Approaches to simulate impact damages on aeronautical composite structures

an author's _{http://oatao.univ-toulouse.fr/22795}

https://www.sciencedirect.com/science/article/pii/S1877050918313541

Masmoudi, Maroua and Ben Abdallah Lamine, Sana and Zghal Baazaoui, Hajer and Karray, Mohamed Hedi and Archimède, Bernard An ontology-based monitoring system for multi-source environmental observations. (2018) In: 22nd International conference on knowledge based and intelligent information and engineering systems (KES2018), 3 September 2018 - 5 September 2018 (Belgrade, Serbia).

$SSURDFKHVWR6LPXODWH,PSDFW'DPDJHVRQ$HURQDXWLFDO

&RPSRVLWH6WUXFWXUHV



53/(0$1/(6$1*$

D

_&*$51,(5

E

_{DQG23$17$/e}

F

_

1_{INP de Toulouse, ENI de Tarbes, Laboratoire Génie de Production, Université de Toulouse, avenue d’Azereix, B.P.}

1629, 65016 Tarbes, France



D_{[email protected]FRUUHVSRQGLQJDXWKRU}

E_{[email protected]} F_{[email protected]}

$EVWUDFW ,PSDFW GDPDJH LV RQH RI WKH PRVW FULWLFDO DJJUHVVLRQV IRU FRPSRVLWH VWUXFWXUHV LQ DHURQDXWLFDO DSSOLFDWLRQV

&RQVHTXHQFHVRIDKLJKORZYHORFLW\DQGKLJKORZHQHUJ\LPSDFWVDUHYHU\LPSRUWDQWWRLQYHVWLJDWH,WLVXVXDOO\DGPLWWHG WKDW WKH PRVW FULWLFDO FRQILJXUDWLRQ LV WKH %DUHO\ 9LVLEOH ,PSDFW 'DPDJH %9,' ZLWK LPSDFW HQHUJ\ RI DERXW  - ZKHUH VRPH LQWHUQDO GDPDJHV LQYLVLEOH RQ WKH LPSDFWHG VXUIDFH RI WKH VSHFLPHQ GUDVWLFDOO\ UHGXFH WKH UHVLGXDO SURSHUWLHVRIWKHLPSDFWHGPDWHULDO,QWKLVZRUNZHKLJKOLJKWE\WKHILQLWHHOHPHQWVLPXODWLRQWKHGDPDJHLQLWLDWLRQDQG SURSDJDWLRQSURFHVVDQGWKHVL]HRIWKHGHIDXOWVFUHDWHGE\ORZYHORFLW\LPSDFW7ZRDSSURDFKHVZHUHGHYHORSHGWKHILUVW RQH LV WKH OD\XS WHFKQLF DQG WKH VHFRQG RQH LV EDVHG RQ WKH FRKHVLYH HOHPHQW WHFKQLF %RWK WHFKQLFV VKRZ WKH SOLHV GDPDJHV E\ WKH +DVKLQ¶V FULWHULD 0RUHRYHU WKH VHFRQG RQH JLYHV WKH GHODPLQDWLRQ GDPDJHV ZLWK UHJDUGV WR WKH %HQ]HJJDK.HQDQHFULWHULD7KHYDOLGDWLRQRIWKHVHPRGHOVLVGRQHE\FRQIURQWDWLRQZLWKVRPHH[SHULPHQWDOUHVXOWV

,1752'8&7,21

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6RPHUHFHQW VWXGLHVXVLQJVLPLODUDSSURDFKHVKDYHDOUHDG\EHHQGRQHSXEOLVKHG>@:LWKLQWKLVILHOGRILQYHVWLJDWLRQWKHUHDUH WZRPDLQDSSURDFKHV

