Origin and effect of nonlocality in a layered composite.

Silling, Stewart Andrew

doi:10.2172/1147358

Title: Origin and effect of nonlocality in a layered composite.

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Abstract

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 dimen- sions. A peridynamic material model for the smoothed displacement eld is derived. It is demonstrated by comparison with experimental data that the incorporation of non- locality in modeling dramatically improves the prediction of the stress concentration in an open hole tension test on a composite plate.

Authors:: Silling, Stewart Andrew

Publication Date:: Wed Jan 01 00:00:00 EST 2014

Research Org.:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1147358

Report Number(s):: SAND2013-8140
498320

DOE Contract Number:: AC04-94AL85000

Resource Type:: Technical Report

Country of Publication:: United States

Language:: English

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                    Silling, Stewart Andrew. Origin and effect of nonlocality in a layered composite..  United States: N. p., 2014. 
        Web.  doi:10.2172/1147358.

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                    Silling, Stewart Andrew. Origin and effect of nonlocality in a layered composite..  United States.  https://doi.org/10.2172/1147358

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                    Silling, Stewart Andrew. 2014.  
        "Origin and effect of nonlocality in a layered composite.".  United States.  https://doi.org/10.2172/1147358.  https://www.osti.gov/servlets/purl/1147358.

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@article{osti_1147358,

  title        = {Origin and effect of nonlocality in a layered composite.},

  author       = {Silling, Stewart Andrew},

  abstractNote = {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 dimen- sions. A peridynamic material model for the smoothed displacement eld is derived. It is demonstrated by comparison with experimental data that the incorporation of non- locality in modeling dramatically improves the prediction of the stress concentration in an open hole tension test on a composite plate.},

  doi          = {10.2172/1147358},

  url          = {https://www.osti.gov/biblio/1147358},
  journal      = {},
number       = ,

  volume       = ,

  place        = {United States},

  year         = {Wed Jan 01 00:00:00 EST 2014},

  month        = {Wed Jan 01 00:00:00 EST 2014}

}

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