PSI - Issue 28

Selda Oterkus et al. / Procedia Structural Integrity 28 (2020) 418–429 Author name / Structural Integrity Procedia 00 (2019) 000–000

422

5

 

 

     y y x x   

 

dV

 

F x 

H

(8)

x

     x x x x   

dV

H

x

The original non-ordinary state-based peridynamics suffer from zero-energy mode problem. To overcome this problem, Silling (2017) introduced an additional stability term to peridynamic forces given in Eqs. (6a,b) as

  

  

Gc

     1  P x K x x x    

t

z

(9)

w

0

with

0 H w dV     x

(10)

and

       z y y F x x   

(11)

In Eq. (9), G is a positive constant and c is the bond constant.

3. Numerical results

Fig. 3. Horizon shapes considered in this study, (a) circle, (b) irregular, (c) square.

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