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International Journal of Mechanical Engineering and Technology (IJMET)
Volume 10, Issue 05, May 2019, pp. 91-97. Article ID: IJMET_10_05_011
Available online at http://www.iaeme.com/ijmet/issues.asp?JType=IJMET&VType=10&IType=5
ISSN Print: 0976-6340 and ISSN Online: 0976-6359
© IAEME Publication
EFFECT OF IMPACTOR FOR STRUCTURE
WITH FOAM UNDER AXIAL LOADS
Fauzan Djamaluddin, Ilyas Renreng
Department of Mechanical Engineering, Hasanuddin University,
Gowa, South Sulawesi, Indonesia
ABSTRACT
The impactor effects were determined for foam filled structures under axial impact
loading with parameters such as specific energy absorption, mean and peak crushing
force. Crashworthiness behaviors for instance, mode of deformation and structures
performance were studied using numerical solution after it validated to relevant
experiment. The velocity has more significant influence than mass of impactor as
outcomes of this paper. In addition, the correlation of crashworthiness indicators when
kinetic energy constant in the various of impactor mass and velocity.
Keywords: foam, Crashworthiness, Tube, Finite Element Analysis axial impact.
Cite this Article: Fauzan Djamaluddin, Ilyas Renreng, Effect of Impactor for Structure
with Foam Under Axial Loads, International Journal of Mechanical Engineering and
Technology, 10(5), 2019, pp. 91-97.
http://www.iaeme.com/IJMET/issues.asp?JType=IJMET&VType=10&IType=5
1. INTRODUCTION
The analytical solution of circular tubes was studied by Alexander [1] to derive average
crushing force. Structures under different load condition using experimental and theoretical
solution were studied [2-5]. Researchers [6–11] by using foam to increase performance of tube
behavior. In addition, double-cell profiles [12-20] were studied the crushing ability of foam
filled tubes. Most of previous works investigate the crush behavior based on constant mass of
impactor and it is not considered the impact energy with combination of mass and velocity. The
effect of impactor for foam filled double cell profile under dynamic axial impact still limited
research information. Dynamic responses of double circular tube with impactor mass, impactor
speed and kinetic energy of impactor to determine mode of deformations and crash
performance. After validation of numerical solution using the appropriate experiment then the
effect of impact velocity and mass were determined as the information of foam filled double
cylindrical tubes as energy absorber.
2. DEVELOPMENT OF FINITE ELEMENT MODEL
The schematics in figure 1 shows the circular tubes length (L). The mass block (20, 40 and 60
kg) impacted at top of the structures.
Effect of Impactor for Structure with Foam Under Axial Loads
http://www.iaeme.com/IJMET/index.asp 92 editor@iaeme.com
Figure 1 The structures schematic under axial impact
The outer (to) and inner (ti) thicknesses and the diameter of the outer and inner tubes are do
and di respectively as parameters of structures showed in Fig. 2.
Figure 2 Finite Element Model (FEM) of tube.
The FE models are shown in Fig. 3. To develop tube models and it impacted by block mass
by using the ABAQUS–Explicit. The parametric of material, geometry and loading parameters
used in this study can be seen in table 1.
Table 1 Tube and impactor in parametric studies
L (mm) do (mm) t (mm) M (kg) Vo(mm) ρf (g/cm³)
Tube 250 100 1.6 20, 40, 60 20, 30, 40 0.22
2.1. MATERIAL PROPERTIES
Aluminium alloy A6360 T4 as wall tube, with density =  kg/m3
, Young’s modulus = 68.2
GPa, the Poisson’s ratio = 0.3, initial yielding stress = 80 MPa, and ultimate stress = 215.5 MPa.
Whereas, density ρf = 2700 kg/m3
, Cpow =526 and m =2.17 as the foam properties.
3. MODEL VALIDATION
Fig. 3 and 4 show the correlation of crashworthiness indicators by experiment and simulation
and it is good agreement between both results.
