Size-dependent non-linear mechanical properties of graphene nanoribbons |
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| Authors: | SK Georgantzinos GI Giannopoulos DE Katsareas PA Kakavas NK Anifantis |
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| Affiliation: | 1. Machine Design Laboratory, Mechanical and Aeronautics Engineering Department, University of Patras, 26500 Patras, Greece;2. Technological Educational Institute of Patras, Department of Mechanical Engineering, 26334 Koukouli, Patras, Greece;3. Technological Educational Institute of Patras, Department of Renovation and Rehabilitation of Buildings, 26334 Koukouli, Patras, Greece;1. Departamento de Mecánica de los Medios, Continuos y Teoría de Estructuras, Escuela Técnica Superior de Ingenieros, de Caminos, Canales y Puertos. Universidad Politécnica de Valencia, Camino de vera s/n, Valencia, Spain;2. Departamento de Ingeniería de la Construcción, Escuela Técnica Superior de Ingenieros de Caminos, Canales y Puertos, Universidad Politécnica de Valencia, Camino de vera s/n, Valencia, Spain;1. Department of Physics, Sari Branch, Islamic Azad University, Sari, Iran;2. School of Physics, Damghan University, Damghan, Iran;1. Department of Mechanical Engineering, National Kaohsiung University of Applied Sciences, Kaohsiung 807, Taiwan, ROC;2. Department of Mechanical Engineering, Kun Shan University, Tainan 710, Taiwan, ROC;3. Department of Mechanical Engineering, Southern Taiwan University of Science and Technology, Tainan 710, Taiwan, ROC;1. School of Computing, Engineering and Mathematics, University of Western Sydney, Locked Bag 1797, Penrith, NSW 2751, Australia;2. School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai 200240, People''s Republic of China;1. College of Water Resources and Architectural Engineering, Northwest A&F University, Yangling 712100, China;2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China;3. Centre for Innovative Structures and Materials, School of Engineering, RMIT University, VIC 3001, Australia;4. School of Port and Transportation Engineering, Zhejiang Ocean University, Zhoushan 316022, China |
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| Abstract: | An atomistic, spring-based, non-linear finite element method is implemented in order to predict the non-linear mechanical behavior of graphene nanoribbons. According this method, appropriate non-linear springs are utilized to simulate each interatomic interaction. Their force–displacement curve follows the relation between the first differentiation of the potential energy of the corresponding interaction-bond deformation. The potential which corresponds to the bond angle variation is simulated by a torsional spring, while the bond stretching is simulated by a uniaxial compression/extension spring. The linear approximation, commonly made in the literature for the bond angle bending interaction, is not followed here and thus the overall non-linear response of the specific interaction is accurately introduced into the model. Following the proposed formulation, the tensile uniaxial stress–strain behavior for various graphene nanoribbons, of zigzag as well as armchair orientation, arise. The results demonstrate that the linear and non-linear mechanical properties are strongly dependent on the structure as well as on the size of the graphene strip tested. |
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