. and Lee, S., 1999, Impact
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Mamalis, A. G., Manolakos, D. E., I
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Pugsley, A. G. and Macaulay, M., 19
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T. Miyoshi, M. Itoh S. Akiyama A. K
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Zhao, H., Elnasri, I. and Girard, Y
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