Size- and edge-effect cohesive energy and shear strength between graphene, carbon nanotubes and nanofibers: Continuum modeling and molecular dynamics simulations
Explicit expressions for the size- and edge-effect cohesive energy and shear stress between two finite-sized graphene (graphene/graphene), two finite-sized carbon nanotubes (CNTs) (CNT/CNT) and two finite-sized nanofibers (nanofiber/nanofiber) are obtained through continuum modeling of van der Waals (vdW) interactions between them. The close-form solutions of the cohesive energy and shear stress between these structures at different positions are derived by using Gaussian quadrature. The analytical results of the edge-effect cohesive energy show that both of the maximum repulsive and attractive shear stresses are always close to the initial intersecting positions between them. Checking against present molecular dynamics (MD) calculations and available experimental results shows that the continuum solutions are reasonable, in which the main reason of their difference is also revealed in detail. The obtained analytical solutions should be of great help for understanding the size- and edge-effect interactions between these nanostructures and designing nanoelectronic devices.
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Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai Key Lab Mech Energy Engn, Div Modern Mech,Inst Shanghai Univ E, Shanghai 200072, Peoples R ChinaShanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai Key Lab Mech Energy Engn, Div Modern Mech,Inst Shanghai Univ E, Shanghai 200072, Peoples R China
Guo, Zhengrong
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Chang, Tienchong
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Guo, Xingming
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Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai Key Lab Mech Energy Engn, Div Modern Mech,Inst Shanghai Univ E, Shanghai 200072, Peoples R ChinaShanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai Key Lab Mech Energy Engn, Div Modern Mech,Inst Shanghai Univ E, Shanghai 200072, Peoples R China
Guo, Xingming
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Gao, Huajian
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Brown Univ, Sch Engn, Providence, RI 02912 USAShanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai Key Lab Mech Energy Engn, Div Modern Mech,Inst Shanghai Univ E, Shanghai 200072, Peoples R China
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Columbia Univ, Dept Mech Engn, New York, NY 10027 USA
Columbia Univ, Def Adv Res Projects Agcy Ctr Integrated Micro Na, New York, NY 10027 USAColumbia Univ, Dept Mech Engn, New York, NY 10027 USA
Lee, Changgu
;
Wei, Xiaoding
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Columbia Univ, Dept Mech Engn, New York, NY 10027 USAColumbia Univ, Dept Mech Engn, New York, NY 10027 USA
Wei, Xiaoding
;
Kysar, Jeffrey W.
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Columbia Univ, Dept Mech Engn, New York, NY 10027 USA
Columbia Univ, Ctr Nanostruct Mat, New York, NY 10027 USAColumbia Univ, Dept Mech Engn, New York, NY 10027 USA
机构:
Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai Key Lab Mech Energy Engn, Div Modern Mech,Inst Shanghai Univ E, Shanghai 200072, Peoples R ChinaShanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai Key Lab Mech Energy Engn, Div Modern Mech,Inst Shanghai Univ E, Shanghai 200072, Peoples R China
Guo, Zhengrong
;
论文数: 引用数:
h-index:
机构:
Chang, Tienchong
;
Guo, Xingming
论文数: 0引用数: 0
h-index: 0
机构:
Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai Key Lab Mech Energy Engn, Div Modern Mech,Inst Shanghai Univ E, Shanghai 200072, Peoples R ChinaShanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai Key Lab Mech Energy Engn, Div Modern Mech,Inst Shanghai Univ E, Shanghai 200072, Peoples R China
Guo, Xingming
;
Gao, Huajian
论文数: 0引用数: 0
h-index: 0
机构:
Brown Univ, Sch Engn, Providence, RI 02912 USAShanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai Key Lab Mech Energy Engn, Div Modern Mech,Inst Shanghai Univ E, Shanghai 200072, Peoples R China
机构:
Columbia Univ, Dept Mech Engn, New York, NY 10027 USA
Columbia Univ, Def Adv Res Projects Agcy Ctr Integrated Micro Na, New York, NY 10027 USAColumbia Univ, Dept Mech Engn, New York, NY 10027 USA
Lee, Changgu
;
Wei, Xiaoding
论文数: 0引用数: 0
h-index: 0
机构:
Columbia Univ, Dept Mech Engn, New York, NY 10027 USAColumbia Univ, Dept Mech Engn, New York, NY 10027 USA
Wei, Xiaoding
;
Kysar, Jeffrey W.
论文数: 0引用数: 0
h-index: 0
机构:
Columbia Univ, Dept Mech Engn, New York, NY 10027 USA
Columbia Univ, Ctr Nanostruct Mat, New York, NY 10027 USAColumbia Univ, Dept Mech Engn, New York, NY 10027 USA