x 7KH /D\XS DSSURDFK JLYLQJ WKH JOREDO EHKDYLRU RI WKH VWUXFWXUH DQG WKH GDPDJHV ZLWKLQ WKH SOLHV RI WKH FRPSRVLWHPDWHULDO7KHOLPLWRIWKLVWHFKQLFLVWKDWLWLVQRWSRVVLEOHWRFRPSXWHGDPDJHDORQJWKHWKLFNQHVV GLUHFWLRQRIWKHFRPSRVLWH x 7KHFRKHVLYH]RQHDSSURDFKJLYLQJWKHGDPDJHVZLWKLQWKHSOLHVDORQJWKHWKLFNQHVVGLUHFWLRQDQGZLWKLQ WKHLQWHUIDFLDO]RQHEHWZHHQSOLHV7KHUHLVWZRZD\VWRLPSOHPHQWVXFKDQDSSURDFKWKHFRKHVLYHHOHPHQW WHFKQLFDQGWKHFRKHVLYHVXUIDFHWHFKQLF ,QRXUDSSURDFKZHKDYHXVHGWKHVHWKUHHGLIIHUHQWDSSURDFKHVDQGKDYHFRPSDUHGWKHLUUHVXOWVHDFKRWKHUDQG ZLWKVRPHH[SHULPHQWDOUHVXOWV

 (;3(5,0(17$/$3352$&+2)7+(%9,',03$&7

 6SHFLPHQVXVHGLQH[SHULPHQWDOWHVWV

6SHFLPHQVXVHGLQWKLVVWXG\DUHPDGHIURPWKHFRPSRVLWHHSR[\570UHLQIRUFHGE\FDUERQ*DQGKDYH EHHQSURGXFHGE\WKHOLTXLGUHVLQLQIXVLRQSURFHVVDVUHSRUWHGLQ)LJ7KHOD\XSVSHFLPHQLV DQGWKH SODWH¶VVL]HLV \ T 0HFKDQLFDOSURSHUWLHVRIWKHFRPSRVLWHDUHJLYHQLQ7DE    D E ),*85(0DQXIDFWXULQJRIFRPSRVLWHVSHFLPHQEHIRUHDDQGDIWHUEWKHUHVLQLQIXVLRQ  7$%/(0HFKDQLFDOSURSHUWLHVRIWKHVSHFLPHQ  <RXQJPRGXOXV _{  } 6KHDUPRGXOXV _{  } 3RLVVRQUDWLR _{  } 

 ([SHULPHQWDOGHYLFHIRULPSDFWWHVWV

7KHLPSDFWWHVWVZHUHGRQHZLWKD 0770DWHULDO7HVWLQJ7HFKQRORJ\GURSZHLJKWPDFKLQHDVLOOXVWUDWHGLQ )LJLQFRQIRUPLW\ZLWKWKH6WDQGDUG$670'7KLVGHYLFHKDVDQLPSDFWRUZLWKDPDVVRINJDQGDKDOI VSKHUHVKDSHZLWKDUDGLXVRI5 PP7KHLPSDFWHQHUJ\RI-LVREWDLQHGE\GURSSLQJWKHLPSDFWRUIURPD WRWDOKHLJKWRIK PZKLFKFRQIHUVWRWKHLPSDFWRUDQLPSDFWLQJVSHHGRIPV 

 ),*85(077GURSZHLJKWPDFKLQH

 $QDO\VLVRIWKHVSHFLPHQVDIWHULPSDFW

7KHLQWHUQDOGDPDJHLVHYDOXDWHGXVLQJDQLQIUDUHGWKHUPRJUDSKLFFDPHUD7KHVSHFLPHQLVKHDWHGIRUVDQGD VPRYLHLVUHFRUGHGZLWKDIUDPHUDWHRI+]7KHSUHVHQFHRIWKHGHIHFWDSSHDUVGXULQJKHDWLQJDQGFRROLQJ WLPHDQGWKHRXWSXWRIWKLVSURFHGXUHLVWKHSURMHFWLRQRIWKHLQWHUQDOGHIDXOWRQD'SODQHDVLOOXVWUDWHGLQ)LJ 7KHPHDVXUHGVXUIDFHRIWKHGHIHFWKDVEHHQHYDOXDWHGWR   D E ),*85(,PSDFWGDPDJHYLVXDOL]DWLRQE\[UD\WRPRJUDSK\DDQGLQIUDUHGFDPHUDE

