? Ò ×4 ¬ 7 _T ± O ± < 0z »8 ý ° Ç ö n ÚV R Ë

(1)

£

? Ò ×4 ¬ 7 _T ± O ± < 0z »8 ý ° Ç ö n ÚV R Ë

») o 4 w H ^∗

Ö

¦ í ß @ / < Æ § Ó ü t o < Æõ , Ö ¦ í ß 680-749

T

ç ¡g ` @

ô

Ç² D G ³ ðï r õ < Æ ½ ¨" é ¶ Ó ü t o ³ ðï r Â Ò, @ / 305-600 (2005¸ 9 Z 4 2{ 9 ~ Ã Î6 £ §)

1 l x Ú ÔY Us ß ¼ n Û ¼ß ¼_ : r ¸ì r íü < \ P + þ A, \ P 6 £ x§ 4 É r 1 l x _ î ß $ í õ f ] X & h ' aº ` ¦ ° ú

¦ e # Q" f s \ ' a ô Ç ½ ¨ t F K t ´ ú §s Ã º' ÷ &# Q M ® o t ë ß n Û ¼ß ¼_ : r ¸\ É r \ P ¸ ¸, \ P S X í ß

¸, q \ P 1 p x _ \ P Ó ü t$ í ° ú כ` ¦ & ñ S X y · ú t 3 l w K Ø æì r ô Ç $ í õ \ ¦ ¿ ºt 3 l w % i . : r ½ ¨\ " f H FC250, FC170, FCD50 1 p x 37 á x _ Å Ò^ o => : x x 9 Al MMCü < A356 1 p x 27 á x _ · ú À Òp ³ o u > : x Ú ÔY Us ß ¼ n Û ¼ß ¼/× ¼

!

3 F « Ñ_ \ P S X í ß ¸ü < q \ P ` ¦ © : r ∼ 500

^◦

C : r ¸% ò % i \ " f 8 £ ¤& ñ ¦ s \ ¦ s 6 x # \ P ¸ ¸\ ¦ ½ ¨

% i . Õ ª õ · ú p ³ o u > F « Ñ_ \ P S X í ß ¸, q \ P Õ ªo ¦ \ P ¸ ¸ Å Ò^ o => Ð 2 ∼ 4C s © H ° ú כ

`

¦ f ` ¦ S X % i ¦ s õ [ þ t É r Ú ÔY Us ß ¼ n Û ¼ß ¼_ : r ¸ì r íü < \ P K $ 3 _ l : r X <s ' Ð 6 x| ¨ c

\ V& ñ s .

PACS numbers: 65, 65.90.+i

Keywords: Ú ÔY Us ß ¼ n Û ¼ß ¼, \ P Ó ü t$ í , \ P S X í ß ¸, q \ P , \ P ¸ ¸, \ P 6 £ x§ 4 , \ P + þ A

I. " e Â ] Ø

1 l x ] j1 l x © u _ n Û ¼ß ¼ü < J × ¼ H ] j1 l x © u × æ | ¾ Ó _

1 l x& h \ -t \ ¦ f ] X f ¨ Ã º H Â Òì r Ü ¼ Ð" f þ j H _ 1

l

x > hµ 1 Ï $ í ¾ Ós ¦$ í 0 p x, î ß & ñ $ í , $ è6 £ §, $ 1 l x` ¦ Æ Ò

½

¨ < Ê\ õ \ H × æ כ ¹ > # t t · ú § ¤t ë ß H A

Â Ò' H ß ¼> × æ כ ¹$ í ` ¦ { > ) a Â Ò¾ ¡ §[ þ t × æ _ s [1]. Fig. 1 õ ° ú É r n Û ¼ß ¼ Ú ÔY Us ß ¼\ " f µ 1 ÏÒ q t H ë H ]

j& h [ þ t Ð" f H ³ ð : r ¸ © 5 p x, \ P \ _ ô Ç \ P (ß ¼Ï þ ), \ P

+ þ A, s © 1 l x, n Û ¼ß ¼ü < J × ¼_ s © ¸, 6 f# Qf , ¸ ú 6

£

§ µ 1 ÏÒ q t 1 p x` ¦ [ þ t Ã º e . s Qô Ç ë H ] j& h [ þ t É r Å Ò Ð n Û ¼ ß

¼, J × ¼, Ö qo ( , Õ ªo ¦ s [ þ t ] j1 l x © u \ ¦ t t ¦ e

H Â Òì r[ þ t _ 4 ¤ ½ + Ë& h © ñ 6 x \ _ K " f µ 1 ÏÒ q tô Ç . s

Qô Ç & ³ © _ K $ 3 ` ¦ 0 AK " f H n Û ¼ß ¼ r Û ¼% 7 _ \ P \ _ ô

Ç : r ¸ o_ K $ 3 s 9 Ã º& h s [2].

© r ç ß 5 Å q& h s ì ø Í4 ¤ ) a ] j1 l x r µ 1 ÏÒ q t H õ ¸ô Ç

: r ¸ © 5 p x É r n Û ¼ß ¼³ ð \ ? / ¸$ í s y © ô Ç Ø ÔJ $ s

à Ô $ í ì r` ¦ Ô ¦ ½ ©g Ë : > z õ & h Ü ¼ Ð n Û ¼ß ¼_ Ô ¦ ç

H{ 9 ô Ç ¸\ ¦ { 9 Ü ¼v ¦ s H / B I Ú ÔY Us ß ¼_ s © 1 l x Ü

¼ Ð ) a . ô Ç¼ # ¹ 1 ÏF \ ¦ : x K Ö qo ( Ð ² ú ÷ & H

∗

E-mail: [email protected]

\ P

| ¾ Ós t u > ´ ú § t Ú ÔY Us ß ¼Ó oõ Ö qo ( Ó o_ : r

¸ t u > Z } 4 R" f l í µ 1 ÏÒ q t Ö qo ( x Û

¼ : r 9 ` ¦ < H © r & ] j1 l x © u _ ¦ © ` ¦ 4 R ¸> ) a .

" f 1 l x _ ] j" é ¶ õ Å Ò' ¸Ä º× ¼ Å Ò# Qt [ O > é

ß > \ " f_ : r ¸K $ 3 s þ j& h _ \ P 6 x | ¾ Ó` ¦ n Û ¼ß ¼ Ú Ô Y

Us ß ¼_ [ O > \ ¦ 0 AK " f H 9 Ã º& h s [3].

Ú

ÔY Us ß ¼ n Û ¼ß ¼_ : r ¸ì r íü < \ P + þ A, \ P 6 £ x§ 4 \ ' a ô

Ç ½ ¨ H t F K t ´ ú §s Ã º' ÷ &# Q M ® o t ë ß n Û ¼ß ¼_ : r

¸ü < © I \ É r & ñ S X ô Ç \ P Ó ü t$ í ° ú כ(\ P ¸ ¸, \ P S X í ß ¸, q

\ P 1 p x) _ p q Ð K Ø æì r ô Ç $ í õ \ ¦ ¿ ºt 3 l w % i .

