PSI - Issue 47

Sergei Kabrits et al. / Procedia Structural Integrity 47 (2023) 513–520 S. Kabrits and E. Kolpak / Structural Integrity Procedia 00 (2019) 000 – 000

515

3

Due to corrosion, the thickness of the shells decreases, which in turn leads to an increase in stresses. An increase in stress is accompanied by an increase in the corrosion rate.

Fig. 1. Geometry of the shell consisting of spherical, toroidal and cylindrical parts (the upper half)

3. Method of solution The resolving system of equations of geometrically nonlinear shell theory in the case of axisymmetric deformation consists of six differential equations (see Chernikh (1980)):

dr ds dz ds d

  =   =−

cos ,  

1

sin ,  

1    = + 

0  

(

) ,

1

1 ds dM r ds dT r

         

(2)

0

0

cos

,

M

n T r

  +

=

2

1

0

0

0

0

sin (

)

,

T

1 Tr

n q r

   + +

1 2 

n

=

−

2

1

1 ds dTr

0

0

0

cos (

)

;

T

n T r

   − +

=

2

1

ds

where