 180(5,&$/6,08/$7,212)7+(%9,'21&20326,7(

:HKDYHGHYHORSHGWKUHHGLIIHUHQWDSSURDFKHVWKHILUVWRQHLVEDVHGRQWKHOD\XSWHFKQLFDQGWZRRWKHURQHVDUH EDVHGRQWKHFRKHVLYH]RQHWHFKQLF7KHVHWKUHHDSSURDFKHVKDYHEHHQXVHGZLWKLQWKHIUDPHZRUNRIWKH$EDTXV ([SOLFLWILQLWHHOHPHQWFRGH>@

 7KHOD\XSDSSURDFK

,QWKLVILUVWDSSURDFKWKHFRPSRVLWHVWUXFWXUHLVPRGHOHGE\WKH65FRQYHQWLRQDOVKHOOILQLWHHOHPHQW7KLVRQH LVDQRGHVTXDGULODWHUDOFRQYHQWLRQDOVKHOOHOHPHQWZLWKDUHGXFHGLQWHJUDWLRQVFKHPH7KH+DVKLQ>@FULWHULDDUH XVHGKHUHWRVLPXODWHWKHLQLWLDWLRQRIGDPDJHV )LEHUWHQVLRQ

V

Ö

_

t



    

Ö

Ö

¸

¹

·

¨

©

§



¸

¹

·

¨

©

§

l t t f

_X

_S

F

V

D

V

  )LEHUFRPSUHVVLRQ

V

Ö

_

d



  

Ö

¸

¹

·

¨

©

§

c c f

X

F

V

 

0DWUL[WHQVLRQ

V

Ö

_

t



    

Ö

Ö

¸

¹

·

¨

©

§



¸

¹

·

¨

©

§

l t t m

S

Y

F

V

V

  0DWUL[FRPSUHVVLRQ

V

Ö

_

d



      

_

Ö



Ö



Ö

¸

¹

·

¨

©

§



»

»

¼

º

«

«

¬

ª



¸¸

¹

·

¨¨

©

§



¸

¹

·

¨

©

§

l t c c t c m

S

S

Y

Y

S

F

V

V

V

  ZKHUHH[SRQHQWVW_DQGF_{GHQRWHWUDFWLRQDQGFRPSUHVVLRQUHVSHFWLYHO\DQGLQGLFHV} IDQGPDUHXVHGWRUHIHUWR ILEHUDQGPDWULFHUHVSHFWLYHO\<W_DQG<F_{DUHWKHWHQVLOHDQGFRPSUHVVLYHVWUHQJWKVLQWKHWUDQVYHUVHGLUHFWLRQ6}O_DQG

6W_{ DUH WKH ORQJLWXGLQDO DQG WUDQVYHUVH VKHDU VWUHQJWKV UHVSHFWLYHO\ DQG Į LV D FRHIILFLHQW WKDW GHWHUPLQHV WKH}

FRQWULEXWLRQRIWKHVKHDUVWUHVVWRWKHILEHUWHQVLOHLQLWLDWLRQFULWHULRQ7KLVODWHUFDQEHXVHGWRVHOHFWWKH+DVKLQ>@ PRGHO ZKHUHĮ  RU WKH+DVKLQ DQG 5RWHP >@ PRGHO ZKHUH Į DQG  7KH FRPSRQHQWVRI WKH HIIHFWLYHVWUHVVWHQVRU WKHVWUHVVLQWKHILEHUGLUHFWLRQ VWUHVVLQWKHWUDQVYHUVHWRWKHILEHUGLUHFWLRQ DQG LQSODQHVKHDUILEHUGLUHFWLRQDUHHYDOXDWHGWKURXJKWKHIROORZLQJUHODWLRQ

V

V

» » » » » » » ¼ º « « « « « « « ¬ ª    s m f d d d             Ö   ZKHUHıLVWKHWUXHVWUHVVDQGdfdmDQGdsDUHLQWHUQDOGDPDJHYDULDEOHVWKDWFKDUDFWHUL]HILEHUPDWUL[DQGVKHDU GDPDJHVGHILQHGIURPWKHIRXUGDPDJHYDULDEOHV

d

t_f



d

c_f



d

_mt



d

_mcE\WKHIROORZLQJUHODWLRQV

°¯

°

®

­

d

t



Ö



LI





Ö



LI



 

V

V

c f t f f

_d

d

d

 

¯

®

­

d

t



Ö



LI





Ö



LI



 

