cross section crash boxes

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The dynamic simulation and analytical mean load values as function of filler relative density are further shown in Figure 9.3(a). In the dynamic simulation, the analytic approach for predicting mean load values is shown to found ineffective in Figure 9.3(a) since it underestimates the mean loads of the boxes with montage plates. Figure 9.3(b) shows the variation of mean load values with the box thickness and the foam filler relative density. The simulation mean load values shown in the same figure increase with increasing both thicknesses and foam filler density. (a) Figure 9.3. a) 2D and b) 3D representation of Pm vs. thickness graphs for dynamic simulation of G1WP. (b) 174
9.2. Stroke Efficiency of Crash Boxes In all crash boxes tested and simulated, the SE values decreases with foam filling as compared with empty boxes (Figures 9.4(a-d)). The reduction of SE values of empty boxes with foam filling was also previously reported for foam filled square Al boxes (Hanssen, et al. 2000a, Seitzberger, et al. 2000). Figure 9.5 shows further the variation of SE values with the plateau stress relative density ratio. In the same figure, the variation SE values with the plateau stress relative density ratio of Alulight foam filled square steel (RST37) and Hydro Al full foam filled square steel and Al (6060T4) tubes are also shown for comparison. It should be noted that the Alulight AlSi10 foams used in this study have lower p/ * ratios than those of Alulight AlMg0.6Si0.3 and Hydro AlSi8Mg foams which were previously used to fill square sections by Seitzberger et al. (Seitzberger, et al. 2000) and Hanssen et al.(Hanssen, et al. 1999), respectively. The SE values as shown in Figure 9.5 decrease slightly with increasing foam plateau stress relative density ratio and SE values reach almost a constant value of about 0.55 after a foam plateau stress relative density ratio of 30. (a) (b) Figure 9.4. Stroke efficiency vs. relative density graphs of a) G1, b)G2, c) G1WP and d)G2WP. (cont. on next page) 175
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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
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The processing methods and mechanic
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Figure 2. 5 The preferred particle
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Figure 2. 8. Typical cellular struc
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Figure 2. 10. Manufacturing cost of
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Figure 2. 12. Laser assisted foamed
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Figure 2.16. Shear strength, normal
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Figure 2. 19. Yield strength vs. re
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Figure 2. 21. Unit cell geometry an
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Figure 2. 24. Load-displacement cur
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Figure 2. 26. The photographs of a
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CHAPTER 3 CRUSHING BEHAVIOR OF TUBU
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Figure 3.2. Diamond deformation mod
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deformation mode transition from ax
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Figure 3.8. Energy absorption of qu
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(a) (c) Figure 3.10. Deformation mo
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(a) (b) Figure 3.13. a) Schematic o
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(a) (b) (c) Figure 3.15. a) Load-di
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Figure 3.18. The crush terminology.
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The quasi-static compression behavi
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Figure 3.22. The variation of speci
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Figure 3.24. Deformation modes of e
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Figure 3.27. SEA values of empty an
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Figure 3.29. (cont.) 3.5. Motivatio
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CHAPTER 4 EXPERIMENTAL DETAILS 4.1.
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(a) (b) Figure 4.3.Pictures of a) f
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oxes are shown in Figure 4.6. The l
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Figure 4.7. The method of trigger m
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4.4. Compression Tests of Crash Box
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4.5.2. Uniaxial Compression Testing
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Table 4.1 (Cont.) G1 T3 F2 G1T3F2 3
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Table 4.2 (Cont.) G1 T2.5 WP F2 G1T
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CHAPTER 5 SIMULATION AND OPTIMIZATI
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considered in axial and transverse
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were constrained. Since the width o
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5.4. The Crashworthiness Optimizati
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great effect on the crushing behavi
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CHAPTER 6 EXPERIMENTAL RESULTS 6.1.
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Figure 6.3.Tensile stress-strain cu
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(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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Page 152 and 153: CHAPTER 7 MODELING RESULTS OF FOAM,
Page 154 and 155: experimental tensile stress-strain
Page 156 and 157: significant effect of weld seem ope
Page 158 and 159: Figure 7.7. Deformation photo of fi
Page 160 and 161: Figure 7.11. Deformation photos of
Page 162 and 163: (a) (b) (c) Figure 7.14. Load-displ
Page 164 and 165: 7.4. Simulation of Empty and Partia
Page 166 and 167: Figure 7.16. (cont.) (c) (a) Figure
Page 168 and 169: (a) (b) Figure 7.18. Sequential def
Page 170 and 171: Figure 7.19. (cont.) (b) (c) 150
Page 172 and 173: Figure 7.20. (cont.) (c) (a) Figure
Page 178: (a) (b) Figure 7.26. Experimental a
Page 182 and 183: The constructed response surface of
Page 184: Table 8.1. R 2 , Radj 2 and RMSE va
Page 187 and 188: (a) (b) Figure 8.7. Response surfac
Page 189 and 190: an empty tube wall thickness higher
Page 192 and 193: where, K is a dimensionless constan
Page 196: Figure 9.4. (cont.) (c) (d) Figure
Page 199 and 200: Figure 9.6. (cont.) (c) (d) (a) Fig
Page 203 and 204: Equation 9.7 can also be rewritten
Page 206: (a) (b) Figure 9.10. Energy-absorbi
Page 209 and 210: Figure 9.11. (cont.) (d) The variat
Page 211 and 212: foam filling were evaluated. The re
Page 213 and 214: 13. The interaction between foam fi
Page 215 and 216: Arora, J. S.,2004,Introduction to O
Page 217 and 218: Dannemann, K. A. and Lankford, J.,
Page 219 and 220: Hall, I. W., Guden, M. and Yu, C. J
Page 221 and 222: Kim, D-K. and Lee, S., 1999, Impact
Page 223 and 224: Mamalis, A. G., Manolakos, D. E., I
Page 225 and 226: Pugsley, A. G. and Macaulay, M., 19
Page 227 and 228: T. Miyoshi, M. Itoh S. Akiyama A. K
Page 229: Zhao, H., Elnasri, I. and Girard, Y
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