Fiber Diameter-Dependent Elastic Deformation in Polymer Composites—A Numerical Study

Author:

Garg Nitin1,Chandrashekar Gurudutt2,Alisafaei Farid3,Han Chung-Souk4

Affiliation:

1. Department of Mechanical Engineering,University of Wyoming,Laramie, WY 82071e-mail: enitingarg@gmail.com

2. Department of Mechanical Engineering,University of Wyoming,Laramie, WY 82071e-mail: chandrashekarg@trine.edu

3. Department of Mechanical Engineering,University of Wyoming,Laramie, WY 82071e-mail: alisafae@seas.upenn.edu

4. Lawrence Livermore National Laboratory,7000 East Avenue,Livermore, CA 94550e-mail: chungsouk.han@gmail.com

Abstract

Abstract Microbeam bending and nano-indentation experiments illustrate that length scale-dependent elastic deformation can be significant in polymers at micron and submicron length scales. Such length scale effects in polymers should also affect the mechanical behavior of reinforced polymer composites, as particle sizes or diameters of fibers are typically in the micron range. Corresponding experiments on particle-reinforced polymer composites have shown increased stiffening with decreasing particle size at the same volume fraction. To examine a possible linkage between the size effects in neat polymers and polymer composites, a numerical study is pursued here. Based on a couple stress elasticity theory, a finite element approach for plane strain problems is applied to predict the mechanical behavior of fiber-reinforced epoxy composite materials at micrometer length scale. Numerical results show significant changes in the stress fields and illustrate that with a constant fiber volume fraction, the effective elastic modulus increases with decreasing fiber diameter. These results exhibit similar tendencies as in mechanical experiments of particle-reinforced polymer composites.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

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