SHPB01

DOE SHPB Strain Rate

.

Design of Experiment (DOE) Full Factorial SHPB

2007

Split Hopkinson Pressure Bar (SHPB) OFHC Copper 894.375 s-1 - Johnson-Cook Model 9.180.58%

OFHC Copper 900 s-1 Johnson-Cook Model

3 SHPB 4 1 4 4 Full Factorial Design

Design of Experiment (DOE)

102-104 s-1 1 SHPB

Split Hopkinson Pressure Bar (SHPB)

0

0

0

00

( ) ( ) ( )

2( ) ( )

2( ) ( )

( ) ( )

t i r

s r

st

s r

s

s t

s

t t t

ct t

lc

t t dtlA

t E tA

i Striker Bar Incident Bar ( Rcoef )

1V

i1F 2F

1u 2u0 0 0A c

1 1 1A c

r

t

0 0 0A c 0 0 0A csl

i

1r

2r 2t

1t

1

1 2 3 4

D b [mm] 10 15 20 25

A s /A b 40% 50% 60% 70%

L s /D s 0.5 1 1.5 2

V0/Vmax 25% 50% 75% 100%

FactorLevel

1 bD

/s bA A

/s sl D

max1 /V V

2 6.3mst sbl l l

/ 100b bl D

i

1r2r

R

2 Design Parameter

i r1 Rr 2

2

1 Design Parameter

Striker Bar 21.6 m/s 32 m/s 809.42 s-1 - Johnson-Cook Model 63.79%

2

-4000

-2000

0

2000

4000

0 400 800 1200 Stra

in (

)

Time(s)

Incident

Transmitt

Analyzed Incident Strain Wave

Analyzed Transmitted Strain Wave

3 4 Striker Bar

-2500

-1250

0

1250

2500

0 250 500 750 1000

[

]

t [s]

Incident 1

Transmit 1

Incident 2

Transmit 2

Incident 3

Transmit 3

Incident 4

Transmit 4

Incident 5

Transmit 5

1 Striker Bar 2

3 4