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Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe...

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Mechanical and physical properties of ZnSe windows to be used with the FEANICS (Flow Enclosure Accommodating Novel Investigations in Combustion of Solids) experiments were measured in order to determine design allowables. In addition, the literature on crack growth properties was summarized. The average Young’s modulus, Poisson’s ratio, equibiaxial fracture strength, flaw size, grain size, Knoop hardness, Vicker’s hardness, and branching constant were 74.3 ± 0.1 GPa, 0.31, 57.8 ± 6.5 MPa, 21 ± 4 mm, 43 ± 9 um, 0.97 ± 0.02 GPa, 0.97 ± 0.02 GPa, and 1.0 ± 0.1 MPam^0.5, respectively. The properties of current ZnSe made by chemical vapor deposition are in good agreement with those measured in the 1970’s. The hardness of CVD ZnSe windows is about one twentieth of the sapphire window being replaced, and about one-sixth of that of window glass. Thus the ZnSe window must be handled with great care. The large grain size relative to the inherent crack size implies the need to use single crystal crack growth properties in the design process. In order to determine the local failure stresses in one of the test specimens, a solution for the stresses between the support ring and the edge of a circular plate load between concentric rings was derived. https://ntrs.nasa.gov/search.jsp?R=20060051712 2020-07-20T02:56:50+00:00Z
Transcript
Page 1: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

Mechanical and physical properties of ZnSe windows to be used with the FEANICS (Flow Enclosure Accommodating Novel Investigations in Combustion of Solids) experiments were measured in order to determine design allowables. In addition, the literature on crack growth properties was summarized. The average Young’s modulus, Poisson’s ratio, equibiaxial fracture strength, flaw size, grain size, Knoop hardness, Vicker’s hardness, and branching constant were 74.3 ± 0.1 GPa, 0.31, 57.8 ± 6.5 MPa, 21 ± 4 mm, 43 ± 9 um, 0.97 ± 0.02 GPa, 0.97 ± 0.02 GPa, and 1.0 ± 0.1 MPam^0.5, respectively. The properties of current ZnSe made by chemical vapor deposition are in good agreement with those measured in the 1970’s. The hardness of CVD ZnSe windows is about one twentieth of the sapphire window being replaced, and about one-sixth of that of window glass. Thus the ZnSe window must be handled with great care. The large grain size relative to the inherent crack size implies the need to use single crystal crack growth properties in the design process. In order to determine the local failure stresses in one of the test specimens, a solution for the stresses between the support ring and the edge of a circular plate load between concentric rings was derived.

https://ntrs.nasa.gov/search.jsp?R=20060051712 2020-07-20T02:56:50+00:00Z

Page 2: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

1

Mec

hani

cal P

rope

rties

of Z

nSe

for

the

FEA

NIC

S M

odul

e

Jon

Sal

em

NA

SA

Gle

nn R

esea

rch

Cen

ter

Cle

vela

nd, O

hio

2006

Ele

ctro

mag

netic

Win

dow

s S

ympo

sium

May

1 -

4, 2

006

Page 3: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

2

OU

TLIN

E

Bac

kgro

und;

FE

AN

ICS

Mis

sion

Gen

eral

pro

perti

es o

f ZnS

eE

stim

atio

n of

cra

ck g

row

th p

aram

eter

sG

rain

siz

e ef

fect

sTe

st re

sults

S

umm

ary

Page 4: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

3

BA

CK

GR

OU

ND

NA

SA

mis

sion

s re

quire

the

safe

-use

of

ligh

t wei

ght b

rittle

mat

eria

ls:

-Spe

cial

ty W

indo

ws

-Sol

ar c

once

ntra

tors

-Ele

ctro

nic

subs

trate

s-C

ombu

stor

line

rs-B

earin

g ba

lls-L

eadi

ng e

dges

Sing

le C

ryst

al

Appl

icat

ions

Poly

crys

talli

ne

& C

ompo

site

Ap

plic

atio

ns

}

Page 5: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

4

FEA

NIC

S

Mis

sion

-su

ppor

t stu

dy c

ombu

stio

n of

thic

k an

d th

in s

olid

fuel

s in

mic

rogr

avity

:

Forc

ed I

gniti

on a

nd S

prea

d Te

st

Solid

Inf

lam

mab

ility

Bou

ndar

y A t

Low

-Spe

ed

ZnS

e w

indo

w

Flow

Enc

losu

re A

ccom

mod

atin

g N

ovel

In

vest

igat

ions

in C

ombu

stio

n of

Sol

ids

ZnSe

w

indo

ws

Pres

suriz

ed

com

bust

ion

cham

ber

Win

dow

ho

lder

Win

dow

as

sem

bly G

aske

tO

-rin

gs2.