: r ½ ¨\ " f H FC250, FC170, FCD50 1 p x 37 á x _ Å Ò^ o =

>

: x x 9 Al MMCü < A356 1 p x 27 á x _ · ú À Òp ³ o u > : x( ½ + Ë> 57 á x À Ó) Ú ÔY Us ß ¼ n Û ¼ß ¼/× ¼! 3 F « Ñ_ \ P S X í ß ¸ü < q \ P ` ¦

© : r ∼ 500

^◦

C % ò % i \ " f 8 £ ¤& ñ ¦ (\ P ¸ ¸ = \ P S X í ß

¸ × q \ P × x 9 ¸)d \ _ K \ P ¸ ¸\ ¦ ½ ¨ % i .

II. T Â ] Ø

1. V È° Ë Ñ0 n É ° Ç½ Ê my ¢ ¤X N ËX ê sV

$ 3

F gZ O (laser flash method)\ _ ô Ç \ P S X í ß ¸ 8 £ ¤& ñ É r

1961¸ Parker 1 p x \ _ K % 6 £ § Ü ¼ Ð > hµ 1 Ï÷ &# Q ¦^ F « Ñ

-302-

(2)

_

\ P S X í ß ¸ 8 £ ¤& ñ Z O Ü ¼ Ð & ³F © V , o s 6 x ÷ & ¦ e [4]. s ~ ½ ÓZ O É r " é ¶ ì ø Í ¸ ª _ r ¼ # ` ¦ ` O Û ¼& h Ü ¼ Ð

\ P

¦ r ¼ # z ´ » _ : r ¸ o\ ¦ K $ 3 # \ P S X í ß ¸\ ¦ ½ ¨

H ~ ½ ÓZ O s .

$ 3

F gZ O \ " f H Fig. 2 ü < ° ú s ì ø Í Á ºô Ç@ / " é ¶ ì ø Í_ r ¼ #

` ¦ 4 S q < ÊÃ º& h ` O Û ¼ Ð \ P Ù þ ¡` ¦ M : Carslaw ü <

Jaeger \ Ø Ô t = 0{ 9 M : ` O Û ¼ F g` ¦ ~ Ã Î ¦ " f ë ß p u _ r

ç ß s â õ ô Ç Ê ê ¿ ºa L r ¼ # _ U ·s x\ " f_ : r ¸

o T (x, t) H

T (x, t) = 1 L

Z

L 0

T (x, 0)dx + 2 L

∞

X

n=1

exp( −n

²

π

²

at L

²

)

× cos nπx L

Z

L 0

T (x, 0) cos nπx

L dx (1) Ü

¼ Ð è q Ã º e [5,6]. # l " f a H r ¼ # _ \ P S X í ß ¸ s

. Õ ª X < x = 0 r ¼ # ³ ð \ " f $ 3 F g \ -t Q ç H { 9

> { 9 ÷ &# Q U ·s g t f ¨ Ã º÷ &% 3 Õ ª M :_ : r ¸ ì

r í H 6 £ § õ ° ú > ) a .

T (x, 0) = Q

ρC

p

g 0 < x < g (2)

T (x, 0) = 0 x > g (3)

s

ü < ° ú É r íl ¸| \ _ K " f d (1) É r

T (L, t) = Q

ρC

p

L |1 + 2

∞

X

n=1

nx L

sin(nπg/L) (nπg/L)

× exp( −n

²

π

²

L

²

at)| (4)

Ð è q Ã º e > ) a . # l " f ρ H x 9 ¸, C

^p

H & ñ · ú q

\ P s . Ô ¦ È Ò" î ô Ç Ó ü t| 9 \ " f H g Ø æì r y Ü ¼Ù ¼ Ð

Fig. 1. Traveling state and braking state of the brake disk system.

sin(nπg/L) ∼ nπg/L Ð Ñ ü t Ã º e Ü ¼Ù ¼ Ð r ¼ # z ´ » _ : r

¸ o H

T (L, t) = Q ρC

p

L |1 + 2

∞

X

n=1

(−1)

ⁿ

exp(−n

²

π

²

L

²

at)| (5)

Ð ³ ð & ³ 0 p x . d (1)\ " f r ¼ # z ´ » _ þ j@ / : r ¸ © 5

p x u H

T

_L,max

= Q

ρC

_p

L (6)

H d` ¦ · ú Ã º e ¦ s ° ú כ\ @ /ô Ç T (L, t)_ q V H

V = 1 + 2

∞

X

n=1

(−1)

ⁿ

exp(−n

²

π

²

L

²

at) (7)

÷ & 9 ½ Ó © 0õ 1 s _ ° ú כ` ¦ . s d \ " f \ P S X í

ß ¸ r ¼ # z ´ » _ : r ¸ o_ þ j@ /° ú כ\ @ /ô Ç Ñ þ ì rÖ ¦

\

_ K " f

a = k

_x

L

²

t

x

(8)

Ð ½ ¨K . # l " f k

x

H x-percent ë ß p u _ © 5 p x \ É r

©

Ã º, t

^x

H â õ ) a r ç ß s . \ P S X í ß ¸\ ¦ ½ ¨ H X < © ç

ß é ß ¦ Å Ò æ ¼s H כ s t

1/2

X < s כ É r r ¼ # z ´ » _

: r ¸ o þ j@ /u _ 50 % t © 5 p x H X < o H r ç ß

s ) a . " f Fig. 3õ ° ú s z ´+ « >& h Ü ¼ Ð p t _ ° ú כ t

_1/2

` ¦ 8 £ ¤& ñ ¦ ¿ ºa \ ¦ · ú \ P S X í ß ¸ a = 0.1388

t^L_1/2²

\ ¦

½

¨½ + É Ã º e .

2. R ° Ç ¤X N Ë ù p § ü X ¢ DSC(S ¤ ° ÇS ë s4 )

{ 9

ì ø Í& h Ü ¼ Ð DSC(r Å Ò \ P | ¾ Ó> , differential scan- ning calorimeter) H \ P Ä »5 Å q+ þ Aõ { 9 § 4 Ð © + þ AÜ ¼ Ð ì r À Ó÷ &

9, \ P Ä »5 Å q+ þ A É r r ¼ # _ : r ¸\ ¦ 1 p x : r © 5 p x r & 8 £ ¤& ñ r ¼ #

Fig. 2. Boundary condition of the disk-shaped thermal

diffusivity sample.

(3)

õ

l ï r r ¼ # õ _ : r ¸ \ ¦ 8 £ ¤& ñ H ~ ½ ÓZ O s ¦, { 9 § 4 Ð

© + þ A É r 8 £ ¤& ñ r ¼ # õ l ï r r ¼ # _ : r ¸ ½ Ó © “0”s ÷ &

¸2 ¤ y ' _ \ P { 9 § 4 ` ¦ ¸] X H ~ ½ ÓZ O s [7].

