Strong ellipticity conditions and infinitesimal stability within nonlinear strain gradient elasticity

Mechanics Research Communications ◽

10.1016/j.mechrescom.2021.103782 ◽

2021 ◽

pp. 103782

Author(s):

Victor A. Eremeyev

Keyword(s):

Strain Gradient ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Strong Ellipticity ◽

Nonlinear Strain

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Modelling the flexural waves in a nanoplate based on the fractional order nonlocal strain gradient elasticity and thermoelasticity

Composite Structures ◽

10.1016/j.compstruct.2021.113793 ◽

2021 ◽

Vol 266 ◽

pp. 113793

Author(s):

Yishuang Huang ◽

Peijun Wei

Keyword(s):

Fractional Order ◽

Strain Gradient ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Flexural Waves ◽

Nonlocal Strain Gradient

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Strain Gradient Elasticity for Antiplane Shear Cracks: A Hypersingular Integrodifferential Equation Approach

SIAM Journal on Applied Mathematics ◽

10.1137/s0036139900380487 ◽

2002 ◽

Vol 62 (3) ◽

pp. 1066-1091 ◽

Author(s):

Albert C. Fannjiang ◽

Glaucio H. Paulino ◽

Youn-sha Chan

Keyword(s):

Integrodifferential Equation ◽

Strain Gradient ◽

Gradient Elasticity ◽

Antiplane Shear ◽

Strain Gradient Elasticity ◽

Equation Approach ◽

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FEM simulation of the size- and constraining effect in lead- free solder joints with the theory of strain gradient elasticity

Journal of Physics Conference Series ◽

10.1088/1742-6596/602/1/012020 ◽

2015 ◽

Vol 602 ◽

pp. 012020

Author(s):

M Lederer ◽

J Magnien ◽

G Khatibi ◽

B Weiss

Keyword(s):

Strain Gradient ◽

Solder Joints ◽

Fem Simulation ◽

Gradient Elasticity ◽

Lead Free ◽

Lead Free Solder ◽

Strain Gradient Elasticity ◽

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Nonlinear forced vibrations of a slightly curved nanotube conveying fluid based on the nonlocal strain gradient elasticity theory

Microfluidics and Nanofluidics ◽

10.1007/s10404-021-02493-0 ◽

2021 ◽

Vol 25 (11) ◽

Author(s):

Akintoye O. Oyelade ◽

Julius O. Ehigie ◽

Ayo A. Oyediran

Keyword(s):

Elasticity Theory ◽

Strain Gradient ◽

Gradient Elasticity ◽

Forced Vibrations ◽

Strain Gradient Elasticity ◽

Strain Gradient Elasticity Theory ◽

Gradient Elasticity Theory ◽

Nonlocal Strain Gradient ◽

Conveying Fluid

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Torsional vibration of nano-cone based on nonlocal strain gradient elasticity theory

The European Physical Journal Plus ◽

10.1140/epjp/i2017-11688-0 ◽

2017 ◽

Vol 132 (9) ◽

Author(s):

Mohsen Mahdavi Adeli ◽

Amin Hadi ◽

Mohammad Hosseini ◽

Hamid Haghshenas Gorgani

Keyword(s):

Elasticity Theory ◽

Strain Gradient ◽

Torsional Vibration ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Strain Gradient Elasticity Theory ◽

Gradient Elasticity Theory ◽

Nonlocal Strain Gradient

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On the relation between the energy of a distorted crystal lattice and the bending modulus of strain gradient elasticity

Journal of Physics Conference Series ◽

10.1088/1742-6596/790/1/012019 ◽

2017 ◽

Vol 790 ◽

pp. 012019

Author(s):

M Lederer ◽

G Khatibi

Keyword(s):

Crystal Lattice ◽

Strain Gradient ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Bending Modulus

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On buckling of porous double-layered FG nanoplates in the Pasternak elastic foundation based on nonlocal strain gradient elasticity

Composites Part B Engineering ◽

10.1016/j.compositesb.2018.09.014 ◽

2018 ◽

Vol 153 ◽

pp. 465-479 ◽

Author(s):

Nebojša Radić

Keyword(s):

Elastic Foundation ◽

Strain Gradient ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Pasternak Elastic Foundation ◽

Nonlocal Strain Gradient

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A combined first principles and analytical determination of the modulus of cohesion, surface energy, and the additional constants in the second strain gradient elasticity

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2013.08.004 ◽

2013 ◽

Vol 50 (24) ◽

pp. 3967-3974 ◽

Author(s):

Farzaneh Ojaghnezhad ◽

Hossein M. Shodja

Keyword(s):

Surface Energy ◽

Strain Gradient ◽

First Principles ◽

Gradient Elasticity ◽

Analytical Determination ◽

Strain Gradient Elasticity

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Nonlinear resonant behavior of thick multilayered nanoplates via nonlocal strain gradient elasticity theory

Acta Mechanica ◽

10.1007/s00707-020-02636-4 ◽

2020 ◽

Vol 231 (6) ◽

pp. 2651-2667

Author(s):

E. Mahmoudpour

Keyword(s):

Elasticity Theory ◽

Strain Gradient ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Strain Gradient Elasticity Theory ◽

Resonant Behavior ◽

Gradient Elasticity Theory ◽

Nonlocal Strain Gradient

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Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(02)00286-4 ◽

2002 ◽

Vol 191 (34) ◽

pp. 3669-3750 ◽

Author(s):

G. Engel ◽

K. Garikipati ◽

T.J.R. Hughes ◽

M.G. Larson ◽

L. Mazzei ◽

...

Keyword(s):

Finite Element ◽

Continuum Mechanics ◽

Fourth Order ◽

Strain Gradient ◽

Elliptic Problems ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Finite Element Approximations ◽

Discontinuous Finite Element ◽

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