Results 281 to 290 of about 162,049 (328)
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ON NONLOCAL LAM STRAIN GRADIENT MECHANICS OF ELASTIC RODS

International Journal for Multiscale Computational Engineering, 2020
Numerous contributions can be found in the recent literature exploiting the nonlocal strain gradient model, introduced in consequence of unification of the differential relation (consequent but not equivalent to Eringen nonlocal integral law) and strain gradient elasticity.
Barretta R.   +3 more
openaire   +2 more sources

Plane strain gradient elastic rectangle in tension

Archive of Applied Mechanics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Charalambopoulos, Antonios   +1 more
openaire   +1 more source

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.   +2 more
openaire   +2 more sources

Trefftz collocation method for two‐dimensional strain gradient elasticity

International Journal for Numerical Methods in Engineering, 2020
AbstractIndirect Trefftz method is proposed for solving two‐dimensional boundary value problems of the strain gradient elasticity theory (SGET). A system of trial functions satisfying the fourth‐order equilibrium equations of SGET are developed based on the generalized Papkovich‐Neuber potentials.
Yury O. Solyaev, Sergey A. Lurie
openaire   +2 more sources

Strong Ellipticity Within the Strain Gradient Elasticity: Elastic Bar Case

2022
In this note we discuss the strong ellipticity condition within the nonlinear strain gradient elasticity. Considering a one-dimensional case, i.e. an elastic bar loaded by a tensile force, we analyze the correspondence of violation of the strong ellipticity condition and compare the results with classic nonlinear elasticity.
Eremeyev V. A., Reccia E.
openaire   +1 more source

The Eigenmodes in Isotropic Strain Gradient Elasticity

2016
We present the spectral decomposition of the isotropic stiffness hexadic that appears in Mindlin’s strain gradient elasticity, where the kinematic variable is the second gradient of the displacement field. It turns out that four distinct eigenmodes appear, two of which are universal for all isotropic strain gradient materials, and two depend on an ...
Rainer Glüge   +2 more
openaire   +1 more source

Lamé’s strain potential method for plane gradient elasticity problems

Archive of Applied Mechanics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Papargyri-Beskou, Sofia   +1 more
openaire   +1 more source

Gradient Elasticity Based on Laplacians of Stress and Strain

Journal of Elasticity, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C. Broese, C. Tsakmakis, D. Beskos
openaire   +1 more source

Thermally induced nonlinear dynamic analysis of temperature-dependent functionally graded flexoelectric nanobeams based on nonlocal simplified strain gradient elasticity theory

, 2020
In this work, thermally induced dynamic behaviors of functionally graded flexoelectric nanobeams (FGFNs) are analyzed theoretically while considering the neutral surface concept and the von Karman nonlinearity induced by thermal environment.
Liangliang Chu   +2 more
semanticscholar   +1 more source

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