25”

Page 6: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

5

OB

JEC

TIV

ES

Rev

iew

lite

ratu

re o

n fra

ctur

e to

ughn

ess,

stre

ngth

and

cr

ack

grow

th p

rope

rties

for C

VD

ZnS

e.Id

entif

y de

sign

val

ues

for r

oom

tem

pera

ture

, hig

h hu

mid

ity e

nviro

nmen

t: ap

plie

d st

ress

of 1

0 M

Pa

for 1

0 ye

ars.

Run

nec

essa

ry te

sts

to c

ompl

imen

t the

lite

ratu

re d

ata.

Mos

t pap

ers

did

not g

ive

full

para

met

er s

et fo

r des

ign

=> A

dditi

onal

obj

ectiv

e: re

anal

yze

exis

ting

data

set

s.

Page 7: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

6

CV

D Z

nSe

Lite

ratu

re

Ope

n Li

tera

ture

:

1.A

.G. E

vans

and

H. J

ohns

on, “

A F

ract

ure-

Mec

hani

cs S

tudy

of Z

nSe

for L

aser

Win

dow

App

licat

ions

,”J.

Am

. Cer

am. S

oc. V

ol.

58, N

o. 5

-6, p

p. 2

44-2

49 (1

975)

2.S

.W. F

reim

an, J

.J. M

echo

lsky

, Jr.,

R.W

. Ric

e, a

nd J

.C. W

urst

, “In

fluen

ce o

f Mic

rost

ruct

ure

on C

rack

Pro

paga

tion

in Z

nSe,

”J.

Am

. Cer

am. S

oc.,

vol.

58, N

o. 9

-10,

pp.

406

–40

9 (1

975)

3.

P. M

iles,

“Hig

h Tr

ansp

aren

cy In

frare

d M

ater

ials

–A

Tec

hnol

ogy

Upd

ate,

”Opt

. Eng

., V

ol. 1

5, N

o. 5

, pp.

451

-459

(197

6).

4.K

.R. M

cKin

ney,

J.J

. Mec

hols

ky, J

r., a

nd S

.W. F

reim

an, “

Del

ayed

Fai

lure

in C

hem

ical

ly D

epos

ited

ZnS

e,”J

. Am

. Cer

amic

S

oc.,

Vol

. 62,

No.

7-8

, pp

. 336

-340

, (19

79)

5.R

.W. R

ice,

S.W

. Fre

iman

, and

J.J

. Mec

hols

ky, J

r., “T

he D

epen

denc

e of

Stre

ngth

-Con

trolli

ng F

ract

ure

Ene

rgy

on th

e Fl

aw-

Siz

e to

Gra

in-S

ize

Rat

io,”

J. A

m. C

eram

. Soc

.,V

ol. 6

3, N

o. 3

-4, p

p. 1

29-1

36 (1

980)

.6.

N. F

erne

ilus,

G, G

rave

s, a

nd W

. Kne

ct, “

Cha

ract

eriz

atio

n of

Can

dida

te L

aser

Win

dow

Mat

eria

ls,”

pp. 1

88-1

95 in

SP

IE V

ol.

297

Em

ergi

ng O

ptic

al M

ater

ials

, (19

81)

7.R

.L. T

aylo

r and

J.S

. Goe

la, “

Spe

cific

atio

n of

Infra

red

Opt

ical

Mat

eria

ls fo

r Las

er A

pplic

atio

ns,”

pp. 2

2-35

in S

PIE

Vol

. 607

O

ptic

al C

ompo

nent

Spe

cific

atio

ns fo

r Las

er B

ased

Sys

tem

s an

d O

ther

Mod

ern

Opt

ical

Sys

tem

s, (1

986)

.8.

