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.
Made with FlippingBook Ebook Creator