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!"$#%&"')(10 2 35476 8 94A@ B C 3ED5F GIH PRQSQUTWVYX
 

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A MODEL FOR GRANULAR STATICS WITH
IMPENETRABILITY CONSTRAINTS
K. A. ARIYAWANSA, LEONID BERLYAND, AND ALEXANDER PANCHENKO
Abstract. We study the effects of geometric impenetrability constraints in
statics of frictionless granular packings. The packing is deformed by imposing
boundary conditions, modeling those in shear and compression experiments.
In our two-dimensional model, the packing is represented by a spring-lattice
network, whereby the particle centers correspond to vertices of the network,
and interparticle contacts correspond to the edges. For the springs, we use a
quadratic elastic interaction potential. Combined with the linearized impene-
trability constraints, it provides a regularization of the hard-sphere potential
for small displacements. When the network deforms, each spring either pre-

  

Source: Ariyawansa, Ari - Department of Mathematics, Washington State University

 

Collections: Mathematics