Issue 48

Y. Khalfi et alii, Frattura ed Integrità Strutturale, 48 (2019) 208-221; DOI: 10.3221/IGF-ESIS.48.22

    0 K  

(20)

where {Δ} denotes the column

 t mn mn bmn smn

   U V W W   , , ,

(21)

and [ K ] is the symmetric matrix given by

11 12 13 14 12 22 23 24 13 23 33 34 14 24 34 44 a a a a a a a a a a a a a a a a

     

     

  K

(22)



Figure 2: Rectangular plate: (a) boundary condition and (b) in-plane forces.

in which

2

2

(

)

a

11 A A  

 



11

66

( 

)

a

 A A

 

12

12 66

13 0  a

2

2

 

 

s

s

66 2 ) s

(   B B B 

a







14

11

12

2

2

(

)

a

66 A A  

 



22

22

23 0  a

2

2

s

66 2 ) s

s

 

 

(

a

12 B B 

B











24

22

4

2 2     2 2

4 0 2    D N N K D N N K 0 2  y 0 2  y 22    x 4 0 2    22  s x

2 2

11 2(   D D D D D D   4 2(   s s 12 ( (

66 2 ) 2 ) s 66

( (

)       )

) )

a a

K K

 



 

33

g

W

2 2

 



34

11

12

g

W

214