Mraw H ¦ & h { 9 § 4 Ð © DSC\ " f 6 x ÷ & H ¸4 S q

`

¦ S X © # \ P Ä »5 Å q DSC\ ¦ í < Ê H 3 > h_ \ P ì r$ 3 l Z O

`

¦ : x{ 9 & h Ü ¼ Ð À Ò H ¸4 S q` ¦ ] jî ß % i [8]. Fig. 4\

· p ü < ° ú s s ¸4 S q É r é ß í H t ë ß 9 כ ¹ô Ç þ j è_ כ

¹ è\ ¦ í < Ê ¦ e . y Õ ªa Ë >õ ' aº ) a y Â Òì r _ Ó ü t o

| ¾ Óõ l ñ H 6 £ § õ ° ú s ³ ðr ) a .

T

s

: r ¼ # _ : r ¸ C

_s

: r ¼ # _ \ P 6 x | ¾ Ó

R

⁰_s

: r ¼ # õ r ¼ # A á ¤ 8 £ ¤ : r Â Ò s _ \ P $ ½ Ó q

_s⁰

: r ¼ # õ r ¼ # A á ¤ 8 £ ¤ : r Â Ò s \ ¦ â ìØ Ô H \ P | ¾ Ó T

_sm

: r ¼ # A á ¤ 8 £ ¤ : r Â Ò : r ¸

C

_sm

: r ¼ # A á ¤ 8 £ ¤ : r Â Ò \ P 6 x | ¾ Ó

R

_s

: r ¼ # A á ¤ 8 £ ¤ : r Â Òü < \ P " é ¶ s _ \ P $ ½ Ó q

s

: r ¼ # A á ¤ 8 £ ¤ : r Â Òü < \ P " é ¶ s \ ¦ â ìØ Ô H \ P | ¾ Ó

l

ï rÓ ü t| 9 É r 0 A_ r ¼ # ³ ðl \ " f ' s\ ¦ r Ð Ë ¨# Q" f 7

£ ¤ T

r

, C

r

, R

⁰_r

, q

_s⁰

, T

rm

, C

rm

, R

r

, q

r

Ð ? / 9 T

^h

H \ P

"

é

¶( y ' )_ : r ¸s . ^ _ \ P 6 x | ¾ Ó x 9 \ P $ ½ Ó É r : r ¸ ü

< r ç ß \ _ > r t · ú § H { 9 & ñ ô Ç ° ú כ` ¦ ¦ & ñ ô Ç

Fig. 3. Temperature variation of the rear surface of the disk-shaped sample.

Fig. 4. Schematic daigram of the DSC modeling for the measurement of specific heat.

. s © õ ° ú É r & ñ \ " f \ P " é ¶ \ " f_ \ P _ â ì2 £ § É r 6

£

§ ~ ½ Ó& ñ d [ þ t Ð l Õ ü t| ¨ c Ã º e .

Ä

º \ P o\ ¦ { 9 Ü ¼v H r ¼ # A á ¤ \ " f_ \ P Ä »5 Å q É r 6

£ § d [ þ t Ð è q Ã º e .

dq

_s

dt = C

sm

dT

_sm

dt + C

s

dT

_s

dt + ∆H dα

dt (9)

dq

_s⁰

dt = C

sm

dT

s

dt + ∆H dα

dt (10)

#

l " f ∆H H r ¼ # _ ' p» 1 Ïx o| ¾ Ós . 6 £ § Ü ¼ Ð l ï

r Ó ü t| 9 A á ¤ Ü ¼ Ð Ä »{ 9 ÷ & H \ P É r y Â Ò_ \ P \ 6 x ÷ &l M

:ë H \ \ P Ä »5 Å q É r 6 £ § õ ° ú s ³ ðl ) a .

dq

_r

dt = C

rm

dT

_rm

dt + C

r

dT

_r

dt (11)

dq

_s⁰

dt = C

sm

dT

s

dt + ∆H dα

dt (12)

s

© _ 4t d [ þ t _ K \ ¦ ½ ¨ < ÊÜ ¼ Ð+ DSC / B G ` ¦ K

$

3 ½ + É Ã º e . r ¼ # _ | 9 | ¾ Ó` ¦ m

s

, l ï rÓ ü t| 9 _ | 9 | ¾ Ó` ¦ m

r

, Õ

ªo ¦ r ¼ # _ q \ P ` ¦ C

s

, l ï rÓ ü t| 9 _ q \ P ` ¦ C

R

s

C

s

= m

s

C

s

ü < C

^r

= m

r

C

R

_ ' a > \ _ K " f r ¼ # _ q

\ P É r þ j7 á x& h Ü ¼ Ð

C

S

= m

r

m

_s

· Y

S

− Y

B

Y

_R

− Y

B

· C

R

(13)

Ü

¼ Ð ³ ðr ) a . # l " f Y

S

, Y

_R

, Y

_B

H y y r ¼ # , l ï rÓ ü t

| 9

x 9 6 x l \ È Ò{ 9 ÷ & H \ P | ¾ Ó o\ ¦ _ p ô Ç .

Fig. 5. Schematic diagram of the laser flash thermal

diffusivity apparatus.

(4)

Table 1. Sample descriptions.

