Issue 52

O. Kryvyi et alii, Frattura ed Integrità Strutturale, 52 (2020) 33-50; DOI: 10.3221/IGF-ESIS.52.04









q

q

q

q



33                                  32 32 33 31 0 1 0 34 6    35 0 7 36 8  D D D 2 2 2 2 , u q  u q  q q                  



u









q

q

q

q



33                32 32 33 31 0 1 0 34 6  [ ]   [ ]   D [ ] D [ ] D [ ] 2 2 2 2 [ ]   [ ], u q  u q  q q    



u

8 

35 0 7

36

q

q



42                 43 44 6 41 1 [ ]   0 0 [ [ ]   [ ]]   [D [ ] D [ ]] u u 2 2 [ ],   q q q q    

6 

7 [ ]  

45

46 1 8





 

66 8   q  



55 7    56 q q 

7  DD [ ]. 

7 

8 [ ], 

8 

q

(A.12)

65

Here we use the notation





j 

( , ) t 

j 

( , ) t 

1

1

1







[ ]    

  

, [ ]   



 

, [ ]  

j 

( , )ln( ) t 

. 

dtd

dtd

0 r dtd

j

j

j

0

1









r

2

2

2

0







The obtained SIS (A.9) and (A.11) generalize the SIS obtained in [15], and allow thermoelasticity problems on interfacial defects in a piecewise homogeneous transversely isotropic space to be reduced directly to SIE systems.

50