Mathematical Physics - Volume II - Numerical Methods

6.5 Discrete Element Methods

271

It is demonstrated by Chang and co-authors [66] that, for a 2D case (the inter-particle twisting stiffness is by definition equal to zero), the behavior of the particle network is equivalent to that of the beam lattice if the following relationships

E ( b ) A ( b ) L ( b )

12 E ( b ) I ( b ) ( L ( b ) ) 3

E ( b ) I ( b ) L ( b )

k n =

k t =

k a =

(6.73)

,

,

,

hold true between the spring constants and the beam properties.