Waves in Nonlinear Pre-Stressed Materials

The papers in this book provide a unique state-of-the-art multidisciplinary overview on the subject of waves in pre-stressed materials through the interaction of several topics, ranging from the mathematical modelling of incremental material response (ela

  • PDF / 5,134,949 Bytes
  • 287 Pages / 481.89 x 685.984 pts Page_size
  • 96 Downloads / 160 Views

DOWNLOAD

REPORT


SpringerWienNewYork

CISM COURSES AND LECTURES

Series Editors: The Rectors Giulio Maier - Milan Jean Salençon - Palaiseau Wilhelm Schneider - Wien

The Secretary General %HUQKDUG6FKUHÁHU3DGXD

Executive Editor 3DROR6HUDÀQL8GLQH

The series presents lecture notes, monographs, edited works and SURFHHGLQJVLQWKHÀHOGRI0HFKDQLFV(QJLQHHULQJ&RPSXWHU6FLHQFH and Applied Mathematics. 3XUSRVHRIWKHVHULHVLVWRPDNHNQRZQLQWKHLQWHUQDWLRQDOVFLHQWLÀF DQGWHFKQLFDOFRPPXQLW\UHVXOWVREWDLQHGLQVRPHRIWKHDFWLYLWLHV RUJDQL]HGE\&,60WKH,QWHUQDWLRQDO&HQWUHIRU0HFKDQLFDO6FLHQFHV

,17(51$7,21$/&(175()250(&+$1,&$/6&,(1&(6 &2856(6$1'/(&785(61R

:$9(6,1121/,1($5 35(675(66('0$7(5,$/6

(',7('%< 0,&+(/'(675$'( &1563$5,6)5$1&( *,86(33(6$&&20$1', 81,9(56,7  O@=J=  AK 9 HJGH=J GJL@G?GF9D L=FKGJ 9F<  9F<  9J= HGKALAN= =JJ=< LG J=KH=;LAN=DQ 9K L@= "$ 9F< $ #$"$ $#"# %F KH=;LJ9D >GJE  9F<  ;9F := GJ   GJE      O@=J=  AK L@= MFAL GMLO9J< FGJE9D LG    2= J=;9DD @=J= *9FKGFK >GJEMD9 ,GJ  JGL9LAGFK  9L 9FQ ?AN=F GJE9LAGF ?J9MF;LAGF G> L@= KLJ=L;@=K /@= ;GJJ=KHGF :Q ;GFLJ9KL ! AK LJ=9L=< 9K 9 >MF;LAGF G> L@= HJAF;AH9D AFN9JA9FLK      L@=F L@= 9M;@Q KLJ=KK AK ?AN=F :Q   !  ! ! ! 

   

 

        /@AK AK KGE=LAE=K J=>=JJ=< LG 9K L@= -ANDAF J=HJ=K=FL9LAGF *GL= L@9L >GJ 9F AKGLJGHA; E9L=JA9D O= @9N=        AK KQEE=LJA; 9F< O= @9N= L@= GJE G> 9FAKGLJGHQ AK L@9L 9KKG;A9L=< OAL@ 9 E9L=JA9D L@9L @9K 9 KAF?D= HJ=>=JJ=< =J=F;= ;GF?MJ9LAGF O@A;@ E9Q := 9KKG;A9L=< OAL@ :J= J=AF>GJ;=E=FL $=J= O= ADDMKLJ9L= L@= KLJM;LMJ= G> L@= KLJ9AF =F=J?Q >MF;LAGF G> 9F 9FAKGLJGHA; =D9KLA; KGDA< >GJ

8

R.W. Ogden

KM;@ 9 E9L=JA9D 9F< 9DKG >GJ L@= ;9K= G> 9 E9L=JA9D OAL@ LOG HJ=>=JJ=< L@= ;GJJ=KHGF  >GJ 9F AF;GEHJ=KKA:D= E9L=JA9D 9J= L@=F =9KADQ ;9D;MD9L=< 9K   -     !     !     ! ! 

  - ! !  

  - !    ! 

    





"GJ KAEHD= K@=9J L@= GJA=FL9LAGFK G> L@= HJAF;AH9D 9P=K G>  9F<  9J=  9F< GDDGOK L@9L

      !

     



/@= @GEG?=F=GMK GJE9LAGFK G> HMJ= KLJ9AF 9F< KAEHD= K@=9J E9Q 9DKG := ;GFKAGJ L@= 9FAKGLJGHA; E9L=JA9DK GJ 9F MF;GFKLJ9AF=< E9L=JA9D L@= 9KKG;A9L=< FGEAF9D KLJ=KK  AK 7   7   

O@A;@ HJGNAGJ GJE G> - /@AK =IM9LAGF AK ;GMHD=< OAL@ L@= AF;J=E=FL9D >GJE G> L@= AF;GEHJ=KKA:ADALQ ;GFKLJ9AFL  O@A;@ @9K L@= >GJE     LJ 



/@= ;GEHGF=FLK G> 9J= 9?9AF ?AN=F :Q  :ML FGO KM:B=;L LG L@= ;GFKLJ9AFL   

,"0$+$,2 * $/3(*(!0(3+ $/3 2(-,1

"JGE L@= =IMADA:JAME =IM9LAGF   9F< ALK ;GMFL=JH9JL >GJ  O= G:L9AF :Q MKAF?  AN    

O@A;@ L@= :GMF L@= MFGJ 9F AF;GEHJ=KKA:D= E9L=JA9D AK  37  -7   



%F L=F ;GFN=FA=FL LG MK= L@= GJE=< ;GF?MJ9LAGF 9K L@= J=>=J=F;= ;GF?MJ9LAGF AFKL=9< G> L@= AFALA9D ;GF?MJ9LAGF  9F< LG LJ=9L 9DD AF;J=E=FL9D IM9FLALA=K 9K >MF;LAGFK G> 6 AFKL=9< G>  "GJ L@AK HMJHGK= O= GJO9J< G>  EGLAN9L=< :Q L@= ;GFF=;LAGF