“Est

imat

ion

of Z

nSe

Cra

ck G

row

th P

rope

rties

for D

esig

n of

the

FEA

NIC

S (F

low

Enc

losu

re A

ccom

mod

atin

g N

ovel

In

vest

igat

ions

in C

ombu

stio

n of

Sol

ids)

Win

dow

s,”J

.A. S

alem

, NA

SA

TM

213

359,

200

5.

9.“M

echa

nica

l Cha

ract

eriz

atio

n of

ZnS

e W

indo

ws

for u

se w

ith th

e Fl

ow E

nclo

sure

Acc

omm

odat

ing

Nov

el In

vest

igat

ions

in

Com

bust

ion

of S

olid

s (F

EA

NIC

S) M

odul

e,”J

.A. S

alem

, NA

SA

TM

214

100,

200

6.

Clo

sed

Lite

ratu

re:

1.J.

C. W

urst

and

T.P

Gra

ham

, “Th

erm

al, E

lect

rical

, and

Phy

sica

l Mea

sure

men

ts o

f Las

er W

indo

ws,

”Uni

vers

ity o

f Day

ton

Res

earc

h In

stitu

te, O

hio,

AFM

L-TR

-75-

28, A

pril

1975

.2.

G.A

. Gra

ves,

D.E

. McC

ullu

m, a

nd J

.M. W

imm

er, “

Inve

stig

atio

n of

the

Ther

mal

, Ele

ctric

al, M

echa

nica

l, an

d P

hysi

cal

Pro

perti

es o

f Inf

rare

d La

ser W

indo

w a

nd IT

Tra

nsm

ittin

g M

ater

ials

,”A

FML-

TR-7

7-23

, UD

RI-T

R-7

7-06

, Apr

il 19

77.

3.D

.J. I

den,

J.A

. Det

rio, J

. Fox

, “O

ptic

al W

indo

w M

echa

nica

l Stre

ngth

and

Rel

iabi

lity,

’Uni

vers

ity o

f Day

ton

Res

earc

h In

stitu

te,

Ohi

o, T

echn

ical

Rep

ort N

o. U

DR

-TR

-83-

73, J

une

1983

.

Page 8: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

7

Mile

s: “i

ncip

ient

flaw

siz

e is

com

para

ble

to th

e gr

ains

siz

e…. T

he

effe

ctiv

e m

ater

ial s

treng

th d

epen

ds o

nly

wea

kly

on th

e vo

lum

e un

der s

tress

……

..onl

y sl

ight

ly o

n th

e de

gree

of p

erfe

ctio

n of

the

surfa

ce p

olis

h.”=

> w

eak

Wei

bull

effe

ct…

….E

ffect

for a

gra

in s

ize?

ZnS

e is

sof

t: S

crat

ches

ext

end

leng

th o

f gra

ins

caus

ing

sing

le

crys

tal,

low

ene

rgy

fract

ure.

Stre

ngth

of Z

nSe

400

100

4525

1610203040506070

Coo

rs, G

ould

, & R

ayth

eon

Mat

eria

ls [1

1]R

ayth

eon

[10]

Roh

m &

Haa

s (T

his

wor

k)

Frac

ture

St

reng

th,

MPa

Gra

in S

ize,

um

(inv

erse

root

sca

le)

Page 9: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

8

Mic

rost

ruct

ure

of C

VD

ZnS

e

Mic

rost

ruct

ure

varie

s w

idel

y, e

xhib

its h

eavy

twin

ning

: l =

42

±2

um p

erpe

ndic

ular

and

47±

3 um

par

alle

l (95

%

conf

iden

ce).

Gra

ins

as la

rge

as 1

50 u

m a

re a

ppar

ent.

0.25

mm

21S

200x

02

7C 5

0x 0

1

0.12

5 m

m

Page 10: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

9

Win

dow

Stre

ngth

(Rin

g-on

-Rin

g Lo

adin

g)

SU

PPO

RT P

LATE

N

LOA

D

ROD

LOA

D

ROD

LOA

D R

ING

SUPP

ORT

RIN

G

BALL

TEST

SP

ECIM

EN

COM

PLIA

NT

LAY

ER O

R

CARB

ON

FO

IL

CARB

ON

FO

IL

LOA

D F

IXTU

RE

SUPP

ORT

FIX

TURE

TAPE

2.25

Thin

win

dow

s:

Page 11: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

10

Stre

ngth

of C

VD

ZnS

e

For w

ell p

olis

hed

ZnS

e, s

treng

th is

~55

MP

a.W

eibu

ll sc

alin

g no

t app

aren

t (st

udy

need

ed),

but

Nee

d si

mili

tude

of f

law

pop

ulat

ion.

