Stochastic Peridynamics and local Thermostats - ICMS
Stochastic Peridynamics and local Thermostats - ICMS
Stochastic Peridynamics and local Thermostats - ICMS
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Starting with<br />
m i ÿ i =<br />
<strong>Peridynamics</strong><br />
N∑<br />
j=0,j≠i<br />
F(y i , y j ) + B MD<br />
i , (5)<br />
<strong>Peridynamics</strong> models combine the best of both worlds. Let<br />
u(t, x) be the displacement field for the ”particles” <strong>and</strong><br />
y(t, x) = x + u(t, x), then<br />
∫<br />
ρ(x)ü(t, x) = f (u(t, x ′ ) − u(t, x), x ′ − x)dx ′ + B PD (x). (6)<br />
H x<br />
Max Gunzburger, Miroslav Stoyanov<br />
<strong>Stochastic</strong> <strong>Peridynamics</strong> <strong>and</strong> <strong>local</strong> <strong>Thermostats</strong>
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