Fauzan Djamaluddin, Ilyas Renreng
http://www.iaeme.com/IJMET/index.asp 93 editor@iaeme.com
Figure 3 Correlation of peak crushing force by experiment [16] and simulation
Figure 4 Correlation of mean crushing force by experiment [16] and simulation
4. RESULTS AND DISCUSSION
The deformation modes and crush force graph can be seen in Fig. 5 for foam-filled double
structures under axial loading. The circular tube are shown in Figs. 5 the collapse mode of the
tube, with L of 250 mm, t of 1.6 mm, di of 50 mm and di of 100 mm for double circular tube
with block mass M of 20 kg and an impact velocity V of 10 m/s. A wrinkle to be localised into
a buckle was caused dynamic impact and it is called dynamic plastic buckling which arises due
to inertia effects was studied by the FE models.
Effect of Impactor for Structure with Foam Under Axial Loads
http://www.iaeme.com/IJMET/index.asp 94 editor@iaeme.com
Figure 5 Deformation and crushing force of tube
4.1. Influence of Impactor Mass
Dynamic collapse load illustrated in Fig. 6. The initial impact speed was assumed to be 30 m/s
and the mass was varied between 20 kg and 60 kg. Furthermore, Fig. 7 shows the mean crushing
force was increased by less than 4%, when the mass was increased from 20 kg to 40 kg. When
the mass was further increased to 60 kg while insignificant increase was observed. A similar
pattern was observed in the energy absorption level, Fig. 8, where only 2.5% increase was
observed when the mass was increased from 20 kg to 40 kg.
Figure 6 Deformation versus crushing force
Figure 7 Effect of mass impactor on mean crushing force
0
10
20
30
40
50
60
70
80
0 20 40 60 80 100 120
CrushingForce(kN)
Deformation (mm)
60 kg
40 kg
20 kg
13
13.4
13.8
14.2
14.6
15
20 40 60
Fagv(kN)
Mass (kg)
Fauzan Djamaluddin, Ilyas Renreng
http://www.iaeme.com/IJMET/index.asp 95 editor@iaeme.com
Figure 8 Effect of mass impactor for EA
4.2. Influence of Impactor Velocity
Varying the initial speed upon the tubes were illustrated in Fig. 9. While the impactor mass was
fixed at 60 kg, the initial impact speed vo of 20 - 40 m/s. With increasing the initial impact
speed, the figure shows noticeable increase in the crushing force level associated. Fig. 10 and
11 show peak collapse load increase in of 13.3% was realised by increasing the initial impact
velocity from 10m/s to 20m/s. When vo was increased from 20 m/s to 30 m/s increase was
achieved about 5.8%. Comparable increases were found for the energy absorption levels as
shown in Fig. 11.
Figure 9 Deformation versus crushing force with different speed
Figure 10 Effect of impactor velocity on Fagv
27.6
27.8
28
28.2
28.4
28.6
28.8
29
20 40 60
EA(kJ)
Mass (kg)
0
10
20
30
40
50
60
70
80
0 20 40 60 80 100 120
CrushingForce(kN))
Dispacement (mm)
30 m/s
20 m/s
10 m/s
6
8
10
12
14
16
20 30 40
Fagv(kN)
Velocity (m/s)
Effect of Impactor for Structure with Foam Under Axial Loads
http://www.iaeme.com/IJMET/index.asp 96 editor@iaeme.com
Figure 11 Effect of mass impactor on EA.
4.3. Correlation of Mass and velocity at Constant Energy Kinetic
Finally, we illustrate the effect of simultaneously varying both (mass and velocity) upon the
mode of collapse of the foam-filled structure. The impactor parameters were chosen such that
the initial kinetic energy of the striker is constant. Fig. 12 illustrates the SEA - Favg under
dynamic axial impact loading for the different cases under consideration. It is clearly observed
that although the initial kinetic energy of the impactor is the same in the three cases, yet the
peak crushing force is increasing with the increase in the initial impact speed. This is also
exhibited in the peak collapse load level of the structure, which clearly shows this trend. Fig.
12 shows the correlation between SEA and Favg of the foam-filled double tube at different
stages of deformation for the different cases under investigation. It is observed that varying
both impactor speed and mass have a good correlation (R2
= 0.91) in the kinetic energy value
constant.
Figure 12 Correlation of SEA and Favg in variation mass and speed
5. CONCLUSIONS
Simulation solutions were studied of impactor effects under axial loading. The mass (4%) has
insignificant effect compare to velocity (13.3%) of impactor. Other finding that there are good
correlation (R2
= 0.91) between SEA and Favg with constant value of kinetic energy by various
value of velocity and mass of impactor.