element

Sample C Si Mn S P Cr Ti V Fe Cu Mg Al

3.25 ∼ 1.3 ∼ 0.6 ∼ 0.05 ∼ 0.2 ∼ FC250

3.5 2.3 1.0 0.15 0.2↓

0.45 0.02↓ 0.015 ↓ BAL − − − 3.0 ∼ 2.0 ∼ 0.2 ∼

FCD50

4.0 3.0 0.6 0.05↓ 0.05↓ − − − BAL − 0.015↑ −

3.4 ∼ 1.6 ∼ 0.7 ∼ 0.4 ∼

FC170

3.8 2.2 1.0 0.1↓ 0.2↓

0.6 − − BAL 0.015↑ − −

6.5 ∼ 0.1 ∼

A356 −

7.5 0.03↓ − − − 0.15↓ − 0.15↓ 0.03↓

0.8 BAL

8.5 ∼ 0.45 ∼

Al MMC −

9.5 − − − − 0.2↓ − 0.2↓ 0.2↓

0.65 BAL

∗

BAL=balance

III. ÷ m Ç] M ö õ m Í À X Ø8 ý

1. ° Ç½ Ê my ¢ ¤X N Ë

: r ½ ¨\ " f 6 x ) a $ 3 F gZ O 8 £ ¤& ñ © u H Fig. 5 \ ü <

e

H ü < ° ú [9]. F g " é ¶ Ü ¼ Ð H Nd : glass ` O Û ¼Y Us $

\

¦ 6 x % i . { 9 ì ø Í& h Ü ¼ Ð Nd : glass Y Us $ À Òq Y U s

$ 1 p x ¦^ Y Us $ c _ \ -t ì r í H ç H{ 9 t 3 l w

. Õ ª Q $ 3 F gZ O \ _ ô Ç \ P Ó ü t$ í 8 £ ¤& ñ \ " f H r ¼ # ³ ð

\

ç H{ 9 ô Ç \ -t { 9 ) a ¦ & ñ # \ P ² ú ` ¦ K

$

3 Ù ¼ Ð s \ @ /ô Ç ¦ 9\ ¦ t · ú §` ¦ â Ä º Ã º %_ ¸

\

¦ µ 1 ÏÒ q tr ~ ´ Ã º e . " f : r © u \ " f H CCD B j

\ ¦ s 6 x # Y Us $ c \ -t ì r í\ ¦ 8 £ ¤& ñ ¦ F g$ 3 Ä

»_ ? /Â Ò × æ ì ø Í \ ¦ s 6 x # s \ ¦ ç H{ 9 o % i Ü ¼ 9 õ

¸ô Ç \ -t Ð µ 1 ÏÒ q t½ + É Ã º e H ³ ð < H õ & h ü @ Ø

¦ l _ q + þ A´ òõ \ _ ô Ç ¸ \ ¦ þ j è Ð l 0 A # r

¼ # \ { 9 ÷ & H ` O Û ¼Y Us $ \ -t H 1 J& ñ ¸ ÷ &

>

% i .

Fig. 6. Obtained thermal diffusivity values of the brake disk materials by laser flash apparatus.

/ B N Õ þ ! Q ? /\ © Ã Ì ) a r ¼ # ` ¦ Ð ¼ # o > §^ ½ + É Ã

º e > ¦ r ¼ # õ f . Ë 8_ ] X 8 ú ¤ \ _ ô Ç \ P < Hz ´` ¦ þ j

@

/ô Ç × ¦ s l 0 A # ] t o Ú ÔD ! p r ¼ # f . Ë 8ü < r ¼ # _ ] X 8 ú ¤

& h s þ j è ÷ &> [ O > ·/ B N ÷ &# Qe . y ' Ð H ¿ ºa 0.05 mm ò ø Í» 1 Ïµ ¢ § í{ 9 ` ¦ 6 x ¦ R-type \ P @ / Ð ì r 0

Al : r ¸\ ¦ ] j# Q ¸2 ¤ ÷ &# Qe . $ 3 F gZ O © u \ " f X <

s

' \ ¦ Ã º| 9 l 0 Aô Ç 8 £ ¤& ñ r Û ¼% 7 É r × ¼J ?# Qü < èá Ôà Ô J

?# Q Ð @ /Z > | ¨ c Ã º e . $ × ¼J ?# Q H Y O w B j' , ¦5 Å q A/D ¨ 8 l , á Ôo " l rá Ô, B j Ó rá Ô, e ¦ Ð' , \ -t B j' Ð

½

¨$ í ÷ &# Q e Ü ¼ 9 ¸ H 8 £ ¤& ñ © q H GPIB Ð 1 l x o÷ &# Q e

. Y O w B j' H / B NÕ þ ! Q î ß _ r ¼ # ì r 0 Al : r ¸\ ¦ 8 £ ¤

&

ñ H X < 6 x ÷ & 9 ¦5 Å q A/D ¨ 8 l H þ j@ / 1 MHz Ò r e

¦a As 0 p x . r ¼ # z ´ » _ : r ¸ o H & h ü @ Ø ¦ l

(HgCdTe) Ð Ã º| 9 9 8 £ ¤& ñ ) a X <s ' H ( É Ó' Ð 5

Å

x ÷ & 9 èá Ôà ÔJ ?# Q\ _ # ì r$ 3 ÷ &# Q o \ ³ ðr ) a .

Ã

Ìô Ç Ê ê, r ¼ # ³ ð \ ` O Û ¼Y Us $ \ ¦ ç H{ 9 > ¸ #

Fig. 7. An example of the obtained DSC signals from

the sample, reference and blank container.

(5)

Table 2. The obtained thermal diffusivity values. (unit:

× 10

⁻⁵

m

²

/s).

Sample

T (

^◦

C) FC250 FCD50 FC170 A356 Al MMC 20 11.98 7.63 16.60 64.21 66.71 100 11.26 7.80 15.21 69.92 65.93 200 10.89 7.96 13.31 69.04 61.69 300 9.87 7.77 11.51 68.79 57.87 400 8.79 7.32 9.97 69.29 56.15 500 7.85 6.66 8.66 64.56 51.08

Fig. 3 õ ° ú É r r ¼ # z ´ » _ : r ¸ o\ ¦ % 3 ¦ d (8)` ¦ 6

^◦

C : r ¸# 3 0 A\ " f 5 rm 8 £ ¤& ñ # ¨ î ç H u \ ¦ ½ ¨ % i . Table 1\ H z ´+ « >\

6 x ) a F « Ñ[ þ t _ $ í ì r õ < Ê| ¾ Ós ü <e .

^◦

C # 3 0 A\ " f $ 3 F gZ O Ü ¼ Ð 8 £ ¤& ñ ô Ç 57 á x À Ó_ Ú ÔY Us ß ¼ n Û ¼ß ¼ F « Ñ[ þ t _ \ P S X í ß ¸[ þ t s . : r

?

/ ¦ e . ì ø Í& h Ü ¼ Ð · ú À Òp ³ o u > : x _ r ¼ # õ Å Ò^ o = > :

x _ r ¼ # [ þ t s ? / H Ó ü t$ í u Ì º§ Â > ½ ¨ì r ÷ &# Qt

¦ e 6 £ §` ¦ · ú Ã º e H X < · ú p ³ o u > : x _ F « Ñ(Al MMCü <

Ðs ¦ e . s H y r ¼ # [ þ t Å Ò $ í ì r s · ú p ³ o u õ ^ o =s l

M :ë H כ Ü ¼ Ð K $ 3 ) a [10]. Table 2\ \ P S X í ß ¸ 8 £ ¤

&

ñ õ \ ¦ & ñ o K " f ? /% 3 . 8 £ ¤& ñ Ô ¦S X ¸ H ± 5.5 % s

? /% i .

2. R ° Ç ¤X N Ë

{ 9

5 Å qZ O (Continuous scanning method)õ Û ¼9 \ \ P

Fig. 8. Obtained specific heat values of the brake disk materials by DSC apparatus.