Mea

nFr

actu

re

Stre

ngth

, M

Pa

Test

Met

hod

and

Envi

ronm

ent

Test

Met

hod

and

Eniro

nmen

t

4PB

BO

3BR

OR

4PB

4P

B

BO

3B

2030405060708090100

2030405060708090100

Mea

n &

Sta

ndar

d D

evia

tion

CV

D Z

nSe

Wat

erA

ir ~4

5% R

H

Dry

N2

(126

5)(4

05)

A e(mm

) =

Larg

e 4-

PB

Sm

all

4-P

BS

mal

l 4-

PB

Page 12: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

11

Wei

bull

Dis

tribu

tions

(Bal

l-on-

3 B

all L

oadi

ng)

Wei

bull

mod

ulus

of ~

5, n

omin

al s

treng

th o

f >50

MP

a, b

ut

stre

ngth

dep

ends

on

envi

ronm

ent –

SC

G.

σ θm

#

20

30

40

50

60

70

80

90

100

0

Prob

abili

ty

of F

ailu

re

Bia

xial

Fra

ctur

e S

treng

th, M

Pa

Page 13: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

12

Wei

bull

Dis

tribu

tions

(Rin

g-on

-Rin

g Lo

adin

g)

Wei

bull

mod

ulus

of ~

9, n

omin

al s

treng

th o

f ~60

MP

a.

Agr

ees

with

AFM

L da

ta (1

39 te

st, m

= 9.

2, σ

f= 5

4 M

Pa)

.

σ θm

#

20

30

40

50

60

70

80

90

100

Bia

xial

Fra

ctur

e St

reng

th, M

Pa

Prob

abili

ty

of F

ailu

re

Page 14: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

13

Frac

ture

Tou

ghne

ss M

etho

ds

d nP/

2

Wg

W

d

P/2

PW

m

L

a

2h

B

P P

a

Dou

ble

Tors

ion

Dou

ble

Can

tilev

er B

eam

Page 15: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

14

Frac

ture

Tou

ghne

ss M

etho

ds

W

B

a oa 3

a 2a 1

a 1

a

2c

α 1=

a 1/W

α o=

a o/W

α=(a

1+a 2

+a3)

/3W

hR

emov

e4.

5h to

5h

SEPB

CN

B

SCF

or IF

Page 16: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

15

Frac

ture

Tou

ghne

ss

Frac

ture

toug

hnes

s in

crea

ses

with

cra

ck s

ize

and

low

er h

umid

ity:

0.3

M

Pa√

mfo

r sm

all c

rack

s an

d 0.

9 M

Pa√

mfo

r lar

ge c

rack

s in

dry

en

viro

nmen

ts.

AS

TM C

1421

CN

B –

0.43

MP

a√m

.

σ θm

#

Test

Met

hod

and

Env

ironm

ent

Stre

ngth

CN

BIF

DC

B SE

NB

DC

BD

T 0.

0

0.2

0.4

0.6

0.8

1.0

0.0

0.2

0.4

0.6

0.8

1.0

Mea

n &

Sta

ndar

d D

evia

tion

CV

D Z

nSE

Wat

erA

ir ~4

5% R

HD

ry N

2

Incr

easi

ng c

rack

siz

e

Sin

gle

crys

tal

Mea

nFr

actu

re

Toug

hnes

s,

MPa

√m

Page 17: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

16

R-c

urve

Beh

avio

r

Mac

ro c

rack

frac

ture

toug

hnes

s is

sub

stan

tially

la

rger

than

sm

all c

rack

or s

ingl

e cr

ysta

l val

ues.

G

rain

sam

plin

g v

s. g

ain

brid

ging

=>R

-cur

ve…

.

Stre

ss

Inte

nsity

Fa

ctor

, K

I , M

Pa√

m

Cra

ck S

ize,

mm

0.

00.

10.

20.

30.

40.

50.

63.

84.

00.

