A new Bernoulli–Euler beam model based on a simplified strain gradient elasticity theory and its applications

Composite Structures ◽

10.1016/j.compstruct.2014.01.019 ◽

2014 ◽

Vol 111 ◽

pp. 317-323 ◽

Author(s):

Xu Liang ◽

Shuling Hu ◽

Shengping Shen

Keyword(s):

Elasticity Theory ◽

Strain Gradient ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Model Based ◽

Strain Gradient Elasticity Theory ◽

Gradient Elasticity Theory

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A size-dependent shear deformation beam model based on the strain gradient elasticity theory

International Journal of Engineering Science ◽

10.1016/j.ijengsci.2013.04.004 ◽

2013 ◽

Vol 70 ◽

pp. 1-14 ◽

Author(s):

Bekir Akgöz ◽

Ömer Civalek

Keyword(s):

Elasticity Theory ◽

Shear Deformation ◽

Strain Gradient ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Size Dependent ◽

Model Based ◽

Strain Gradient Elasticity Theory ◽

Gradient Elasticity Theory

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A size-dependent Reddy–Levinson beam model based on a strain gradient elasticity theory

Meccanica ◽

10.1007/s11012-014-9912-2 ◽

2014 ◽

Vol 49 (6) ◽

pp. 1427-1441 ◽

Author(s):

Binglei Wang ◽

Mingchao Liu ◽

Junfeng Zhao ◽

Shenjie Zhou

Keyword(s):

Elasticity Theory ◽

Strain Gradient ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Size Dependent ◽

Model Based ◽

Strain Gradient Elasticity Theory ◽

Gradient Elasticity Theory

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A size‐dependent Bernoulli‐Euler beam model based on strain gradient elasticity theory incorporating surface effects

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.201800048 ◽

2019 ◽

Vol 99 (6) ◽

pp. e201800048 ◽

Author(s):

Guangyang Fu ◽

Shenjie Zhou ◽

Lu Qi

Keyword(s):

Elasticity Theory ◽

Strain Gradient ◽

Gradient Elasticity ◽

Surface Effects ◽

Strain Gradient Elasticity ◽

Size Dependent ◽

Strain Gradient Elasticity Theory ◽

Gradient Elasticity Theory

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A microstructure-dependent sinusoidal plate model based on the strain gradient elasticity theory

Acta Mechanica ◽

10.1007/s00707-015-1308-4 ◽

2015 ◽

Vol 226 (7) ◽

pp. 2277-2294 ◽

Author(s):

Bekir Akgöz ◽

Ömer Civalek

Keyword(s):

Elasticity Theory ◽

Strain Gradient ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Plate Model ◽

Model Based ◽

Strain Gradient Elasticity Theory ◽

Gradient Elasticity Theory

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A nonlinear microbeam model based on strain gradient elasticity theory

Acta Mechanica Solida Sinica ◽

10.1016/s0894-9166(13)60003-8 ◽

2013 ◽

Vol 26 (1) ◽

pp. 21-34 ◽

Author(s):

Farshid Rajabi ◽

Shojaa Ramezani

Keyword(s):

Elasticity Theory ◽

Strain Gradient ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Model Based ◽

Strain Gradient Elasticity Theory ◽

Gradient Elasticity Theory

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A size-dependent Kirchhoff micro-plate model based on strain gradient elasticity theory

European Journal of Mechanics - A/Solids ◽

10.1016/j.euromechsol.2011.04.001 ◽

2011 ◽

Vol 30 (4) ◽

pp. 517-524 ◽

Author(s):

Binglei Wang ◽

Shenjie Zhou ◽

Junfeng Zhao ◽

Xi Chen

Keyword(s):

Elasticity Theory ◽

Strain Gradient ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Plate Model ◽

Size Dependent ◽

Model Based ◽

Strain Gradient Elasticity Theory ◽

Gradient Elasticity Theory

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A size-dependent bilayered microbeam model based on strain gradient elasticity theory

Composite Structures ◽

10.1016/j.compstruct.2013.09.020 ◽

2014 ◽

Vol 108 ◽

pp. 259-266 ◽

Author(s):

Anqing Li ◽

Shenjie Zhou ◽

Shasha Zhou ◽

Binglei Wang

Keyword(s):

Elasticity Theory ◽

Strain Gradient ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Size Dependent ◽

Model Based ◽

Strain Gradient Elasticity Theory ◽

Gradient Elasticity Theory

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Reconsiderations on boundary conditions of Kirchhoff micro-plate model based on a strain gradient elasticity theory

Applied Mathematical Modelling ◽

10.1016/j.apm.2016.03.014 ◽

2016 ◽

Vol 40 (15-16) ◽

pp. 7303-7317 ◽

Author(s):

Binglei Wang ◽

Shenghua Huang ◽

Junfeng Zhao ◽

Shenjie Zhou

Keyword(s):

Boundary Conditions ◽

Elasticity Theory ◽

Strain Gradient ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Plate Model ◽

Model Based ◽

Strain Gradient Elasticity Theory ◽

Gradient Elasticity Theory

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A size-dependent spherical microshell model based on strain gradient elasticity theory

European Journal of Mechanics - A/Solids ◽

10.1016/j.euromechsol.2020.104087 ◽

2020 ◽

Vol 84 ◽

pp. 104087

Author(s):

Lu Qi ◽

Shenjie Zhou

Keyword(s):

Elasticity Theory ◽

Strain Gradient ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Size Dependent ◽

Model Based ◽

Strain Gradient Elasticity Theory ◽

Gradient Elasticity Theory

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A nonlinear microbeam model based on strain gradient elasticity theory with surface energy

Archive of Applied Mechanics ◽

10.1007/s00419-011-0561-9 ◽

2011 ◽

Vol 82 (3) ◽

pp. 363-376 ◽

Author(s):

Farshid Rajabi ◽

Shojaa Ramezani

Keyword(s):

Surface Energy ◽

Elasticity Theory ◽

Strain Gradient ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Model Based ◽

Strain Gradient Elasticity Theory ◽

Gradient Elasticity Theory

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