Z O

(Stepwise heating method)Ü ¼ Ð ½ ¨ì r ÷ & H X < : r z ´+ « >\

"

f H Û ¼9 \ \ P Z O ` ¦ 6 x % i . DSC\ ¦ s 6 x ô Ç q \ P 8 £ ¤

&

ñ r ° ú É r ¸| \ " f 3 _ 8 £ ¤& ñ s 9 כ ¹ . Fig. 7õ

° ú

: H §& ñ l 0 A # q \ P ` ¦ · ú ¦ e H ³ ðï r l ï rÓ ü t` ¦ 8

£ ¤& ñ 9, t } Ü ¼ Ð 8 £ ¤& ñ ¦ H r « Ñ\ ¦ 8 £ ¤& ñ ô Ç

»t { 9 & ñ : r ¸5 Å q ¸ Ê ê r 1 p x : r õ & ñ ` ¦ u H

5 Å qZ O É r : r ¸½ ¨ç ß s { 9 ì ø Í& h Ü ¼ Ð 100 ∼ 200

^◦

C s . & ³ F

∼ 100

^◦

É r 6 £ § õ ° ú É r õ & ñ \ _ ô Ç .

1) Ø æì r ô Ç Z s Û ¼ _ î ß & ñ o\ ¦ 0 Aô Ç 1 p x : r ½ ¨ç ß \ " f r

ç ß ç ß ` ¦ & ñ ô Ç .

&

h

6 x t · ú § H .

3) r õ 7 á x « Ñ : r ¸\ ¦ & ñ ô Ç . (T

^b

ü < T

^f

) 4) 5 p x : r 5 Å q ¸\ ¦ & ñ ô Ç .( 5 ∼ 10 K/min)

5) 1 p x : r l _ î ß & ñ o\ ¦ 0 A # 1 p x : r ½ ¨ç ß _ ç ß ` ¦

&

ñ ô Ç . Ð: x 2 ∼ 10ì r Ü ¼ Ð ô Ç .

0 Aü < ° ú É r 8 £ ¤& ñ í H " f Ð 8 £ ¤& ñ ô Ç \ P | ¾ ÓX <s ' \ ¦ 6 x # 5

p

x : r Ê ê_ ½ ¨ç ß ` ¦ & h ì r ¦, : r ¸ H ¨ î ç H # ½ ¨ç ß _

¨ î ç H q \ P ` ¦ ½ ¨ô Ç .

^◦

C : r ¸ % ò % i \ " f 5 r m

8 £ ¤& ñ ) a q \ P ° ú כ[ þ t _ ¨ î ç H u \ ¦ ? / ¦ e . \ P S X í ß

¸ü < ð ø Ít Ð · ú p ³ o u > : x _ F « Ñ[ þ t s Å Ò^ o => : x F

«

\

7 £ x H â ¾ Ó[ þ t` ¦ ? / ¦ e Ü ¼ 9 8 £ ¤& ñ Ô ¦S X

¸ H ± 6.2 % % i .

Fig. 9. Obtained thermal conductivity values by calcu-

lation using Equation (17).

(6)

Table 3. The obtained specific heat values. (unit: J/gK).

Sample

T (

^◦

C) FC250 FCD50 FC170 A356 Al MMC 20 0.503 0.500 0.510 0.931 0.874 100 0.530 0.522 0.537 0.952 0.912 200 0.563 0.565 0.567 1.015 0.972 300 0.611 0.615 0.629 1.019 1.011 400 0.641 0.655 0.658 1.170 1.129 500 0.701 0.721 0.712 1.228 1.197

Table 4. The measured density of the samples. (unit: × 10

⁶

kg/m

³

).

sample FC250 FCD50 FC170 A356 Al MMC density 7.22 7.04 7.08 2.14 2.73

Table 5. The obtained thermal conductivity values by using Equation (17). (unit: W/mK)

Sample

T (

^◦

C) FC250 FCD50 FC170 A356 Al MMC 20 42.38 26.23 58.36 150.01 155.75 100 43.06 28.64 57.84 169.13 164.06 200 44.23 31.69 53.40 178.76 163.68 300 43.55 33.60 51.23 177.37 159.71 400 40.67 33.73 46.44 205.83 173.02 500 39.72 33.80 43.70 201.39 166.85

3. ° Ç ¹ Åy ¢y ¢ 4 m

· ú

DCS \ _ K 8 £ ¤& ñ ) a q \ P (C

p

) x 9 x 9 ¸(ρ)\ ¦ s 6 x

6 £ § d Ü ¼ Ð \ P ¸ ¸(k)\ ¦ > í ß Ü ¼ Ð % 3 ` ¦ Ã º e [11].

Table 4 H 8 £ ¤& ñ ) a y r ¼ # [ þ t _ x 9 ¸s .

k = C

_p

· a · ρ (14) Å

ß ÷ &# Q y r ¼ # [ þ t _ \ P ¸ ¸\ ¦ Ð# Å Ò ¦ e . · ú ¡_ Fig. 6 \ · p \ P S X í ß ¸ X <s ' \ " f \ V8 £ ¤ ÷ &% 3 1 p w s · ú p

³ o u > : x F « Ñ[ þ t _ \ P ¸ ¸ ¢ ¸ô Ç Å Ò^ o = > : x F « Ñ[ þ t Ð

2C s H ° ú כ` ¦ Ð# º ¡ §` ¦ · ú Ã º e .

IV. + s Ç Â ] Ø

FC250, FC170, FCD50, A356, Al MMC 1 p x 57 á x À Ó_ Ú Ô Y

Us ß ¼ n Û ¼ß ¼/× ¼! 3 F « Ñ_ \ P S X í ß ¸, q \ P , \ P Ø ½ Ó> Ã º

\

¦ © : r ∼ 500

^◦

C : r ¸ # 3 0 A\ " f 8 £ ¤& ñ ¦ \ P ¸ ¸\ ¦

½

¨ % i . $ 3 F gZ O (laser flash)Ü ¼ Ð 8 £ ¤& ñ ô Ç \ P S X í ß ¸ H : r

H Æ Ò[ j\ ¦ ? /% 3 . \ P S X í ß ¸, q \ P , x 9 ¸\ ¦ s 6 x

#

{ 9 & ñ ¢ - a ë ß > y è % i ¦ · ú p ³ o u s < ÊÄ » ) a F

« Ñ H ¢ - a ë ß > 7 £ x % i . : r ½ ¨\ " f ½ ¨ô Ç \ P Ó ü t$ í

° ú

כ[ þ t` ¦ Ä »ô Çכ ¹ èZ O \ & h 6 x # Ú ÔY Us ß ¼ n Û ¼ß ¼_ : r ¸ ì

r í\ ¦ \ V8 £ ¤ x 9 \ P + þ Aõ \ P 6 £ x§ 4 K $ 3 \ 6 £ x6 x ½ + É \ V& ñ s

.

P

c p 8 ý ò k >

s

7 Hë H É r 2005¸ Ö ¦ í ß @ / < Æ §_ ½ ¨q \ _ #

½

¨÷ &% 3 _ þ v m . Ú ÔY Us ß ¼ n Û ¼ß ¼F « Ñ\ ¦ ] j/ B N K Å Ò " î o /

Y

c p w Ã U Ø ô

[1] F. Bergman, M, M. Eriksson and S. Jacobson, Wear 225-229, 621 (1999).