V

V

c m t m m

d

d

d

 





















c m t m c f t f s

d

d

d

d

d











  $WWKHEHJLQQLQJRIWKHFRPSXWDWLRQZHDVVXPHWKHIROORZLQJLQLWLDOFRQGLWLRQ



c m t m c f t f

d

d

d

d

   7DEJLYHVWKHGLIIHUHQWSDUDPHWHUVGHILQLQJWKH+DVKLQFULWHULRQ  7$%/('DPDJHSURSHUWLHVRIWKHVSHFLPHQ  >ĂďĞů sĂƌŝĂďůĞ ^ƚƌĞƐƐ;DWĂͿ dĞŶƐŝŽŶ

_X

t

_Y

t  ϳϴϱ ŽŵƉƌĞƐƐŝŽŶ

_X

c

_Y

c  ϲϭϮ >ŽŶŐŝƚƵĚŝŶĂůƐŚĞĂƌ

_S

l  ϳϬ dƌĂŶƐǀĞƌƐĂůƐŚĞĂƌ

_S

t  ϱϱ 

 &RKHVLYH]RQHDSSURDFK

,QWKH$EDTXVILQLWHHOHPHQWFRGHWKHUHLVWZRZD\VWRPRGHOL]HWKHFRKHVLYH]RQH 

x 7KHILUVWRQHLVWKHFRKHVLYHHOHPHQWDSSURDFK,QWKLVFDVHDOOWKHSOLHVDUHPHVKHGDQGOLQNHGRQHE\RQH ZLWK]HURWKLFNQHVVFRKHVLYHSOLHVJLYLQJDWRWDORISOLHV7KHFRPSRVLWHSOLHVDUHPHVKHGRQ$EDTXV E\ 6&5 FRQWLQXXP VKHOO HOHPHQWV DQG WKH FRKHVLYHSOLHV DUH PHVKHGXVLQJ &2+' HOHPHQWV IURP WKH VWDQGDUGHOHPHQWOLEUDU\7KHFRKHVLYHSURSHUWLHVDUHDVVLJQHGWRWKHFRKHVLYHHOHPHQWVLQWKH³3URSHUW\´ PRGXOHRIWKH$EDTXVVRIWZDUH

x 7KH VHFRQG RQH UHIHUUHG DV FRKHVLYH VXUIDFH FRQVLVWV ZLWK WKH GHILQLWLRQ DQG WKH DSSOLFDWLRQ RI VRPH FRKHVLYHSURSHUWLHV EHWZHHQ WKHSOLHV LQ FRQWDFW )RU WKH$EDTXV VRIWZDUH WKLV DVVLJQDWLRQ LVGRQH LQ WKH ³,QWHUDFWLRQ´PRGXOH

7KH IROORZLQJ HTXDWLRQV GHILQH WKH WUDFWLRQ VHSDUDWLRQ IRUPXODWLRQ ZLWK TXDGUDWLF VWUHVV DQG WKH %HQVHJJDJK .HQDQH>@FULWHULRQWKDWZHUHXVHGWRPRGHOL]HWKHLQLWLDWLRQDQGWKHSURSDJDWLRQRIGDPDJHZLWKLQWKHFRKHVLYH ]RQH$OOWKHXVHIXOYDOXHVDUHUHSRUWHGLQ7DE  



 PD[  PD[  PD[

¸¸

¹

·

¨¨

©

§



¸¸

¹

·

¨¨

©

§



¸¸

¹

·

¨¨

©

§

S

T

N

s t n

V

V

V

  





c n t s t s c n c s c n

G

G

G

G

G

G

G

G

G

_¸¸

¹

·

¨¨

©

§











K   :KHUH

V

_n



V

_n



V

_n







  7$%/(&RKHVLYH¶VPHFKDQLFDODQGGDPDJHSURSHUWLHV  >ĂďĞů sĂƌŝĂďůĞ sĂůƵĞ KƵƚŽĨƉůĂŶĞƌŝŐŝĚŝƚLJ nn

