Results 21 to 30 of about 162,049 (328)

Mathematical modeling of the elastic properties of cubic crystals at small scales based on the Toupin–Mindlin anisotropic first strain gradient elasticity

open access: yesContinuum Mechanics and Thermodynamics, 2021
In this work, a mathematical modeling of the elastic properties of cubic crystals with centrosymmetry at small scales by means of the Toupin–Mindlin anisotropic first strain gradient elasticity theory is presented.
M. Lazar, E. Agiasofitou, T. Böhlke
semanticscholar   +1 more source

Forced Nonlinear Vibrations in a Smart Magneto-Viscoelastic Multiscale Composite Nanobeam in a Humid Thermal Environment

open access: yesEngineering Transactions, 2023
In this paper, we study forced harmonic waves in a magneto-electro-viscoelastic (MEV) nanobeam embedded in a viscoelastic foundation using nonlocal strain gradient elasticity theory.
Lakshmanan ANITHA   +3 more
doaj   +1 more source

Symmetry classes for even-order tensors [PDF]

open access: yes, 2013
The purpose of this article is to give a complete and general answer to the recurrent problem in continuum mechanics of the determination of the number and the type of symmetry classes of an even-order tensor space.
Auffray, N., Olive, M.
core   +4 more sources

Non-Conventional Thermodynamics and Models of Gradient Elasticity

open access: yesEntropy, 2018
We consider material bodies exhibiting a response function for free energy, which depends on both the strain and its gradient. Toupin–Mindlin’s gradient elasticity is characterized by Cauchy stress tensors, which are given by space-like Euler–Lagrange ...
Hans-Dieter Alber   +3 more
doaj   +1 more source

Free Vibration Analysis of Size-Dependent Multi-Layered Graphene Sheets Based on Strain Gradient Elasticity Theory [PDF]

open access: yesMechanics of Advanced Composite Structures, 2022
This study investigates the size-dependent free vibration analysis of multi-layered graphene sheets based on exponential shear deformation theory (ESDT), which considers the effects of rotary inertia and transverse shear deformations. In order to capture
Korosh Khorshidi   +2 more
doaj   +1 more source

On chiral effects in strain gradient elasticity [PDF]

open access: yesEuropean Journal of Mechanics - A/Solids, 2016
This paper is concerned with the problem of uniformly loaded bars in strain gradient elasticity. We study the deformation of an isotropic chiral bar subjected to body forces, to tractions on the lateral surface and to resultant forces and moments on the ends. Examples of chiral materials include some auxetic materials, bones, some honeycomb structures,
Iesan, Dorin   +1 more
openaire   +4 more sources

Steady-State Crack Growth in Nanostructured Quasi-Brittle Materials Governed by Second Gradient Elastodynamics

open access: yesApplied Sciences, 2023
The elastodynamic stress field near a crack tip propagating at a constant speed in isotropic quasi-brittle material was investigated, taking into account the strain gradient and inertia gradient effects.
Yury Solyaev
doaj   +1 more source

Anisotropic and dispersive wave propagation within strain-gradient framework [PDF]

open access: yes, 2016
In this paper anisotropic and dispersive wave propagation within linear strain-gradient elasticity is investigated. This analysis reveals significant features of this extended theory of continuum elasticity. First, and contrarily to classical elasticity,
Auffray, Nicolas, Rosi, Giuseppe
core   +2 more sources

A Note on Reduced Strain Gradient Elasticity [PDF]

open access: yes, 2018
We discuss the particular class of strain-gradient elastic material models which we called the reduced or degenerated strain-gradient elasticity. For this class the strain energy density depends on functions which have different differential properties in different spatial directions.
Eremeyev V. A., dell'Isola F.
openaire   +4 more sources

Distributed non-singular dislocation technique for cracks in strain gradient elasticity

open access: yesJournal of the Mechanical Behavior of Materials, 2014
The mode III fracture analysis of a cracked graded plane in the framework of classical, first strain gradient, and second strain gradient elasticity is presented in this paper.
Mousavi S. Mahmoud   +2 more
doaj   +1 more source

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