23
24
25
26
27
28
29
30
20 30 40
EA(kJ)
Velocity (m/s)
Fauzan Djamaluddin, Ilyas Renreng
http://www.iaeme.com/IJMET/index.asp 97 editor@iaeme.com
REFERENCES
[1] J. Alexander, An approximate analysis of the collapse of thin cylindrical shells under axial
loading, Q. J. Mech. Appl. Math. 13 (1960) 10–15.
[2] T. Wierzbicki, W. Abramowicz, On the crushing mechanics of thin-walled structures, J.
Appl. Mech.-T Asme 50 (1983) 727–734.
[3] W. Abramowicz, N. Jones, Dynamic axial crushing of square tubes, Int. J. Im- pact Eng. 2
(1984) 179–208.
[4] W. Abramowicz, N. Jones, Dynamic progressive buckling of circular and square tubes, Int.
J. Impact Eng. 4 (1986) 243–270.
[5] W. Abramowicz, T. Wierzbicki, Axial crushing of multicorner sheet metal columns, J.
Appl. Mech. 56 (1989) 113–120
[6] Hanssen AG, Langseth M, Hopperstad OS. Static crushing of square alumi- nium extrusions
with aluminium foam filler. Int J Mech Sci 1999;41 (8):967–93.
[7] Hanssen AG, Langseth M, Hopperstad OS. Axial crushing of aluminium columns with
aluminium foam filler. In: Proceedings of the seventh interna- tional symposium on
structural failure and plasticity (IMPLAST2000); 2000. p. 401–7.
[8] Hopperstad OS, Langseth M, Hanssen AG. Static and dynamic crushing of circular
aluminium extrusions with aluminium foam filler. Int J Impact Eng 2000;24(5):475–507.
[9] Hopperstad OS, Langseth M, Hanssen AG. Optimum design for energy absorption of square
aluminium columns with aluminium foam filler. Int J Mech Sci 2001;43(1):153–76.
[10] Santosa SP, Wierzbicki T, Hanssen AG, Langseth M. Experimental and numerical studies
of foam-filled sections. Int J Impact Eng 2000;24(5):509–34.
[11] Thornton PH. Energy absorption by foam filled structures. SAE paper 800081; 2005.
[12] Seitzberger M, Rammerstorfer RF, Degischer HP, Gradinger R. Crushing of axially
compressed steel tubes filled with aluminium foam. Acta Mech 1997;125:93–105.
[13] Seitzberger M, Rammerstorfer FG, Gradinger R, Degischer HP, Blaimschein M, Walch C.
Experimental studies on the quasi-static axial crushing of steel columns filled with
aluminium foam. Int J Solids Struct 2000;37(30):4125–47.
[14] Yuen S, Kim Chung, Nurick GN, Starke RA. The energy absorption characteristics of
double-cell tubular profiles. Lat Am J Solids Struct 2008;5(4):289–317.
[15] Li ZB, Yu JL, Guo LW. Deformation and energy absorption of aluminium foam- filled
tubes subjected to oblique loading. Int J Mech Sci 2012; 54:48–56.
[16] Deshpande VS, Fleck NA. Isotropic constitutive models for metallic foams. J Mech Phys
Solids 2000; 48:1253–83.