K

 ϭϮϮϲϱDƉĂ ^ŚĞĂƌƌŝŐŝĚŝƚLJ tt ss

K

K 

 ϰϱϯϬDWĂ ĞŶƐŝƚLJ Ě ϭ͘ϯ KƵƚŽĨƉůĂŶĞƚĞŶƐŝŽŶƌĞƐŝƐƚĂŶĐĞ  ϳϱDWĂ ^ŚĞĂƌƌĞƐŝƐƚĂŶĐĞ  ϱϬDWĂ DŽĚĞ/ĨĂŝůƵƌĞĞŶĞƌŐLJ c n

G

 ϴϬϬ 



m



J

_ DŽĚĞ//ĨĂŝůƵƌĞĞŶĞƌŐLJ c t

G

 ϭϲϬϬ 



_m



J

_ ĞŶnjĞŐŐĂŐŚͲ<ĞŶĂŶĞĐŽĞĨĨŝĐŝĞŶƚ

K

_ ϭ͘ϯ dĞŶƐŝŽŶĨĂŝůƵƌĞĞŶĞƌŐLJ t m t f

G

G 

 ϰϴϮϬ 



m



J

_ ŽŵƉƌĞƐƐŝŽŶĨĂŝůƵƌĞĞŶĞƌŐLJ c m c f

G

G 

 ϮϵϯϬ 



m



J

_ 

 1XPHULFDOVLPXODWLRQUHVXOWV

2-3-1- The layup approach

x $VVHPEOHGDQGPHVKHGSDUWVLQVWDQFHVDUH 

   D E ),*85($VVHPEOHGDDQGPHVKHGESDUWLQVWDQFHV    7KHGLVSODFHPHQWVZHUHUHVWULFWHGE\WDNLQJWKHSLQHGERXQGDU\FRQGLWLRQ IRUDOOQRGHV ORFDWHG DORQJ WKH ODWHUDO HGJHV RI WKH VSHFLPHQ LQ FRQWDFW ZLWK WKHIL[WXUH EDVHRI WKHGURS ZHLJKW PDFKLQH 7KH LPSDFWRULVPRGHOL]HGDVDQDQDO\WLFDOULJLGKDOIKHPLVSKHULFDOVKHOOZLWKDUDGLXVHTXDOWR J DQGDVVRFLDWHG ZLWKDWRWDOPDVVRI    x 7KH+DVKLQGDPDJHVDUHJLYHQLQ)LJJ J J   D E ),*85(7KHPDWUL[+DVKLQGDPDJHD'DPDJHGHOHPHQWVUHPRYHGE  

)LJ  VKRZV WKH ILQDO PDWUL[ LQ WUDFWLRQ GDPDJH ZLWK WKH +DVKLQ FULWHULRQ 7KH GDPDJH DUHD LV HTXDO WR  



 _ D E ),*85((QHUJLHVDDQG7RWDOFRQWDFWIRUFHE  (QHUJLHVZHUHSORWWHGGXULQJWKHLPSDFWVLPXODWLRQ$QGZHREVHUYHWKDWWKHWRWDOHQHUJ\UHPDLQVFRQVWDQW:H DOVRREVHUYHWKDWWKHDUWLILFLDO+RXUJODVVHQHUJ\LVYHU\ORZDWWKHHQGRIWKHVLPXODWLRQ)LQDOO\ZHREVHUYHWKDWWKH PD[LPXP GHIOHFWLRQ WKH PD[LPXP FRQWDFW IRUFH WKH PD[LPXP GDPDJH DQG VWUDLQ HQHUJ\ DUH REWDLQHG IRU WLPH

 2-3-2- Cohesive approach x 7KHSOLHVDQGWKHPHVKHGOD\HUVDUHJLYHQE\ $VSUHVHQWHGHDUOLHUIRUWKHOD\XSDSSURDFKWKHVDPHERXQGDU\FRQGLWLRQVZHUHXVHGIRUWKHQRGHVORFDWHGRQWKH ODWHUDOHGJHVLQFRQWDFWZLWKWKHIL[WXUHEDVHRIWKHGURSZHLJKWPDFKLQH    D E ),*85($VVHPEOHGDDQGPHVKHGESDUWVLQVWDQFHV 



