A coarsening method for linear peridynamics.

Technical Report · Sat May 01 04:00:00 EDT 2010

DOI:https://doi.org/10.2172/983676· OSTI ID:983676

Silling, Stewart Andrew

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.

• Research Organization: Sandia National Laboratories
• Sponsoring Organization: USDOE
• DOE Contract Number: AC04-94AL85000
• OSTI ID: 983676
• Report Number(s): SAND2010-3303
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
BODY
DEFECTS
ELASTICITY
LENGTH
MATERIALS
WELLS