0

0.2

0.4

0.6

0.8

1.0

Ran

ge o

f exp

ecte

d fla

w s

ize

ac

for F

EA

NIC

S:

Ran

ge o

f mac

rocr

ack

fract

ure

toug

hnes

sm

easu

rem

ents

Cra

ck w

idth

, 2c

Sta

tic L

oad,

Y =

1.2

6

Cra

ck d

epth

, a

Rep

orte

d R

ohm

& H

aas

ZnS

e gr

ain

size

Wat

er

Dry

N2

Sing

le g

rain

sD

ozen

s of g

rain

s

Page 18: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

17

Slo

w C

rack

Gro

wth

(v =

AK

In )

Thre

e ty

pes

of S

CG

dat

a on

ZnS

e:-c

onst

ant s

tress

rate

test

ing

(Dyn

amic

Fat

igue

)-c

onst

ant s

tress

test

ing

(Sta

tic F

atig

ue)

-fra

ctur

e m

echa

nics

test

ing

(DC

B a

nd D

T)

Mai

n is

sues

with

the

data

:-s

mal

l num

ber o

f tes

ts-s

igni

fican

t sca

tter

-poo

r rep

ortin

g

Mac

ro c

rack

stre

ss in

tens

ities

are

sub

stan

tially

larg

er

than

thos

e ex

pect

ed fo

r fai

lure

s fro

m s

mal

l cra

cks

–N

eed

sim

ilitu

de b

etw

een

the

test

dat

a an

d co

mpo

nent

.

Page 19: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

18

Slo

w C

rack

Gro

wth

(Con

stan

t stre

ss ra

te o

r dyn

amic

fatig

ue, w

ater

)

18 d

ata

poin

ts; p

oor r

egre

ssio

n co

effic

ient

an

d la

rge

stan

dard

dev

iatio

ns.

Frac

ture

St

ress

, M

Pa

Stre

ss R

ate,

MPa

/s

0.01

0.1

110

100

3035404550607080

Evan

s &

John

son

B-O

-3B

Reg

ress

ion

95%

Con

fiden

ce In

terv

al

n =

50

32

A =

1.08

x 1

025

r2 = 0

.14±

Page 20: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

19

Slo

w C

rack

Gro

wth

(Con

stan

t stre

ss o

r sta

tic fa

tigue

, air)

29 d

ata

poin

ts; b

ette

r reg

ress

ion

coef

ficie

nt

and

stan

dard

dev

iatio

n; fi

ve ru

n ou

ts.

Failu

re

Tim

e, s

Stre

ss, M

Pa

4550

5560

100

101

102

103

104

105

106

107

Mck

inne

y et

al

Reg

ress

ion

95%

Con

fiden

ce In

terv

alFa

iled

on lo

adin

g

n =

21

6A

= 64

6r2 =

0.3

4±(5

)

Page 21: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

20

Slo

w C

rack

Gro

wth

(DT

and

DC

B in

air)

Two

data

regi

mes

mac

ro a

nd s

mal

l or s

ingl

e cr

ysta

l.N

o m

athe

mat

ical

exp

lana

tion

of th

e sh

ift o

r the

as

sum

ptio

ns u

sed.

Crac

k Ve

loci

ty,

m/s

Stre

ss I

nten

sity

MPa√

m

0.2

0.3

0.4

0.50

.60.

80.9

10-9

10-8

10-7

10-6

10-5

10-4

10-3

10-2

Reg

ress

ion

Frei

man

et a

lEv

ans

and

John

son

Sin

gle

crys

tal e

stim

ate

Frei

man

et a

l.n

= 25

6

A =

6.2

x 10

-3

r2 =

0.69

n =

40A

= 1.

8 x

1018

Single Crystal or Small Crack

Macro-crack

±

Page 22: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

21

Est

imat

ion

of S

mal

l Cra

ck

Par

amet

ers

from

Mac

ro C

rack

Dat

a

Nee

d ob

serv

atio

n of

act

ual,

smal

l cra

ck g

row

th ra

tes.

n IAK

v=

Cra

ck

Vel

ocit

y, v

K Ipo

lyK I

smal

l

Stre

ss I

nte

nsi

ty,K

I

v ter

min

al

Cra

ck

Vel

ocit

y, v

K Ipo

lyK I

smal

l

v ter

min

al

Stre

ss I

nte

nsi

ty,K

I

Mor

e re

alis

tic

mod

el:

