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Fiches Mecanique des milieux continues L3

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1 fiche avec les essentiels du cour de mecanique des milieux continues du premier semestre de L3 physique - tenseur des deformation -poutre en flexion -vecteurs -champ de deplacement statique

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Uploaded on
February 23, 2022
Number of pages
1
Written in
2021/2022
Type
Class notes
Professor(s)
Thomas frisch
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Mécanique des milieux continue


tenseur des déformation déformation biaxiale :( IL )
"
ça
Mort déformation cisaillement (%)

ztzw.t #
uiztzwie

{
Ma
e. =


HEE direction principale de déformant :
went wa % w ,
z vecteurs propres dont les amplitudes
2
sont les valeurs propres
Oui =

eij +
Wij
d ↳ Vettius propres F. KO

INÈS finit ziguai -7¥ ) :




parti anti -




symétrique vecteur traction
partie symétrique rotation
déformation E- 57J
T ← composante normale

Mfr Mbj tangentielle


Ê¥zw¥z |
0
↳ =



Qn -4g T' E. ii E- tenseur des
oq-z-w.cz
=



contraintes
J → = à




champ de déplacement statique
Poutre en flexion
Navier
Eq de

Fy =
force et
fy =
force linéique (1-20) Du# I. u 0
dy
=


ai
-


=


du
tete ) Sij )
Moment d' inertie
Iz ffyzdydz = Tij ( eijt

flèche Sln ) :
Mz EIZ ¥=
Variation de volume
eux
tele )
"

Txn =
E Eux =
-




Ey DIE
dx
?
¥ =




Cxx -
b- DI
y
-
= =


Rcn) dns

DM (x )
D=
=
Fg ( )
-
x



M
Moment fléchissant :
ÉAIË
arc A un point de la section Sx
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