Results 1 to 10 of about 19,698 (269)

Dislocations in second strain gradient elasticity

International Journal of Solids and Structures, 2006
A second strain gradient elasticity theory is proposed based on first and second gradients of the strain tensor. Such a theory is an extension of first strain gradient elasticity with double stresses.
Markus Lazar, Elias C Aifantis
exaly   +4 more sources

Comment on Cimmelli, V.A. Interpretation of Second Law of Thermodynamics in Extended Procedures for the Exploitation of the Entropy Inequality: Korteweg Fluids and Strain-Gradient Elasticity as Examples. Entropy 2024, 26, 293 [PDF]

Entropy
In a recent paper (Entropy 2024, 26, 293), Cimmelli makes use of the constitutive equation of Korteweg fluids to justify the introduction of an extended method to the classical Coleman–Noll procedure.
Samuel Paolucci
doaj   +6 more sources

Two-dimensional periodic structures modeling based on second strain gradient elasticity for a beam grid

International Journal of Mechanical Sciences, 2022
Higher order gradient elasticity theories are widely applied to determine the wave propagation characteristics of micro-sized structures. The novelty of this paper, firstly, is using the Second Strain Gradient (SSG) theory to explore the mechanism of a ...
Bo Yang, A. Zine, C. Droz, M. Ichchou
semanticscholar   +5 more sources

Wave propagation in periodic nano structures through second strain gradient elasticity [PDF]

International Journal of Mechanical Sciences, 2023
The study of wave propagation in the periodic nano-waveguides is of importance to advance the development of energy and wave controlling systems. In this paper, firstly, the element discretization of nano structures is introduced based on the second strain gradient theory.
Bo Yang, M. Bacciocchi, N. Fantuzzi, R. Luciano, F. Fabbrocino   +4 more
semanticscholar   +5 more sources

Interpretation of Second Law of Thermodynamics in Extended Procedures for the Exploitation of the Entropy Inequality: Korteweg Fluids and Strain-Gradient Elasticity as Examples

Entropy
In continuum physics the dissipation principle, first proposed by Coleman and Noll in 1963, regards second law of thermodynamics as a unilateral differential constraint on the constitutive equations.
Vito Antonio Cimmelli
doaj   +5 more sources

Dynamic analysis of second strain gradient elasticity through a wave finite element approach [PDF]

Composite Structures, 2020
In this article, the Second Strain Gradient (SSG) theory proposed by Mindlin is used within a Wave Finite Element Method (WFEM) framework for dynamic analysis of one-dimensional Euler-Bernoulli bending beam and torsional bar.
Bo-Syung Yang, C. Droz, A. Zine, M. Ichchou   +3 more
semanticscholar   +4 more sources

Elastic field of a spherical inclusion with non-uniform eigenfields in second strain gradient elasticity [PDF]

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2017
In this paper, within the complete form of Mindlin’s second strain gradient theory, the elastic field of an isolated spherical inclusion embedded in an infinitely extended homogeneous isotropic medium due to a non-uniform distribution of eigenfields is determined.
M. Delfani, M. Latifi Shahandashti
semanticscholar   +2 more sources

Second Law of Thermodynamics and Strain Gradient Theories of Elasticity [PDF]

Entropy
The paper addresses the second law of thermodynamics through the Clausius–Duhem inequality in its general form, with entropy flux and entropy production given by suitable constitutive functions.
Claudio Giorgi, Angelo Morro
doaj   +2 more sources

Multi-mode propagation and diffusion analysis using the three-dimensional second strain gradient elasticity

Mechanical Systems and Signal Processing, 2023
The multi-mode propagation and diffusion properties are crucial informations when studying complex waveguides. In this paper, firstly, the three-dimensional modeling of micro-sized structures is introduced by using the second strain gradient theory.
Bo Yang, M. Ichchou, A. Zine, C. Droz
semanticscholar   +4 more sources

Surface elasticity revisited in the context of second strain gradient theory [PDF]

Mechanics of Materials, 2016
Surface/interface stresses, when notable, are closely associated with a surface/interface layer in which the interatomic bond lengths and charge density distribution differ remarkably from those of the bulk. The presence of such topographical defects as edges and corners amplifies the noted phenomena by large amounts.
Farzaneh Ojaghnezhad, H. Shodja
semanticscholar   +3 more sources