Tensor and Indicial Notation and Hooke's Law : Stress as a Function of Strain

P. o b le.rt

T he ther f t 1 oe l a s f , ' c fo'" m lfooke's lo.r.tt is given bJ
"f

E= - ! (tc e d(o-o,)L
V t ) L I 4,




a,Jhev^e-
- Couchy sfress
[

I S rna(( sf .a;,rt l _e n s o .


O ! te.rrperqturQ.,


E n Yo ungts modul ts,

V .! pOr.SSon,s ,_qir.O
1

ot v coeF.C r'cr' f
4 of therrnal e=< pan siort,


Ltsing direc.l-. *ensof notq.f rb't o. i"-,o{ier'al nrotafr'ont carr{
"fne defar'l s of l-he- ahov- e.;(Frescl'o'r
orf invetfr'rt4
bg ooritin1 s{-rss5 ds c $,fnefion of strq;q. Leqve,-
Aour
dns<,oer {-errns of I qno{ o(,
Ir, E ) )