Mor

e gr

ain

s en

cou

nte

red

Page 23: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

22

Est

imat

ion

of S

mal

l Cra

ck

Par

amet

ers

from

Mac

ro C

rack

Dat

a

Ass

ume

equi

vale

nt te

rmin

al v

eloc

ity:

Ass

ume

iden

tical

slo

pes

(n):

n IcSi

ngle

Sing

len Ic

Poly

Poly

KA

KA

v=

=

n

IcSi

ngle

IcPo

lyPo

lySi

ngle

KKA

A⎟⎟ ⎠⎞

⎜⎜ ⎝⎛=

n IAK

v=

Crac

k Ve

loci

ty,

vK I

poly

K Ism

all

Stre

ss I

nten

sity

, K I

v ter

min

al

Page 24: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

23

Slo

w C

rack

Gro

wth

(DT,

DC

B, c

onst

ant s

tress

in a

ir)

Two

data

regi

mes

: Mac

ro a

nd s

mal

l or s

ingl

e cr

ysta

l.R

easo

nabl

e ag

reem

ent b

etw

een

smal

l cra

ck a

nd

shift

ed m

acro

cra

ck c

urve

s.

Crac

k Ve

loci

ty,

m/s

Stre

ss I

nten

sity

MPa√

m

0.2

0.3

0.4

0.5

0.6

0.8

0.9

10-9

10-8

10-7

10-6

10-5

10-4

10-3

10-2

Reg

ress

ion

Frei

man

et a

lE

vans

and

Joh

nson

Sing

le c

ryst

al e

stim

ate

Frei

man

et a

l.n

= 25

6

A =

6.2

x 10

-3

r2 =

0.69n

= 25

A =

3.7

x 10

8

Single Crystal or Small Crack

Macro-crack

n =

21

6A

= 4.

82 x

10-6

n =

21

6A

= 6.

5 x

103

McK

inne

y, S

tatic

Loa

d 4P

B, K

Ic =

0.9

0 M

Pam

0.5

McK

inne

y, S

tatic

4P

B, K

Ic =

0.3

3 M

Pam

0.5

±

±

±

Page 25: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

24

0.3

0.4

0.5

0.6

0.8

0.9

10-8

10-7

10-6

10-5

10-4

10-3

10-2

Reg

ress

ion

DC

BD

TDT

and

DC

BD

yn. F

at.,

KIc

= 0

.9 M

Pam

0.5

Dyn

. Fat

., K I

c =

0.33

MPa

m0.

5

Wat

er

n =

12

5A

= 5

x 10

-3

r2 = 0.

22

n =

50

32

A =

9.97

x103

n =

40

2A

= 1.

09 x

103

r2 = 0.

94

Slo

w C

rack

Gro

wth

(DT

and

DC

B in

wat

er)

Con

sist

ent D

T da

ta, s

catte

red

DC

B d

ata.

Crac

k Ve

loci

ty,

m/s

Stre

ss In

tens

ity M

Pa√

m

±

±

±

Page 26: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

25

0.3

0.4

0.5

0.6

0.7

0.8

0

50x1

0-6

100x

10-6

150x

10-6

200x

10-6

250x

10-6

300x

10-6

DC

B, W

ater

DT

Wat

erN

onlin

ear R

egre

ssio

n

Non

linea

r Reg

ress

ion

DC

B A

ir

n =

34.1

A =

124

n =

32.8

A =

1.04

x 1

04

Slo

w C

rack

Gro

wth

(DT

and

DC

B, w

ater

)

DC

B w

ater

dat

a ha

s m

any

low

vel

ocity

, hig

h st

ress

in

tens

ity v

alue

s –

crac

k pi

nned

-tru

ncat

e.

Non

linea

r fits

giv

e sm

alle

r par

amet

ers.

Crac

k Ve

loci

ty,

m/s

Stre

ss I

nten

sity

MPa√

m

}{

Page 27: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

26

0.2

0.3

0.4

0.5

0.6

0.8

0.9

10-9

10-8

10-7

10-6

10-5

10-4

10-3

10-2

Reg

ress

ion

DT

Eva

ns &

Joh

nson

, DT

& D

CB

Con

st. s

tress

rate

B-O

-3B,

KIc

= 0.

9 M

Pam

0.5

Con

st. s

tess

rate

B-O

-3B

, KIc

= 0

.33

MPa

m0.