&RKHVLYHHOHPHQWUHVXOWVDUHJLYHQLQWKHIROORZLQJILJXUHV



x +DVKLQ¶VGDPDJHVDUHJLYHQE\

  D E ),*85(7KHPDWUL[+DVKLQGDPDJHRQSOLHVD'DPDJHGHOHPHQWVUHPRYHGE  x ,QWHUIDFH¶VGDPDJHVDUHJLYHQE\J J \  D E ),*85('HODPLQDWLRQGDPDJHRQLQWHUIDFHVD'DPDJHGHOHPHQWVUHPRYHE 

7KH WRWDO PDWUL[ WUDFWLRQ GDPDJH EDVHG RQ WKH +DVKLQ FULWHULRQ UHSUHVHQWV DQ DUHD RI  ZKLOH WKH GHODPLQDWLRQ GDPDJH UHSUHVHQWV DQ DUHD RII  7KH WRWDO GDPDJHG DUHD LV WKH VXSHUSRVLWLRQ RI WKH WZR SUHYLRXVO\GHILQHGDUHDV$IWHUDQRUWKRJRQDOSURMHFWLRQZHFDQVHHWKDWWKHPDWUL[GDPDJHDUHDLVLQFOXGHGLQWKH GHODPLQDWLRQGDPDJHDUHD6RZHFDQFRQFOXGHWKDWWKHWRWDOGDPDJHGDUHDJLYHQE\WKHFRKHVLYHHOHPHQWDSSURDFK LV   x 7KH(QHUJLHVDQGFRQWDFWIRUFHDUH   D E ),*85((QHUJLHVDDQG7RWDOFRQWDFWIRUFHE

   )LJVKRZVWKHHYROXWLRQRIWKHHQHUJLHVGXULQJWKHLPSDFWSKDVH$VSUHVHQWHGHDUOLHUDJDLQWKHKRXUJODVV HQHUJ\UHPDLQYHU\ORZGXULQJVLPXODWLRQ   &RKHVLYHVXUIDFHUHVXOWDUHJLYHQLQWKHIROORZLQJILJXUHV x +DVKLQ¶VGDPDJHVDUHJLYHQE\J J \   D E ),*85(7KHPDWUL[+DVKLQGDPDJHRQSOLHVD'DPDJHGHOHPHQWVUHPRYHE  x ,QWHUIDFH¶VGDPDJHVDUHJ   D E ),*85('HODPLQDWLRQGDPDJHRQLQWHUIDFHVD'DPDJHGHOHPHQWVUHPRYHGE   x (QHUJLHVDQGWRWDOFRQWDFWIRUFHDUH

 

D E

),*85((QHUJLHVDDQG7RWDOFRQWDFWIRUFHE 

$VLQWKHFRKHVLYHHOHPHQWHYDOXDWLRQDSSURDFKZHPHDVXUHGDWRWDOGDPDJHDUHDRIPP_{IRUWKHFRKHVLYH}

VXUIDFH WHFKQLF 7KH LQWHUQDO HQHUJ\ RI WKH FRKHVLYH VXUIDFH LV YHU\ ORZHU WKDQ WKH RQH RI WKH FRKHVLYH HOHPHQW DSSURDFKGXHWRWKHHQHUJ\DEVRUEHGDVSHQDOW\ZRUNFRQWDFW



 $QDO\VLVDQGGLVFXVVLRQ

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Š &RUHŒL04&38#*+]îRQ8EXQWX     7$%/(7LPHGXUDWLRQ  DŽĚĞůĂƉƉƌŽĂĐŚƚLJƉĞ dŝŵĞĚƵƌĂƚŝŽŶ;ƐͿ >ĂLJƵƉ ϳϴϯ ŽŚĞƐŝǀĞĞůĞŵĞŶƚ ϴϰϭϰ ŽŚĞƐŝǀĞƐƵƌĨĂĐĞ ϮϮϭϭϴ  