[2] A. Yevtushenko and E. Ivanyk, Wear 189, 159 (1995).

[3] M. Naji and M. AL-Nimr, Int. Comm. Heat Mass Transfer 28, 835 (2001).

[4] W. J. Parker, R. J. Jenkins, C. P. Butler and G. L.

Abbott, J. Appl. Phys. 32, 1679 (1961).

[5] S. H. Lee, S. W. Kim and S. W. Park, Ungyong mulli(Korean J. of Appl. Phys.) 3, 393 (1990).

[6] H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, 2nd ed. (Oxfird Univ., Oxfird, 1959), p.

258. [7] K. Giering, I. Lamprecht, O. Minet and A. Handke, Thermochimica Acta 251, 199 (1995).

[8] S. C. Mraw, Rev. Sci. Instrum. 53, 228 (1982).

[9] S. W. Kim, S. H. Hahn, J. C. Kim, D. Chi and J.

H. Kim, Ungyongmulli(Korean J. of Appl. Phys.) 7, 46 (1994).

[10] Y. S. Tolukian, et al., Thermal Diffusivity, Thermo- physical Properties of Matter Vol. 4 (IFI/Plenum, New York and Washington, 1973).

[11] S. H. Lee, J. C. Kim, J. M. Park, C. K. Kim and S.

W. Kim, Int. J. Thermophys. 24, 1355 (2003).

(7)

Thermophysical Properties of Metallic Brake Disk Materials

Sok Wok Kim

^∗

University of Physics, University of Ulsan, Ulsan 680-749

Sang Hyun Lee

Division of Physical Metrology, Korea Research Institute of Standards and Science, Daejon 305-600 (Received 2 September 2005)

The temperature distribution, the thermal deformation, and the thermal stress of automobile brake disks have quite close relations with car safety; therefore, much research in this field has been performed. However, successful and satisfactory results have not been obtained because the temperature-dependent thermophysical properties of brake disk materials are not sufficiently known.

In this study, the thermal diffusivity and the specific heat of three kinds of iron series brake disk materials, FC250, FC170, and FCD50, and two kinds of aluminum series brake disk materials, Al MMC and A356, were measured in the temperature range from room temperature to 500

^◦

C, and the thermal conductivity was calculated using the measured thermal diffusivity, specific heat, density data. The result shows that the thermophysical properties of the aluminum series are larger than those of the iron series by 2 × 4 times. The obtained data are applicable as basic input data in the study of the temperature distribution and in the thermal analysis of brake disks.

PACS numbers: 65, 65.90.+i

Keywords: Brake disk, Thermophysical property, Thermal diffusivity, Specific heat, Thermal conductivity, Thermal stress, Thermal deformation

∗

? Ò ×4 ¬ 7 _T ±  O ­ ±  < 0z »8 ý °  Ç ö n ÚV R Ë



£

? Ò ×4  ¬ 7 _T ±  O ­ ±  < 0z »8 ý °  Ç ö n ÚV R Ë

 ») o  4 w H ∗

Ö 

¦ í ß @ / < Æ § Ó ü t o  < Æõ , Ö  ¦ í ß  680-749

T

 ç ¡g ` @

ô

 Ç² D G ³ ðï  r õ  < Æ  ½ ¨" é ¶ Ó ü t o ³ ðï  r Â Ò, @ /  305-600 (2005¸  9 Z 4 2{ 9  ~ Ã Î6 £ §)



1 l x  Ú ÔY Us ß ¼ n Û ¼ß ¼_   : r  ¸ì  r  íü < \ P   + þ A, \ P 6 £ x§ 4  É r  1 l x _  î ß   $ í õ  f  ] X & h    ' aº  `  ¦ ° ú 



¦ e  # Q" f s \   ' a ô  Ç   ½ ¨ t F K  t  ´ ú §s  Ã º'  ÷ &# Q M ® o t ë ß  n Û ¼ß ¼_   : r  ¸\    É r \ P    ¸ ¸, \ P S X  í ß 



!

3 F « Ñ_  \ P S X  í ß  ¸ü < q \ P `  ¦  ©  : r ∼ 500

C  : r  ¸% ò % i \ " f 8 £ ¤& ñ  ¦ s \  ¦ s 6 x #  \ P    ¸ ¸\  ¦ ½ ¨

% i  . Õ ª   õ  · ú p ³ o u >  F « Ñ_  \ P S X  í ß  ¸, q \ P  Õ ªo  ¦ \ P    ¸ ¸ Å Ò^ o =>  Ð  2 ∼ 4C  s  ©   H ° ú כ

` 

¦ f  `  ¦ S X    % i  ¦ s    õ [ þ t É r Ú ÔY Us ß ¼ n Û ¼ß ¼_   : r  ¸ì  r  íü < \ P K $ 3 _  l  : r X <s '  Ð  6 x| ¨ c

\ V& ñ s  .

PACS numbers: 65, 65.90.+i

Keywords: Ú ÔY Us ß ¼ n Û ¼ß ¼, \ P Ó ü t$ í , \ P S X  í ß  ¸, q \ P , \ P    ¸ ¸, \ P 6 £ x§ 4 , \ P   + þ A

I. " e Â ] Ø



1 l x  ] j1 l x  © u _  n Û ¼ß ¼ü < J × ¼  H ] j1 l x  © u  ×  æ | ¾ Ó _

 1 l x& h \  -t \  ¦ f  ] X  f  ¨ Ã º   H Â Òì  r Ü ¼ Ð" f þ j   H _    1

l

x  > hµ 1 Ï $ í  ¾ Ós   ¦$ í 0 p x, î ß & ñ $ í , $  è6 £ §, $    1 l x`  ¦ Æ Ò

½

¨ < Ê\     õ  \   H ×  æ כ ¹ >  #  t t  · ú §  ¤t ë ß    H A

Â Ò'   H ß ¼>  ×  æ כ ¹$ í `  ¦ { >   ) a Â Ò¾ ¡ §[ þ t ×  æ _   s   [1]. Fig. 1 õ  ° ú  É r n Û ¼ß ¼ Ú ÔY Us ß ¼\ " f µ 1 ÏÒ q t   H ë  H ]

j& h [ þ t  Ð" f  H ³ ð   : r  ¸ © 5 p x, \ P \  _ ô  Ç \ P (ß ¼Ï þ ), \ P 



 + þ A, s  ©   1 l x, n Û ¼ß ¼ü < J × ¼_  s  ©   ¸, 6 f# Qf  , ¸ ú  6

£

§ µ 1 ÏÒ q t 1 p x`  ¦ [ þ t Ã º e   . s  Qô  Ç ë  H ] j& h [ þ t É r Å Ò Ð n Û ¼ ß

¼, J × ¼, Ö  qo ( , Õ ªo  ¦ s [ þ t ] j1 l x  © u \  ¦ t t   ¦ e  



 H Â Òì  r[ þ t _  4  ¤ ½ + Ë& h    ©  ñ  6 x \  _ K " f µ 1 ÏÒ q tô  Ç . s 



Qô  Ç  & ³ © _  K $ 3 `  ¦ 0 AK " f  H n Û ¼ß ¼ r Û ¼% 7 _  \ P \  _  ô

 Ç  : r  ¸  o_  K $ 3 s   9 Ã º& h s   [2].