[17] Djamaluddin F, Abdullah S, Ariffin A.K., Nopiah Z.M. Non-linear finite element analysis
of bitubal circular tubes for progressive and bending collapses. International Journal of
Mechanical Sciences 99 (2015) 228–236
[18] Djamaluddin F, Abdullah S, Ariffin A.K., Nopiah Z.M. Modeling and optimization of
aluminum foam cylindrical double tubes under axial impact. Journal of Mechanical
Engineering and Science 8, 1383-1392
[19] Djamaluddin F, Abdullah S, Ariffin A.K., Nopiah Z.M. Finite element analysis and
crashworthiness optimization of foam-filled double circular under oblique loading Latin
American Journal of Solids and Structures 13 (11), 2176-2189
[20] Djamaluddin F, Abdullah S, Ariffin A.K., Nopiah Z.M. Crush analysis of the foam-filled
bitubal circular tube under oblique impact. IOP Conference Series: Materials Science and
Engineering 308 (1), 012040

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EFFECT OF IMPACTOR FOR STRUCTURE WITH FOAM UNDER AXIAL LOADS

  • 1. http://www.iaeme.com/IJMET/index.asp 91 editor@iaeme.com International Journal of Mechanical Engineering and Technology (IJMET) Volume 10, Issue 05, May 2019, pp. 91-97. Article ID: IJMET_10_05_011 Available online at http://www.iaeme.com/ijmet/issues.asp?JType=IJMET&VType=10&IType=5 ISSN Print: 0976-6340 and ISSN Online: 0976-6359 © IAEME Publication EFFECT OF IMPACTOR FOR STRUCTURE WITH FOAM UNDER AXIAL LOADS Fauzan Djamaluddin, Ilyas Renreng Department of Mechanical Engineering, Hasanuddin University, Gowa, South Sulawesi, Indonesia ABSTRACT The impactor effects were determined for foam filled structures under axial impact loading with parameters such as specific energy absorption, mean and peak crushing force. Crashworthiness behaviors for instance, mode of deformation and structures performance were studied using numerical solution after it validated to relevant experiment. The velocity has more significant influence than mass of impactor as outcomes of this paper. In addition, the correlation of crashworthiness indicators when kinetic energy constant in the various of impactor mass and velocity. Keywords: foam, Crashworthiness, Tube, Finite Element Analysis axial impact. Cite this Article: Fauzan Djamaluddin, Ilyas Renreng, Effect of Impactor for Structure with Foam Under Axial Loads, International Journal of Mechanical Engineering and Technology, 10(5), 2019, pp. 91-97. http://www.iaeme.com/IJMET/issues.asp?JType=IJMET&VType=10&IType=5 1. INTRODUCTION The analytical solution of circular tubes was studied by Alexander [1] to derive average crushing force. Structures under different load condition using experimental and theoretical solution were studied [2-5]. Researchers [6–11] by using foam to increase performance of tube behavior. In addition, double-cell profiles [12-20] were studied the crushing ability of foam filled tubes. Most of previous works investigate the crush behavior based on constant mass of impactor and it is not considered the impact energy with combination of mass and velocity. The effect of impactor for foam filled double cell profile under dynamic axial impact still limited research information. Dynamic responses of double circular tube with impactor mass, impactor speed and kinetic energy of impactor to determine mode of deformations and crash performance. After validation of numerical solution using the appropriate experiment then the effect of impact velocity and mass were determined as the information of foam filled double cylindrical tubes as energy absorber. 2. DEVELOPMENT OF FINITE ELEMENT MODEL The schematics in figure 1 shows the circular tubes length (L). The mass block (20, 40 and 60 kg) impacted at top of the structures.
  • 2. Effect of Impactor for Structure with Foam Under Axial Loads http://www.iaeme.com/IJMET/index.asp 92 editor@iaeme.com Figure 1 The structures schematic under axial impact The outer (to) and inner (ti) thicknesses and the diameter of the outer and inner tubes are do and di respectively as parameters of structures showed in Fig. 2. Figure 2 Finite Element Model (FEM) of tube. The FE models are shown in Fig. 3. To develop tube models and it impacted by block mass by using the ABAQUS–Explicit. The parametric of material, geometry and loading parameters used in this study can be seen in table 1. Table 1 Tube and impactor in parametric studies L (mm) do (mm) t (mm) M (kg) Vo(mm) ρf (g/cm³) Tube 250 100 1.6 20, 40, 60 20, 30, 40 0.22 2.1. MATERIAL PROPERTIES Aluminium alloy A6360 T4 as wall tube, with density =  kg/m3 , Young’s modulus = 68.2 GPa, the Poisson’s ratio = 0.3, initial yielding stress = 80 MPa, and ultimate stress = 215.5 MPa. Whereas, density ρf = 2700 kg/m3 , Cpow =526 and m =2.17 as the foam properties. 3. MODEL VALIDATION Fig. 3 and 4 show the correlation of crashworthiness indicators by experiment and simulation and it is good agreement between both results.