&21&/86,21$1'3(563(&7,9(6

,QWKLVVWXG\ZHGHYHORSHGVRPHPRGHOVWRVLPXODWHWKH%9,'RQDFRPSRVLWHVXEMHFWHGWRDORZYHORFLW\DQG ORZHQHUJ\LPSDFW7KHILQLWHHOHPHQWPRGHOVZHSURSRVHGLQWKLVSDSHUDUHEDVHGRQGLIIHUHQWDSSURDFKHVWKH OD\XS WKH FRKHVLYH HOHPHQWV DQG WKH FRKHVLYH VXUIDFHV 7KH YDOLGDWLRQ RI WKHVH PRGHOV ZDV GRQH E\ FRPSDULVRQ ZLWK VRPH H[SHULPHQWDO UHVXOWV 7KH OD\XSDSSURDFKLV DVWUXFWXUDO PRGHO HDV\ WR LPSOHPHQW ZKLOH WKH FRKHVLYH

DSSURDFKHVDUHPRUHUHDOLVWLFDQGPRUHGLIILFXOWWRLPSOHPHQW7KH\DOVRLQYROYHPXFKPRUHFRPSXWDWLRQDOWLPHWR FRPSOHWH)XUWKHUZRUNVFRQFHUQWKHHYDOXDWLRQRIWKHUHVLGXDOVWUHQJWKRIWKHGDPDJHGFRPSRVLWHSODWHVE\VRPH FRPSUHVVLRQDIWHULPSDFWH[SHULPHQWV:HDOVRZDQWWRGHYHORSVRPHQXPHULFDOPRGHOVWRLQYHVWLJDWHWKHGDPDJHV FUHDWHGE\KLJKYHORFLW\DQGKLJKHQHUJ\LPSDFWV7KHILQDODLPLVWRFRPSDUHWKHVHGDPDJHVRQDSDQHORIGLIIHUHQW HQHUJLHVDQGFRPSOHWHRXUNQRZOHGJHDERXWG\QDPLFUHVSRQVHRIFRPSRVLWHVWUXFWXUHV

5()(5(1&(

 )&DSXWR*/DPDQQD$'H/XFD9/RSUHVWRNumerical simulation of LVI test onto composite plates$,3 &RQI3URFSS±

 */DPDQQD56HSH$3R]]LTensile testing of hybrid composite joints$SSO0HFK0DWHUSS ±

 = 6KDULI.KRGDHL 0 *KDMDUL 0+ $OLDEDGL Determination of impact location on composite stiffened

panels6PDUW0DWHU6WUXFW

 $6.DGGRXU0-+LQWRQ3$6PLWKDQG6/LA comparison between the predictive capability of matrix

cracking, damage and failure criteria for fibre reinforced composite laminates: Part a of the third world-wide failure exercise-RXUQDORI&RPSRVLWH0DWHULDOVSS±

 6$EUDWHImpact on laminated composite materials$SSOLHG0HFKDQLFV5HYLHZV±

 3&KDL*%DQG0DQLNDQGDQ Low velocity impact response of fibre-metal laminates–a review&RPSRVLWH

6WUXFWXUHVSS±

 /HPDQOH6DQJD53*DUQLHU&DQG3DQWDOp2Finite Element Simulation of Low Velocity Impact Damage

on an Aeronautical Carbon Composite Structure$SSO&RPSRV0DWHUSS

 ) &DSXWR 'H /XFD 5 6HSH 1XPHULFDO VWXG\ RI WKH VWUXFWXUDO EHKDYLRXU RI LPSDFWHG FRPSRVLWH ODPLQDWHV VXEMHFWHGWRFRPSUHVVLRQORDG&RPSRVLWHV3DUW%(QJLQHHULQJSS±

 6-lJHU$3LFNHWWDQG30LGGHQGRUIA discrete model for simulation of composites plate impact

including coupled intra- and inter-ply failure.$SSOLHG&RPSRVLWH0DWHULDOV  '66LPXOLD7KH$EDTXVYGRFXPHQWDWLRQFROOHFWLRQ

 = +DVKLQ Failure criteria for unidirectional fiber composites-RXUQDO RI DSSOLHG PHFKDQLF  SS±

 =+DVKLQDQG$5RWHPA fatigue criterion for fiber-reinforced materials-RXUQDORI&RPSRVLWH0DWHULDOV SS±

 0/ %HQ]HJJDJK DQG 0 .HQDQH Measurement of mixed-mode delamination fracture toughness of

unidirectional glass/epoxy composites with mixed-mode bending apparatus &RPSRVLWH 6FLHQFH DQG

7HFKQRORJ\SS±