Generalized Trefftz Method in the Gradient Elasticity Theory

Lobachevskii Journal of Mathematics ◽

10.1134/s1995080221080321 ◽

2021 ◽

Vol 42 (8) ◽

pp. 1944-1953

Author(s):

D. B. Volkov-Bogorodskiy ◽

E. I. Moiseev

Keyword(s):

Elasticity Theory ◽

Gradient Elasticity ◽

Trefftz Method ◽

Gradient Elasticity Theory

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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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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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Variational formulation of a simplified strain gradient elasticity theory and its application to a pressurized thick-walled cylinder problem

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2007.04.022 ◽

2007 ◽

Vol 44 (22-23) ◽

pp. 7486-7499 ◽

Author(s):

X.-L. Gao ◽

S.K. Park

Keyword(s):

Elasticity Theory ◽

Strain Gradient ◽

Variational Formulation ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Strain Gradient Elasticity Theory ◽

Gradient Elasticity Theory ◽

Walled Cylinder

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A micromorphic approach to stress gradient elasticity theory with an assessment of the boundary conditions and size effects

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

10.1002/zamm.201700364 ◽

2018 ◽

Vol 98 (9) ◽

pp. 1528-1553 ◽

Author(s):

Castrenze Polizzotto

Keyword(s):

Boundary Conditions ◽

Elasticity Theory ◽

Size Effects ◽

Stress Gradient ◽

Gradient Elasticity ◽

Gradient Elasticity Theory

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Nonlinear vibrations of pre- and post-buckled lipid supramolecular micro/nano-tubules via nonlocal strain gradient elasticity theory

Journal of Biomechanics ◽

10.1016/j.jbiomech.2017.09.033 ◽

2017 ◽

Vol 65 ◽

pp. 49-60 ◽

Author(s):

S. Sahmani ◽

M.M. Aghdam

Keyword(s):

Elasticity Theory ◽

Strain Gradient ◽

Nonlinear Vibrations ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Strain Gradient Elasticity Theory ◽

Gradient Elasticity Theory ◽

Nonlocal Strain Gradient

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Gradient elasticity theory for fiber composites with fibers resistant to extension and flexure

International Journal of Engineering Science ◽

10.1016/j.ijengsci.2018.06.002 ◽

2018 ◽

Vol 131 ◽

pp. 80-99 ◽

Author(s):

Chun IL Kim ◽

Mahdi Zeidi

Keyword(s):

Elasticity Theory ◽

Gradient Elasticity ◽

Fiber Composites ◽

Gradient Elasticity Theory

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Semi-Inverse Solution of a Pure Beam Bending Problem in Gradient Elasticity Theory: The Absence of Scale Effects

Doklady Physics ◽

10.1134/s1028335818040031 ◽

2018 ◽

Vol 63 (4) ◽

pp. 161-164 ◽

Author(s):

E. V. Lomakin ◽

S. A. Lurie ◽

L. N. Rabinskiy ◽

Y. O. Solyaev

Keyword(s):

Elasticity Theory ◽

Scale Effects ◽

Gradient Elasticity ◽

Inverse Solution ◽

Beam Bending ◽

Gradient Elasticity Theory

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Vibration of functionally graded Mindlin plate based on a modified strain gradient elasticity theory

IOP Conference Series Materials Science and Engineering ◽

10.1088/1757-899x/531/1/012023 ◽

2019 ◽

Vol 531 ◽

pp. 012023

Author(s):

Jingnong Jiang ◽

Lifeng Wang

Keyword(s):

Elasticity Theory ◽

Strain Gradient ◽

Gradient Elasticity ◽

Functionally Graded ◽

Mindlin Plate ◽

Strain Gradient Elasticity ◽

Strain Gradient Elasticity Theory ◽

Gradient Elasticity Theory

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A general solution for strain-gradient elasticity theory

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(69)90072-9 ◽

1969 ◽

Vol 27 (1) ◽

pp. 171-180 ◽

Author(s):

J.M Doyle

Keyword(s):

General Solution ◽

Elasticity Theory ◽

Strain Gradient ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Strain Gradient Elasticity Theory ◽

Gradient Elasticity Theory

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