© r ç ß    5 Å q& h s    ì ø Í4  ¤ ) a ] j1 l x r  µ 1 ÏÒ q t   H õ  ¸ô  Ç



: r  ¸  © 5 p x É r n Û ¼ß ¼³ ð  \  ? /  ¸$ í s  y © ô  Ç Ø ÔJ $   s

à Ô $ í ì  r`  ¦ Ô  ¦ ½ ©g Ë : >  z      õ & h Ü ¼ Ð n Û ¼ß ¼_  Ô  ¦ ç

 H{ 9 ô  Ç  ¸\  ¦ { 9 Ü ¼v  ¦ s   H / B I Ú ÔY Us ß ¼_  s  ©   1 l x Ü

¼ Ð      ) a . ô  Ç¼ # ¹ 1 ÏF \  ¦ :  x K  Ö  qo (  Ð   ² ú ÷ &  H

E-mail: [email protected]

\ P

| ¾ Ós  t  u >  ´ ú § t   Ú ÔY Us ß ¼Ó  oõ  Ö  qo (  Ó  o_   : r



¸ t  u >  Z  }  4 R" f l  í µ 1 ÏÒ q t    Ö  qo (  x  Û

¼ : r 9 `  ¦  < H  © r &  ] j1 l x  © u _   ¦ © `  ¦ 4 R ¸>   ) a .



 " f  1 l x _  ] j" é ¶ õ  Å Ò'    ¸Ä º× ¼ Å Ò# Qt   [ O >  é

ß > \ " f_   : r  ¸K $ 3 s  þ j& h _  \ P 6 x | ¾ Ó`  ¦   n Û ¼ß ¼ Ú Ô Y

Us ß ¼_  [ O > \  ¦ 0 AK " f  H  9 Ã º& h s   [3].

Ú

ÔY Us ß ¼ n Û ¼ß ¼_   : r  ¸ì  r  íü < \ P   + þ A, \ P 6 £ x§ 4 \   ' a ô

 Ç   ½ ¨  H t F K  t  ´ ú §s  Ã º'  ÷ &# Q M ® o t ë ß  n Û ¼ß ¼_   : r



¸ü <  © I \    É r & ñ S X  ô  Ç \ P Ó ü t$ í ° ú כ(\ P    ¸ ¸, \ P S X  í ß  ¸, q

\ P  1 p x) _  p q  Ð   K  Ø  æì  r ô  Ç $ í õ \  ¦  ¿ ºt  3 l w % i  .



: r   ½ ¨\ " f  H FC250, FC170, FCD50 1 p x 37 á x _  Å Ò^ o =

>

:  x x 9 Al MMCü < A356 1 p x 27 á x _  · ú À Òp ³ o u > :  x( ½ + Ë>  57 á x À Ó) Ú ÔY Us ß ¼ n Û ¼ß ¼/× ¼! 3 F « Ñ_  \ P S X  í ß  ¸ü < q \ P `  ¦



©  : r ∼ 500

C % ò % i \ " f 8 £ ¤& ñ  ¦ (\ P    ¸ ¸ = \ P S X  í ß 



¸ × q \ P  × x 9  ¸)d  \  _ K  \ P    ¸ ¸\  ¦ ½ ¨ % i  .

II. T Â ] Ø

1. V È° Ë Ñ0 n É °  Ç½  Ê  my ¢  ¤X N ËX ê sV 

$ 3

? Ò ×4 ¬ 7 _T ± O ± < 0z »8 ý ° Ç ö n ÚV R Ë

? Ò ×4 ¬ 7 _T ± O ± < 0z »8 ý ° Ç ö n ÚV R Ë

») o 4 w H ^∗

Ö

¦ í ß @ / < Æ § Ó ü t o < Æõ , Ö ¦ í ß 680-749

ç ¡g ` @

Ç² D G ³ ðï r õ < Æ ½ ¨" é ¶ Ó ü t o ³ ðï r Â Ò, @ / 305-600 (2005¸ 9 Z 4 2{ 9 ~ Ã Î6 £ §)

1 l x Ú ÔY Us ß ¼ n Û ¼ß ¼_ : r ¸ì r íü < \ P + þ A, \ P 6 £ x§ 4 É r 1 l x _ î ß $ í õ f ] X & h ' aº ` ¦ ° ú

¦ e # Q" f s \ ' a ô Ç ½ ¨ t F K t ´ ú §s Ã º' ÷ &# Q M ® o t ë ß n Û ¼ß ¼_ : r ¸\ É r \ P ¸ ¸, \ P S X í ß

3 F « Ñ_ \ P S X í ß ¸ü < q \ P ` ¦ © : r ∼ 500

C : r ¸% ò % i \ " f 8 £ ¤& ñ ¦ s \ ¦ s 6 x # \ P ¸ ¸\ ¦ ½ ¨

% i . Õ ª õ · ú p ³ o u > F « Ñ_ \ P S X í ß ¸, q \ P Õ ªo ¦ \ P ¸ ¸ Å Ò^ o => Ð 2 ∼ 4C s © H ° ú כ

`

¦ f ` ¦ S X % i ¦ s õ [ þ t É r Ú ÔY Us ß ¼ n Û ¼ß ¼_ : r ¸ì r íü < \ P K $ 3 _ l : r X <s ' Ð 6 x| ¨ c

\ V& ñ s .