  • 3. Fauzan Djamaluddin, Ilyas Renreng http://www.iaeme.com/IJMET/index.asp 93 editor@iaeme.com Figure 3 Correlation of peak crushing force by experiment [16] and simulation Figure 4 Correlation of mean crushing force by experiment [16] and simulation 4. RESULTS AND DISCUSSION The deformation modes and crush force graph can be seen in Fig. 5 for foam-filled double structures under axial loading. The circular tube are shown in Figs. 5 the collapse mode of the tube, with L of 250 mm, t of 1.6 mm, di of 50 mm and di of 100 mm for double circular tube with block mass M of 20 kg and an impact velocity V of 10 m/s. A wrinkle to be localised into a buckle was caused dynamic impact and it is called dynamic plastic buckling which arises due to inertia effects was studied by the FE models.
  • 4. Effect of Impactor for Structure with Foam Under Axial Loads http://www.iaeme.com/IJMET/index.asp 94 editor@iaeme.com Figure 5 Deformation and crushing force of tube 4.1. Influence of Impactor Mass Dynamic collapse load illustrated in Fig. 6. The initial impact speed was assumed to be 30 m/s and the mass was varied between 20 kg and 60 kg. Furthermore, Fig. 7 shows the mean crushing force was increased by less than 4%, when the mass was increased from 20 kg to 40 kg. When the mass was further increased to 60 kg while insignificant increase was observed. A similar pattern was observed in the energy absorption level, Fig. 8, where only 2.5% increase was observed when the mass was increased from 20 kg to 40 kg. Figure 6 Deformation versus crushing force Figure 7 Effect of mass impactor on mean crushing force 0 10 20 30 40 50 60 70 80 0 20 40 60 80 100 120 CrushingForce(kN) Deformation (mm) 60 kg 40 kg 20 kg 13 13.4 13.8 14.2 14.6 15 20 40 60 Fagv(kN) Mass (kg)
  • 5. Fauzan Djamaluddin, Ilyas Renreng http://www.iaeme.com/IJMET/index.asp 95 editor@iaeme.com Figure 8 Effect of mass impactor for EA 4.2. Influence of Impactor Velocity Varying the initial speed upon the tubes were illustrated in Fig. 9. While the impactor mass was fixed at 60 kg, the initial impact speed vo of 20 - 40 m/s. With increasing the initial impact speed, the figure shows noticeable increase in the crushing force level associated. Fig. 10 and 11 show peak collapse load increase in of 13.3% was realised by increasing the initial impact velocity from 10m/s to 20m/s. When vo was increased from 20 m/s to 30 m/s increase was achieved about 5.8%. Comparable increases were found for the energy absorption levels as shown in Fig. 11. Figure 9 Deformation versus crushing force with different speed Figure 10 Effect of impactor velocity on Fagv 27.6 27.8 28 28.2 28.4 28.6 28.8 29 20 40 60 EA(kJ) Mass (kg) 0 10 20 30 40 50 60 70 80 0 20 40 60 80 100 120 CrushingForce(kN)) Dispacement (mm) 30 m/s 20 m/s 10 m/s 6 8 10 12 14 16 20 30 40 Fagv(kN) Velocity (m/s)
  • 6. Effect of Impactor for Structure with Foam Under Axial Loads http://www.iaeme.com/IJMET/index.asp 96 editor@iaeme.com Figure 11 Effect of mass impactor on EA. 4.3. Correlation of Mass and velocity at Constant Energy Kinetic Finally, we illustrate the effect of simultaneously varying both (mass and velocity) upon the mode of collapse of the foam-filled structure. The impactor parameters were chosen such that the initial kinetic energy of the striker is constant. Fig. 12 illustrates the SEA - Favg under dynamic axial impact loading for the different cases under consideration. It is clearly observed that although the initial kinetic energy of the impactor is the same in the three cases, yet the peak crushing force is increasing with the increase in the initial impact speed. This is also exhibited in the peak collapse load level of the structure, which clearly shows this trend. Fig. 12 shows the correlation between SEA and Favg of the foam-filled double tube at different stages of deformation for the different cases under investigation. It is observed that varying both impactor speed and mass have a good correlation (R2 = 0.91) in the kinetic energy value constant. Figure 12 Correlation of SEA and Favg in variation mass and speed 5. CONCLUSIONS Simulation solutions were studied of impactor effects under axial loading. The mass (4%) has insignificant effect compare to velocity (13.3%) of impactor. Other finding that there are good correlation (R2 = 0.91) between SEA and Favg with constant value of kinetic energy by various value of velocity and mass of impactor. 23 24 25 26 27 28 29 30 20 30 40 EA(kJ) Velocity (m/s)
