planteamiento del mef en problemas en varias dimensiones espaciales: conduccion del calor y...

7/30/2019 Planteamiento del MEF en problemas en varias dimensiones espaciales: conduccion del calor y elasticidad

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Jevcfcy Jkvejkvaicy fe Ey|eiaknafkf-

Ey|eiaknafkf fe IcmyvruiiacmIuryc ;2*;9

Vejk 9- \nkmvekjaemvc fen JEG em |rcbnejky em

wkraky fajemyacmey ey|kiakney? icmfuiiacm fen ikncr

q enkyvaiafkf

Nuay Ykmz Ncremzc

F|vc- Jkvejkvaiky E-V-Y-A- Amfuyvrakney. U\J

5 fe faiaejbre fe 2


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Nuay Ykmz En JEG em |rcbnejky icm wkraky fajemyacmey ey|kiakney

;- Amvrcfuiiacm

Em eyve ik|vunc ye kbcrfk nk k|naikiacm fen JEG k |rcbnejky em wkraky fajemyacmeyey|kiakney- Kum{ue nky afeky demerkney ycm k|naikbney k iukn{uaer |rcbnejk namekn. ye anuyvrkrkm

jefakmve fcy |rcbnejky fe drkm amverey em nk amdemaerk? en |rcbnejk fe nk vrkmyjayacm fe ikncr|cr icmfuiiacm. em en iukn nk amicdmavk ey nk vej|erkvurk (amicdmavk eyiknkr! q en |rcbnejkfe nk enkyvaiafkf (namekn! em R2 q R9 (amicdmavk weivcrakn!-

Nk vecrk fen JEG em ncy |rcbnejky em wkraky fajemyacmey ey|kiakney dukrfk umk drkmyajanavuf icm nc eyvufakfc em en ikyc umafajemyacmkn. |cr nc {ue knn fcmfe ye `k icmyaferkfcmeieykrac ye `kie regeremiak kn ik|vunc 2- Em eyve ik|vunc ye `krk emgkyay ycbre k{uenncyky|eivcy em ncy {ue en |rcbnejk junvafajemyacmkn faere fen umafajemyacmkn-

Em |krvaiunkr. kum{ue en |rcbnejk guerve ye |nkmvek em en ikyc demerkn. nk icmyvruiiacm fen|rcbnejk feban q nk |cyveracr k|naikiacm fen |rcbnejk fe Dknerham q fen JEG ye kbcrfkrk ycncen JEG em en ikyc eyvkiacmkrac. |uey nk epvemyacm k ncy |rcbnejky fe ewcnuiacm ye `kie fegcrjk kmkncdk k nk eyvufakfk em en ikyc umafajemyacmkn q ye |rc|cme em gcrjk fe eoeriaiacy-

Nk vecrk {ue ep|cmfrejcy ey k|naikbne vkmvc kn ikyc bafajemyacmkn icjc kn vrafajem*yacmkn- \cr umk iueyvacm fe icjcfafkf em nk |reyemvkiacm. kn `kbnkr fen jknnkfc q fe ncyenejemvcy mcy reyvramdarejcy kn ikyc bafajemyacmkn- Nk vecrk fe ncy enejemvcy bafajemyacm*kney. vkmvc vrakmduncy icjc iukfrankvercy. ye ep|cmfrk kn ik|vunc fefaikfc k nk amver|cnkiacmq nk k|rcpajkiacm-

2- Kndumcy |rcbnejky va|c icm wkraky wkrakbney ey|kiakney

Em eyvk yeiiacm ye |nkmvekm ncy |rcbnejky fe ewcnuiacm icrrey|cmfaemvey k nk vrkmyjayacmfen ikncr |cr icmfuiiacm q kn |rcbnejk demerkn fe nk enkyvaiafkf namekn-

9


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2-;- Icmfuiiacm fen ikncr em wkraky fajemyacmey ey|kiakney

\nkmvekjaemvc fen |rcbnejk

Yek um kbaervc kicvkfc feRm

. fcmfe m x;. 2. 9z. icm grcmverk I;

k vrczcy

Um icmoumvc icm grcmverk I; k vrczcy

Ye |uefe fejcyvrkr {ue nk eiukiacm {ue jcfenk nk vrkmyjayacm fen ikncr |cr icmfuiiacm em ey

v(iu(p. v!! fawp {(p. v! : g(p. v! 8 p . v < (;!

fcmfe?

u(p. v! ey nk vej|erkvurk. {ue yuene yer nk amicdmavk fen |rcbnejk-

g ey nk guemve fe ikncr |cr umafkf fe wcnujem q fe vaej|c emerdkwcn yed

ey nk femyafkf jkykwcn

i ikncr ey|eiic (k wcnujem icmyvkmve! emerdkvej|jkyk - Jafe nk emerdk fen jkverakn |crumafkf fe vej|erkvurk q fe jkyk-

{ ey en fluoc fe ikncr ( emerdkvaej|cyu| !

Nk eiukiacm (;! ye |uefe fefuiar k |krvar fen |ramia|ac fe icmyerwkiacm fe nk emerdk- Fe`ei`c. nk eiukiacm (;! mc ey jky {ue nk gcrjunkiacm em gcrjk fageremiakn fe fai`c |ramia|acfe icmyerwkiacm-

Eoeriaiac ;- Fefuiar {ue nk eiukiacm {ue jcfenk nk vrkmyjayacm fen ikncr |cr icmfuiiacm emum ycnafc Rm ey?

v(iu(p. v!! faw {(p. v! : g(p. v! 8 (p. v! (


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K nk eiukiacm (;! `kq {ue aj|cmerne icmfaiacmey fe grcmverk q icmfaiacmey amaiakney-Ycnc vemfrejcy em iuemvk icmfaiacmey fe grcmverk va|c Farai`nev q va|c Meujkmm- \krk enncyu|cmejcy {ue nk grcmverk fe ye fawafe em nk gcrjk : E M icm E q Mfayoumvky- Ky ye vaeme en |rcbnejk

v (iu(p. v!! fawp {(p. v! : g(p. v! 8 p . v < (2!

u(p. v! : d(p. v! 8 p E. v

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