DETERMINATION OF THERMAL STRESSES OF A THREE DIMENSIONAL TRANSIENT THERMOELASTIC PROBLEM OF A SQUARE PLATE

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1 DRMINAION OF HRMAL SRSSS OF A HR DIMNSIONAL RANSIN HRMOLASIC PROBLM OF A SQUAR PLA Wrs K. D Dpr o Mics Sr Sivji Co Rjr Mrsr Idi *Aor or Corrspodc ABSRAC prs ppr ds wi driio o prr disribio ow prr poi o sqr p rosic dispc cio dispc copos d r srsss o sqr p occpi spc D : wi ow bodr codiios b ppi ii Forir rsor Forir co rsor d Lpc rsor ciqs. Nric ccios r crrid o or pricr cs o sqr p d o coppr pr b si sib vs o prrs d cios i qios d rss r dpicd rpic. Kwords: Usd S ro sic Prob r Srsss Forir Si rsor Forir Co rsor Lpc rsor INRODUCION iw d Kosbr 997 Vi. 99 d Ads d Br 999 v sdid dirc prob o rosici i rcr p dr r soc. Kobrd d Wd 3 v sdid ivrs sd s rosic prob o dri prr dispc cio d r srsss bodr o i rcr p. v sd ii Forir rsor ciq. D d Kobrd 9 v sdid r disio ivrs sd-s rosic prob o i rcr p. Lb d Kobrd v sdid rosic prob o i rcr p d o pri disribd spp. v sd Mrci Fso rsor d Lpc rsor ciq. I prs ppr p is d o dri prr disribio ow prr poi o sqr p rosic dispc cio dispc copos d r srsss o sqr p occpi spc D : wi ow bodr codiios b ppi ii Forir rsor d Forir co rsor d Lpc rsor ciqs. Nric ccios r crrid o or pricr cs o sqr p d o coppr pr b si sib vs o prrs d cios i qios d rss r dpicd rpic. S o prob Cosidr sqr p occpi spc D :. dispc copos d i X Y Z dircio rspciv r i ir or s d d d 3 Wr d r Yo s ods Poiso s rio d ir coici o r psio o ri o p rspciv is Air s srss cio wic sisis diri qio Copri 4 Cr or Io Bio coo CIBc 34

2 Copri 4 Cr or Io Bio coo CIBc 35 4 Wr dos prr o sqr p si oowi diri qio. 5 Wr is r disivi o ri. iii codiio is 6 bodr codiios r 7 9 irior codiio 3 srsss copos i rs r iv b qios o 6 cosi ic orio o prob dr cosidrio. Soio o prob Appi Forir rsor ovr o qio 5 7d. Appi Forir Co rsor ovr vribs o qios 9 i Lpc rsor d ir ivrss o obis prssio or prr d ow prr rdi s d d 7

3 Copri 4 Cr or Io Bio coo CIBc 36 d d Driio o rosic dispc cio: Sbsii vs o ro qio 7 i qio 4 o obis d U d 9 Driios o dispc copos Sbsii vs 9 i qio o 3 o obis d d d d Driio o srss cio: Sbsii vs o 9 i qios 4 o 6 o obis d

4 Copri 4 Cr or Io Bio coo CIBc 37 d 3 d d 4 d d 5 Spci cs d ric rss d discssio: Si 3 3 I qio 7 d o obis

5 7 Disios o sqr p L brd o sqr p = icss o sqr p =.5.5 o irpr ric copios w cosidr ri propris o coppr pr sqr p wi ri propris. Poisso rio =.35 r psio coici c/c- C = r disivi c /sc =.34-6 Yos Mods. =GP DISCUSSION Fir : Grp o vrss or dir vs Fir : Grp o vrss or dir vs Fir : Rprss rps o vrss or dir vs o.i is obsrvd dvops si srss ro o. 5 d coprssiv srsss i rio. 5 o i sqr rio or dir vs o. Fir : Rprss rps o vrss or dir vs o.i is obsrvd os o dcr ro = o = d is ro poi = i sqr rio or dir vs o. Copri 4 Cr or Io Bio coo CIBc 3

6 Fir 3: Grp o vrss or dir vs Fir 4 : Grp o U vrss or dir vs Fir 3: Rprss rps o vrss or dir vs o.i is obsrvd prr pproi ro ro = o =.. Aso dvops si srss ro. o. 5 d coprssiv srsss ro. 5o. 4 d is ro ro =.4 o.5 i sqr rio. Fir 4: Rprss rps o U vrss or dir vs o.i is obsrvd U dvops si srss ro. 5o d coprssiv srsss i rio o. 5 i sqr rio or dir vs o. Fir 5: Grp o vrss or dir vs Fir 6: Grp o σ vrss or dir vs Fir 5: Rprss rps o vrss or dir vs o.i is obsrvd is pproi ro or rio o. 5. i os o dcr ro. 5 o r is is os o icr ro = o = i sqr rio or dir vs o. Fir 6: Rprss rps o vrss or dir vs o.i is obsrvd is os o icr ro = o = I is s s i v or = d ro = o =.5 is os o dcr. Fro o =.5 o = i is pproi ro i sqr rio or dir vs o. Cocsio I is sd w rd r disio sd s rosic prob o sqr p wi sd bodr codiios. Udr s codiio prr disribio ow prr poi o sqr p rosic dispc U dispc copos i X Y Z s rspciv d r srsss v b drid wi p o ii Forir Si rsor Forir Co rsor d Lpc rsor ciqs. A pricr cs c b drivd b si sib vs o prrs d cios i prssios.w cocd ss o qios proposd i is sd c b dopd o d o s srcrs or cis i iri ppicio i driio o rosic bvior d isrd rpic. ACKNOWLDGMN or is o pro. Ad Ripr or id p d idc i prprio o is ppr. Copri 4 Cr or Io Bio coo CIBc 39

7 RFRNCS Ads RJ d Bs CW 999. rosic vibrios o id rcr p sbjcd o r soc. Jor o r Srsss D WK d Kobrd NW 9. r disio ivrs sd-s rosic prob o i rcr p. Bi o Cc Mic Soci Kobrd NW d Wd PC 3. A ivrs sd s rosic prob o i rcr p. Bi o Cc Mic Soci Kobrd NW d Lb NK. rosic prob o i rcr p d o pri disribd spp. Irio Jor o Appid Mics d Mcics 5. iw Y d Kosbr Y 997. r srss sis o rcr p d is r srss isi cor or coprssiv srss id. Jor o r Srsss 57 Vi VM Yv MY d Ysij AV 99. soio o p rosici prob or Rcr doi. Jor o r Srsss Copri 4 Cr or Io Bio coo CIBc 4

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