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MECHANICS OF COMPOSITE MATERIALS

AUTAR KAW

FORMULA SHEET FOR CHAPTER 3

2= , + ) E / E ( 1- ) E / E ( = ,

V -1V +1 =

E E

m f

m f

f

f

m

2 ξ ξ

η η ξη

1= , + )G / G(

1- )G / G( = ,V -1V +1

=GG

m f

m f

f

f

m

12 ξ ξ

η η

ξη

splittingMatrix )( E = )( 12

ult

T

21ult

c1ν ε σ

)V -(1 )( = )( 1/3 f ult T mult

T 2 ε ε

1+1-

E E

sd

)( = )( f

mult

T mult

T 2 ε ε

V -1G ,

)V -3(1 E E V

E E )V -(1+V 2in= )(

f

m

f

f m f

f

m f f ult

C 1 mσ

[ ]V )( +V )( 2= )( mult m f ult f ult C 1 τ τ σ )( E = )( ult T 22ult T 2 ε σ

)( E = )( ult C 22ult

C 2 ε σ

)( sd

-1+GG

sd

G= )( ult m f

m12ult 12 γ τ

)V E +V E ( E

1 = mmm f f f

11 α α α

ν α α ν α ν α 121mmm f f f 2 -V )+(1+V )+(1=

ρ ρ ρ

β β β c

f f

f mm

m1

mmmm f f f f

1 )C V +C V ( E

C E V +C E V = ∆∆

∆∆

ν β ρ ρ ρ

β ν β ν β 121c

f f f mmm

mmmm f f f f 2 - )C V +C V (

C )+(1V +C )+(1V = ∆∆

∆∆