Keywords: Ú ÔY Us ß ¼ n Û ¼ß ¼, \ P Ó ü t$ í , \ P S X í ß ¸, q \ P , \ P ¸ ¸, \ P 6 £ x§ 4 , \ P + þ A

1 l x ] j1 l x © u _ n Û ¼ß ¼ü < J × ¼ H ] j1 l x © u × æ | ¾ Ó _

1 l x& h \ -t \ ¦ f ] X f ¨ Ã º H Â Òì r Ü ¼ Ð" f þ j H _ 1

x > hµ 1 Ï $ í ¾ Ós ¦$ í 0 p x, î ß & ñ $ í , $ è6 £ §, $ 1 l x` ¦ Æ Ò

¨ < Ê\ õ \ H × æ כ ¹ > # t t · ú § ¤t ë ß H A

Â Ò' H ß ¼> × æ כ ¹$ í ` ¦ { > ) a Â Ò¾ ¡ §[ þ t × æ _ s [1]. Fig. 1 õ ° ú É r n Û ¼ß ¼ Ú ÔY Us ß ¼\ " f µ 1 ÏÒ q t H ë H ]

j& h [ þ t Ð" f H ³ ð : r ¸ © 5 p x, \ P \ _ ô Ç \ P (ß ¼Ï þ ), \ P

+ þ A, s © 1 l x, n Û ¼ß ¼ü < J × ¼_ s © ¸, 6 f# Qf , ¸ ú 6

§ µ 1 ÏÒ q t 1 p x` ¦ [ þ t Ã º e . s Qô Ç ë H ] j& h [ þ t É r Å Ò Ð n Û ¼ ß

¼, J × ¼, Ö qo ( , Õ ªo ¦ s [ þ t ] j1 l x © u \ ¦ t t ¦ e

H Â Òì r[ þ t _ 4 ¤ ½ + Ë& h © ñ 6 x \ _ K " f µ 1 ÏÒ q tô Ç . s

Qô Ç & ³ © _ K $ 3 ` ¦ 0 AK " f H n Û ¼ß ¼ r Û ¼% 7 _ \ P \ _ ô

Ç : r ¸ o_ K $ 3 s 9 Ã º& h s [2].

© r ç ß 5 Å q& h s ì ø Í4 ¤ ) a ] j1 l x r µ 1 ÏÒ q t H õ ¸ô Ç

: r ¸ © 5 p x É r n Û ¼ß ¼³ ð \ ? / ¸$ í s y © ô Ç Ø ÔJ $ s

à Ô $ í ì r` ¦ Ô ¦ ½ ©g Ë : > z õ & h Ü ¼ Ð n Û ¼ß ¼_ Ô ¦ ç

H{ 9 ô Ç ¸\ ¦ { 9 Ü ¼v ¦ s H / B I Ú ÔY Us ß ¼_ s © 1 l x Ü

¼ Ð ) a . ô Ç¼ # ¹ 1 ÏF \ ¦ : x K Ö qo ( Ð ² ú ÷ & H

| ¾ Ós t u > ´ ú § t Ú ÔY Us ß ¼Ó oõ Ö qo ( Ó o_ : r

¸ t u > Z } 4 R" f l í µ 1 ÏÒ q t Ö qo ( x Û

¼ : r 9 ` ¦ < H © r & ] j1 l x © u _ ¦ © ` ¦ 4 R ¸> ) a .

" f 1 l x _ ] j" é ¶ õ Å Ò' ¸Ä º× ¼ Å Ò# Qt [ O > é

ß > \ " f_ : r ¸K $ 3 s þ j& h _ \ P 6 x | ¾ Ó` ¦ n Û ¼ß ¼ Ú Ô Y

Us ß ¼_ [ O > \ ¦ 0 AK " f H 9 Ã º& h s [3].

ÔY Us ß ¼ n Û ¼ß ¼_ : r ¸ì r íü < \ P + þ A, \ P 6 £ x§ 4 \ ' a ô

Ç ½ ¨ H t F K t ´ ú §s Ã º' ÷ &# Q M ® o t ë ß n Û ¼ß ¼_ : r

¸ü < © I \ É r & ñ S X ô Ç \ P Ó ü t$ í ° ú כ(\ P ¸ ¸, \ P S X í ß ¸, q

\ P 1 p x) _ p q Ð K Ø æì r ô Ç $ í õ \ ¦ ¿ ºt 3 l w % i .

: r ½ ¨\ " f H FC250, FC170, FCD50 1 p x 37 á x _ Å Ò^ o =

: x x 9 Al MMCü < A356 1 p x 27 á x _ · ú À Òp ³ o u > : x( ½ + Ë> 57 á x À Ó) Ú ÔY Us ß ¼ n Û ¼ß ¼/× ¼! 3 F « Ñ_ \ P S X í ß ¸ü < q \ P ` ¦

© : r ∼ 500

C % ò % i \ " f 8 £ ¤& ñ ¦ (\ P ¸ ¸ = \ P S X í ß

¸ × q \ P × x 9 ¸)d \ _ K \ P ¸ ¸\ ¦ ½ ¨ % i .

II. T Â ] Ø

1. V È° Ë Ñ0 n É ° Ç½ Ê my ¢ ¤X N ËX ê sV

F gZ O (laser flash method)\ _ ô Ç \ P S X í ß ¸ 8 £ ¤& ñ É r

1961¸ Parker 1 p x \ _ K % 6 £ § Ü ¼ Ð > hµ 1 Ï÷ &# Q ¦^ F « Ñ

\ P S X í ß ¸ 8 £ ¤& ñ Z O Ü ¼ Ð & ³F © V , o s 6 x ÷ & ¦ e [4]. s ~ ½ ÓZ O É r " é ¶ ì ø Í ¸ ª _ r ¼ # ` ¦ ` O Û ¼& h Ü ¼ Ð

¦ r ¼ # z ´ » _ : r ¸ o\ ¦ K $ 3 # \ P S X í ß ¸\ ¦ ½ ¨

H ~ ½ ÓZ O s .

F gZ O \ " f H Fig. 2 ü < ° ú s ì ø Í Á ºô Ç@ / " é ¶ ì ø Í_ r ¼ #

` ¦ 4 S q < ÊÃ º& h ` O Û ¼ Ð \ P Ù þ ¡` ¦ M : Carslaw ü <

Jaeger \ Ø Ô t = 0{ 9 M : ` O Û ¼ F g` ¦ ~ Ã Î ¦ " f ë ß p u _ r

ç ß s â õ ô Ç Ê ê ¿ ºa L r ¼ # _ U ·s x\ " f_ : r ¸

o T (x, t) H

¼ Ð è q Ã º e [5,6]. # l " f a H r ¼ # _ \ P S X í ß ¸ s

. Õ ª X < x = 0 r ¼ # ³ ð \ " f $ 3 F g \ -t Q ç H { 9

> { 9 ÷ &# Q U ·s g t f ¨ Ã º÷ &% 3 Õ ª M :_ : r ¸ ì

r í H 6 £ § õ ° ú > ) a .

ü < ° ú É r íl ¸| \ _ K " f d (1) É r

Ð è q Ã º e > ) a . # l " f ρ H x 9 ¸, C

H & ñ · ú q

\ P s . Ô ¦ È Ò" î ô Ç Ó ü t| 9 \ " f H g Ø æì r y Ü ¼Ù ¼ Ð

sin(nπg/L) ∼ nπg/L Ð Ñ ü t Ã º e Ü ¼Ù ¼ Ð r ¼ # z ´ » _ : r

¸ o H

Ð ³ ð & ³ 0 p x . d (1)\ " f r ¼ # z ´ » _ þ j@ / : r ¸ © 5

p x u H