Issue 50

O. Mouhat et alii, Frattura ed Integrità Strutturale, 50 (2019) 126-140; DOI: 10.3221/IGF-ESIS.50.12

N

N

N

1       1 1 , N u v , N v w N w  , , i i i i i i i N N N i x i  y i yi z  N N        



u

i i

(2)



x 

i z i 

N







i

i

i

1

1

1

Figure 1 : Panel cross-section

Figure 2 : Coordinate System with the displacement

Where i N is the global number of nodes, the Lagrangian method is used in this work for each node, we define the response vector i q as:         i i i T i i i i x y z q u v w (3)

The total deformation is written in the following form:       0 1     

 

 

2 v w u w , 2 ,y x

2

u v

            

  

,

,x

x



2    ,y

,y

1 2                   

             

,y u v

2

w w

,x

,

, x y

 



0 0 0 0 0 0

, x x

(4)

 

y,y

 x

   y x

  

,y

y,x

w w



,

y

     

,x

    

 z

where

    

 T

x y xy x y xy yz zx z         

(5)

129