  • 7. Fauzan Djamaluddin, Ilyas Renreng http://www.iaeme.com/IJMET/index.asp 97 editor@iaeme.com REFERENCES [1] J. Alexander, An approximate analysis of the collapse of thin cylindrical shells under axial loading, Q. J. Mech. Appl. Math. 13 (1960) 10–15. [2] T. Wierzbicki, W. Abramowicz, On the crushing mechanics of thin-walled structures, J. Appl. Mech.-T Asme 50 (1983) 727–734. [3] W. Abramowicz, N. Jones, Dynamic axial crushing of square tubes, Int. J. Im- pact Eng. 2 (1984) 179–208. [4] W. Abramowicz, N. Jones, Dynamic progressive buckling of circular and square tubes, Int. J. Impact Eng. 4 (1986) 243–270. [5] W. Abramowicz, T. Wierzbicki, Axial crushing of multicorner sheet metal columns, J. Appl. Mech. 56 (1989) 113–120 [6] Hanssen AG, Langseth M, Hopperstad OS. Static crushing of square alumi- nium extrusions with aluminium foam filler. Int J Mech Sci 1999;41 (8):967–93. [7] Hanssen AG, Langseth M, Hopperstad OS. Axial crushing of aluminium columns with aluminium foam filler. In: Proceedings of the seventh interna- tional symposium on structural failure and plasticity (IMPLAST2000); 2000. p. 401–7. [8] Hopperstad OS, Langseth M, Hanssen AG. Static and dynamic crushing of circular aluminium extrusions with aluminium foam filler. Int J Impact Eng 2000;24(5):475–507. [9] Hopperstad OS, Langseth M, Hanssen AG. Optimum design for energy absorption of square aluminium columns with aluminium foam filler. Int J Mech Sci 2001;43(1):153–76. [10] Santosa SP, Wierzbicki T, Hanssen AG, Langseth M. Experimental and numerical studies of foam-filled sections. Int J Impact Eng 2000;24(5):509–34. [11] Thornton PH. Energy absorption by foam filled structures. SAE paper 800081; 2005. [12] Seitzberger M, Rammerstorfer RF, Degischer HP, Gradinger R. Crushing of axially compressed steel tubes filled with aluminium foam. Acta Mech 1997;125:93–105. [13] Seitzberger M, Rammerstorfer FG, Gradinger R, Degischer HP, Blaimschein M, Walch C. Experimental studies on the quasi-static axial crushing of steel columns filled with aluminium foam. Int J Solids Struct 2000;37(30):4125–47. [14] Yuen S, Kim Chung, Nurick GN, Starke RA. The energy absorption characteristics of double-cell tubular profiles. Lat Am J Solids Struct 2008;5(4):289–317. [15] Li ZB, Yu JL, Guo LW. Deformation and energy absorption of aluminium foam- filled tubes subjected to oblique loading. Int J Mech Sci 2012; 54:48–56. [16] Deshpande VS, Fleck NA. Isotropic constitutive models for metallic foams. J Mech Phys Solids 2000; 48:1253–83. [17] Djamaluddin F, Abdullah S, Ariffin A.K., Nopiah Z.M. Non-linear finite element analysis of bitubal circular tubes for progressive and bending collapses. International Journal of Mechanical Sciences 99 (2015) 228–236 [18] Djamaluddin F, Abdullah S, Ariffin A.K., Nopiah Z.M. Modeling and optimization of aluminum foam cylindrical double tubes under axial impact. Journal of Mechanical Engineering and Science 8, 1383-1392 [19] Djamaluddin F, Abdullah S, Ariffin A.K., Nopiah Z.M. Finite element analysis and crashworthiness optimization of foam-filled double circular under oblique loading Latin American Journal of Solids and Structures 13 (11), 2176-2189 [20] Djamaluddin F, Abdullah S, Ariffin A.K., Nopiah Z.M. Crush analysis of the foam-filled bitubal circular tube under oblique impact. IOP Conference Series: Materials Science and Engineering 308 (1), 012040