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.
Fiber Diameter-Dependent Elastic Deformation in Polymer Composites—A Numerical Study
Present address: Trine University, One University Avenue, Angola, IN 46703.
Present address: Department of Material Science and Engineering, University of Pennsylvania, Philadelphia, PA 19104.
Present address: 9824 Peters Ranch Way, Elk Grove, CA 94550.
Contributed by the Materials Division of ASME for publication in the Journal of Engineering Materials and Technology. Manuscript received March 8, 2018; final manuscript received April 22, 2019; published online June 4, 2019. Assoc. Editor: Erdogan Madenci.
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Garg, N., Chandrashekar, G., Alisafaei, F., and Han, C. (June 4, 2019). "Fiber Diameter-Dependent Elastic Deformation in Polymer Composites—A Numerical Study." ASME. J. Eng. Mater. Technol. January 2020; 142(1): 011002. https://doi.org/10.1115/1.4043766
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