A coarsening method for linear peridynamics.

Silling, Stewart Andrew

Sandia National Laboratories

关键词: Body;    36 Materials Science;    Elasticity;    Wells;    Materials;   

DOI  :  10.2172/983676
RP-ID  :  SAND2010-3303
RP-ID  :  AC04-94AL85000
RP-ID  :  983676

美国|英语

来源: UNT Digital Library

【 摘 要 】

A method is obtained for deriving peridynamic material models for a sequence of increasingly coarsened descriptions of a body. The starting point is a known detailed, small scale linearized state-based description. Each successively coarsened model excludes some of the aterial present in the previous model, and the length scale increases accordingly. This excluded material, while not present explicitly in the coarsened model, is nevertheless taken into account implicitly through its effect on the forces in the coarsened material. Numerical examples emonstrate that the method accurately reproduces the effective elastic properties of a composite as well as the effect of a small defect in a homogeneous medium.