Results 271 to 280 of about 16,360 (294)

Rolling motion of an elastic cylinder induced by elastic strain gradients

Journal of Applied Physics, 2014
Recent experiment shows that an elastic strain gradient field can be utilized to transport spherical particles on a stretchable substrate by rolling, inspired by which a generalized plane-strain Johnson-Kendall-Roberts model is developed in this paper in order to verify possible rolling of an elastic cylinder adhering on an elastic substrate subject to
Lei Chen, Shaohua Chen
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On the gradient strain elasticity theory of plates

European Journal of Mechanics - A/Solids, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Second strain gradient elasticity of nano-objects

Journal of the Mechanics and Physics of Solids, 2016
Mindlin's second strain gradient continuum theory for isotropic linear elastic materials is used to model two different kinds of size-dependent surface effects observed in the mechanical behaviour of nano-objects. First, the existence of an initial higher order stress represented by Mindlin's cohesion parameter, b0, makes it possible to account for the
Cordero, Nicolas M., Forest, Samuel, Busso, Esteban P.   +2 more
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On first strain-gradient theories in linear elasticity

International Journal of Solids and Structures, 1968
Abstract This paper contains a study of the linear theory of elasticity in which the potential energy-density depends on the gradient of the strain in addition to the strain. In the first part of the paper, three forms of the theory are compared and the relations connecting the stresses in the three forms and the boundary conditions in the three ...
Mindlin, R. D., Eshel, N. N.
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On the torsion problem of strain gradient elastic bars

Mechanics Research Communications, 2012
Abstract The torsion problem of elastic bars of any cross-sections is discussed, into the context of strain gradient elasticity. It is proven that torsion problem is feasible only for the bars with circular cross-sections. For the other bars (with non-circular cross sections), the non-classical boundary conditions are not satisfied.
K.A. Lazopoulos, A.K. Lazopoulos
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The Kirsch problem in second strain gradient elasticity

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
The Kirsch problem, namely the problem of an infinite plane with a circular hole under uniaxial tension, is one of the cornerstone problems in elasticity. The Kirsch problem is rooted in classical elasticity theory, which cannot explain the size effects.
Jinchen Xie, Ali Javili, Christian Linder   +2 more
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Strain gradient elasticity in orthogonal curvilinear coordinates

2008
In this short note, general formulations of the Toupin–Mindlin strain gradient theory in orthogonal curvilinear coordinate systems are derived, and are then specified for the cases of cylindrical coordinates and spherical coordinates. Expressions convenient for practical use are presented for the corresponding equilibrium equations, boundary conditions,
Zhao, Jidong, Pedroso, Dorival
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Parametric deep energy approach for elasticity accounting for strain gradient effects

Computer Methods in Applied Mechanics and Engineering, 2021
Cosmin Anitescu, Naif Alajlan, Timon Rabczuk   +2 more
exaly  

Strong ellipticity within the Toupin–Mindlin first strain gradient elasticity theory

Mechanics Research Communications, 2022
VÍCTOR A Eremeyev, Markus Lazar
exaly  

Strain gradient elasticity and modified couple stress models for buckling analysis of axially loaded micro-scaled beams

International Journal of Engineering Science, 2011
Bekir Akgoz, Ömer Civalek
exaly