5

DC

B, t

runc

ated

dat

a

n =

40

2A

= 1.

97 x

1020

n =

24.6

A =

282

r2 = 0.

90

n =

50

32

A =

1.08

x 1

025

Single X'tal / Small Crack

Macro-crack

n =

40

2A

= 1.

09 x

103

r2 = 0

.94

n =

50

32

A =

9.98

x103

DT,

KIc

= 0

.33

MPa

m0.

5

Slo

w C

rack

Gro

wth

(DT,

DC

B, C

onst

ant S

tress

Rat

e in

Wat

er)

Mac

ro c

rack

dat

a an

d co

nsta

nt s

tress

rate

dat

a ag

ree

whe

n a

mac

o fra

ctur

e to

ughn

ess

is u

sed.

Shi

fted

mac

ro c

rack

cur

ve a

nd s

mal

l cra

ck c

urve

agr

ee.

Crac

k Ve

loci

ty,

m/s

Stre

ss In

tens

ity M

Pa√

m

±

±

±

±

Page 28: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

27

Slo

w C

rack

Gro

wth

(Par

amet

er S

umm

ary)

Like

ly v

alue

s ar

e n

= 40

, APo

ly=1

000,

Asi

ngle

= 10

20

6.5

x 10

34.

8 x

10-6

21 ±

64-

poin

t Sta

tic (2

8)M

cKin

ney

et a

l. A

ir

3.7

x 10

86.

2 x

10-3

26 ±

6D

CB

(11)

Frei

man

et a

l.

Air

1.46

x 1

01328

225

DC

B (9

), Tr

unca

ted

““

8.61

x 1

025.

0 x

10-3

12 ±

5D

CB

(21)

Frei

man

et a

l.

1.97

x 1

0201.

09 x

103

40 ±

2D

T (2

5)“

““

1.08

x 1

0259.

98 x

103

50 ±

32B

-O-3

B, D

yn. (

18)

““

5.05

x 1

0501.

11 x

1013

86D

T an

d D

CB

, Lin

eEv

ans a

nd Jo

hnso

n

A Sm

all

m/s

(MPa√m

)-n

Am

/s (M

Pa√m

)-n

n ±

SDn

Test

Met

hod

(num

ber o

f tes

ts)

Dat

a So

urce

Page 29: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

28

Cra

ck B

ranc

hing

Con

stan

t

Bra

nchi

ng c

onst

ant A

b=

1 ±

0.1

MP

a√m

, res

idua

l st

ress

= 9

MP

a.

r b-0.5, m

-0.5

1020

3040

5060

7080

Stress at Failure Location, MPa

1020304050607080

CV

D Z

nSe

Reg

ress

ion

2rb

σ f=

Abr

b + σ

th

Page 30: Mechanical and physical properties of ZnSe windows to be ...€¦ · Mechanical Properties of ZnSe for the FEANICS Module 1 Jon Salem NASA Glenn Research Center Cleveland, Ohio 2006

29

SU

MM

AR

Y

Bas

ed o

n 19

70’s

dat

a, th

e si

ngle

cry

stal

or s

mal

l cra

ck S

CG

pa

ram

eter

s fo

r CV

D Z

nSe

in w

ater

are

n<

40, a

nd A

sing

le>

1020

, K

Ic=

0.33

MPa

√m

.Th

e m

acro

-cra

ck p

aram

eter

s ar

e m

uch

diffe

rent

: 25

< n

< 80

and

A P

oly

= 10

3 , K

Ic>

0.60

MPa

√m

.S

treng

th is

~ 5

5 M

Pa

with

a W

eibu

ll m

odul

us o

f ~ 6

to 9

.S

mal

l cra

ck p

aram

eter

s es

timat

ed fo

r mac

ro-c

rack

dat

a ag

ree

reas

onab

ly w

ith p

aram

eter

s es

timat

ed fr

om s

treng

th d

ata.

But

, we

real

ly n

eed

a S

CG

mod

el th

at in

corp

orat

es R

-cur

ve

beha

vior

, and

obs

erva

tion

of a

ctua

l sm

all c

rack

gro

wth

rate

s.M

any

of th

e ex

istin

g da

ta s

ets

cont

ain

muc

h sc

atte

r and

too

few

da

ta p

oint

s.


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