{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

useful_equations

useful_equations - MSE 113 Win13(Continuum Mechanics_R 0...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: _ MSE 113 Win13 (Continuum Mechanics) _R. 0. Ritchie (Elasticity/Plasticity) lguilibw _ao 6c: - - ‘ -—‘l+ +41- 0 5X: in 01:1 _6513 23 60' —+ + 5x1 3 + ‘51:; En = 6x2 Bx as as . . 3::— +—13- = 0 assummg no body forces or aooeleratnon 5° _ 33 0 5"; E’ _Q9mpatibilizy _ , auf _ _ ch. = %[—g—:+a—:} _ _Strains in cylindrical Coordinates: Bu Bu 1: 1 fine u u e =-—J-; a = ——-’-+—'; a = —+—L+—*oot " “ % a¢ r '39 rsmqb r 1' ¢ ‘Dgfinigigng _ 3 Hydrostatic stress: a = )éZGfi. Deviatoric stress: 0';- = oh. —8ij o _5ij :1 for i = j Ill 3 Dilation: a = Zefi ~A% i=1 Devi ator strain: a; = an. -— 8i,- ‘5fi=o foriatj E = {% [(011 — on): + (“a " 6105033: — 0.1),]? 303:: + a; + 0:»); tag)“ = % [%[(def, — (12:2,)2 + (dag2 — saga)2 +013; — dsf1)2]+ 3018:; + deg: + dagg} _ Constitutive Relations _Elasficr‘ty = }£[on -v(on +630]: =°%e an = )filon -v(on + 011)] : em = °%e 8:3 = )flan 'V(°n +010] 3 an = 0%G G=%(1+‘v) B=%(l—2v)=% _PIasricig; d5 3 d." d811,! = 5 an )éoan +530] : (1852 = 3%" 0'12 d5 3 6-" deg2 = E [o }é(on+o,3)], 333:5? :313 (IE 3 d? c13:43 = #[fin ”)60311 +622)] : deal =3 7870.31 dressage; ...
View Full Document

{[ snackBarMessage ]}