Interaction of two nearby CNTs/nanovoids embedded in a metal matrix using modified nonlocal elasticity |
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| Authors: | S.A. Niaki R. Naghdabadi |
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| Affiliation: | 1. Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran;2. Institute for Nanoscience and Nanotechnology, Sharif University of Technology, Tehran, Iran;1. Department of Physics and Astronomy, Mississippi State University, Mississippi State, MS 39762, USA;2. Center for Advanced Vehicular Systems, Mississippi State University, Mississippi State, MS 39762, USA;3. Center for Computational Sciences, Mississippi State University, Mississippi State, MS 39762, USA;4. Department of Electrical and Computer Engineering and MINT Center, The University of Alabama, Tuscaloosa, AL 35487, USA;5. Center for Computational Materials Science, Naval Research Laboratory, Washington, DC 20375, USA;1. Department of Mechanical Engineering, University of Houston, Houston, TX 77004, USA;2. Department of Physics, University of Houston, Houston, TX 77004, USA;3. Materials Science and Engineering Program, University of Houston, Houston, TX 77004, USA;1. Physics Department, Faculty of Sciences, Golestan University, Gorgan, Iran;2. Golestan Rheumatology Research Center, Golestan University of Medical Science, Gorgan, Iran;3. Young Researchers and Elite Club, Gorgan Branch, Islamic Azad University, Gorgan, Iran;4. Department Chemistry, Payame Noor University, P.O. Box, 19395-3697, Tehran, Iran;5. Department of Chemistry, Gorgan Branch, Islamic Azad University, Gorgan, Iran;1. Division of Materials Science and Engineering, Hanyang University, Seoul 04763, Republic of Korea;2. Department of Applied Chemistry, Kyung Hee University, Yongin-Si 17104, Republic of Korea |
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| Abstract: | Interaction of Carbon Nanotubes (CNTs) and nanovoids embedded in a metal matrix is studied comparatively. For this purpose, two nearby CNTs/nanovoids are modeled as two similar cylindrical inclusions/holes in an infinite matrix. The nonlocal stresses around the CNTs/nanovoids are obtained by applying the integral constitutive equation of the nonlocal elasticity to the stresses from the complex stress potential method. Also, in order to bring different nonlocality effects of dissimilar media into account, the influence function of the nonlocal elasticity is modified. Effects of the CNTs/nanovoids size and distance as well as far-field loading ratio on the stress state in the matrix are investigated. The CNTs strengthening effect on the matrix is shown through lower stresses at the CNTs and matrix interface in comparison to the applied stress. Furthermore, it is indicated that the modified nonlocal analysis brings out the interaction of CNTs/nanovoids at smaller distances in comparison with those the classical analysis used to predict. In other words, higher volume fraction of the CNTs/nanovoids can be incorporated in the metal matrices without devastating effects of their interactions. |
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