PSI - Issue 47

Dmitry Ledon et al. / Procedia Structural Integrity 47 (2023) 213–218 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

216

4

 1 2   D= v+v



(3)

1 3

s d  σ σ σ = ,

(4)

: s  σ σ E

R

( : ) 2 ( G D E E D p  ) p   

(5)

σ



(6)

R σ σ

T σ σ R R R R    

T

  

( )



U T

F  

  

 

(7)

exp n 

p



p       



0

p

kT







( )



U T

F  

  

 

exp p n

(8)

p

p      p 



0

p

kT







F



0 n

(9)

  





k

1

(10)

m

( )



U T

T



m

T

c

:  p

2 F p p

2





2   

1 3 4 c p c c c p p ln 2

(11)

   

2 d

2 2

F

G



m

F



(12)

: σ ε p    cT

:

p+

T



p



The problem was solved numerically using the finite element method in an axisymmetric formulation. The geometry of the problem and the loading conditions are schematically shown in fig. 3. Laser loading was modeled as a triangular pressure pulse with a given amplitude. The duration of the incoming pulse was 5 ∙ 10 -8 sec.

Fig. 3. The geometry of the problem and the loading conditions