Vol. 9, No. 2, 2014

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ISSN: 1559-3959
Origin and effect of nonlocality in a composite

Stewart A. Silling

Vol. 9 (2014), No. 2, 245–258

A simple demonstration of nonlocality in a heterogeneous material is presented. By analysis of the microscale deformation of a two-component layered medium, it is shown that nonlocal interactions necessarily appear in a homogenized model of the system. Explicit expressions for the nonlocal forces are determined. The way these nonlocal forces appear in various nonlocal elasticity theories is derived. The length scales that emerge involve the constituent material properties as well as their geometrical dimensions. A peridynamic material model for the smoothed displacement field is derived. It is demonstrated by comparison with experimental data that the incorporation of nonlocality in modeling improves the prediction of the stress concentration in an open-hole tension test on a composite plate.

composite, laminate, elasticity, nonlocality, peridynamics
Received: 31 January 2014
Accepted: 23 February 2014
Published: 30 May 2014
Stewart A. Silling
Multiscale Science Department
Sandia National Laboratories
P.O. Box 5800, MS-1322
Albuquerque, NM 87185-1322
United States