In this paper, the bending behaviors of the nanoplate with small scale effects are investigated by the nonlocal continuum theory. The governing equations for the nonlocal Mindlin and Kirchhoff plate models are derived. The expressions of the bending displacement are presented analytically. The difference between the two models is discussed and bending properties of the nanoplate are illustrated. It can be observed that the small scale effects are obvious for bending properties of the nanoplate. The half wave numbers, width ratios and elastic matrix properties also have significant influence on bending behaviors. (C) 2012 Elsevier Ltd. All rights reserved.
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Achenbach JD., 1973, Wave propagation in elastic solids
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Wayne State Univ, Adv Composities Res Lab, Mech Engn Dept, Detroit, MI 48202 USAWayne State Univ, Adv Composities Res Lab, Mech Engn Dept, Detroit, MI 48202 USA
Gibson, Ronald F.
Ayorinde, Emmanuel O.
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机构:Wayne State Univ, Adv Composities Res Lab, Mech Engn Dept, Detroit, MI 48202 USA
Ayorinde, Emmanuel O.
Wen, Yuan-Feng
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机构:Wayne State Univ, Adv Composities Res Lab, Mech Engn Dept, Detroit, MI 48202 USA
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City Univ Hong Kong, Dept Bldg & Construct, Hong Kong, Hong Kong, Peoples R China
Beijing Jiaotong Univ, Inst Solid Mech, Beijing 100044, Peoples R ChinaUniv Western Sydney, Sch Engn, Penrith, NSW 1797, Australia
Ke, L. L.
Xiang, Y.
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Univ Western Sydney, Sch Engn, Penrith, NSW 1797, AustraliaUniv Western Sydney, Sch Engn, Penrith, NSW 1797, Australia
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City Univ Hong Kong, Dept Bldg & Construct, Kowloon, Hong Kong, Peoples R ChinaCity Univ Hong Kong, Dept Bldg & Construct, Kowloon, Hong Kong, Peoples R China
Kitipornchai, S
He, XQ
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City Univ Hong Kong, Dept Bldg & Construct, Kowloon, Hong Kong, Peoples R ChinaCity Univ Hong Kong, Dept Bldg & Construct, Kowloon, Hong Kong, Peoples R China
He, XQ
Liew, KM
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City Univ Hong Kong, Dept Bldg & Construct, Kowloon, Hong Kong, Peoples R ChinaCity Univ Hong Kong, Dept Bldg & Construct, Kowloon, Hong Kong, Peoples R China
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Wayne State Univ, Adv Composities Res Lab, Mech Engn Dept, Detroit, MI 48202 USAWayne State Univ, Adv Composities Res Lab, Mech Engn Dept, Detroit, MI 48202 USA
Gibson, Ronald F.
Ayorinde, Emmanuel O.
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h-index: 0
机构:Wayne State Univ, Adv Composities Res Lab, Mech Engn Dept, Detroit, MI 48202 USA
Ayorinde, Emmanuel O.
Wen, Yuan-Feng
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机构:Wayne State Univ, Adv Composities Res Lab, Mech Engn Dept, Detroit, MI 48202 USA
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City Univ Hong Kong, Dept Bldg & Construct, Hong Kong, Hong Kong, Peoples R China
Beijing Jiaotong Univ, Inst Solid Mech, Beijing 100044, Peoples R ChinaUniv Western Sydney, Sch Engn, Penrith, NSW 1797, Australia
Ke, L. L.
Xiang, Y.
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h-index: 0
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Univ Western Sydney, Sch Engn, Penrith, NSW 1797, AustraliaUniv Western Sydney, Sch Engn, Penrith, NSW 1797, Australia
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City Univ Hong Kong, Dept Bldg & Construct, Kowloon, Hong Kong, Peoples R ChinaCity Univ Hong Kong, Dept Bldg & Construct, Kowloon, Hong Kong, Peoples R China
Kitipornchai, S
He, XQ
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h-index: 0
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City Univ Hong Kong, Dept Bldg & Construct, Kowloon, Hong Kong, Peoples R ChinaCity Univ Hong Kong, Dept Bldg & Construct, Kowloon, Hong Kong, Peoples R China
He, XQ
Liew, KM
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City Univ Hong Kong, Dept Bldg & Construct, Kowloon, Hong Kong, Peoples R ChinaCity Univ Hong Kong, Dept Bldg & Construct, Kowloon, Hong Kong, Peoples R China