Results 11 to 20 of about 162,049 (328)
On nonlinear dilatational strain gradient elasticity [PDF]
Continuum Mechanics and Thermodynamics, 2021 We call nonlinear dilatational strain gradient elasticity the theory in which the specific class of dilatational second gradient continua is considered: those whose deformation energy depends, in an objective way, on the gradient of placement and on the ...
V. Eremeyev, A. Cazzani, F. dell’Isola
semanticscholar +2 more sources
Explicit harmonic structure of bidimensional linear strain-gradient elasticity [PDF]
European Journal of Mechanics - A/Solids, 2021 In the perspective of homogenization theory, strain-gradient elasticity is a strategy to describe the overall behavior of materials with coarse mesostructure.
N. Auffray, H. Abdoul-Anziz, B. Desmorat
semanticscholar +6 more sources
Dislocations in second strain gradient elasticity
International Journal of Solids and Structures, 2006 AbstractA 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. In particular, the strain energy depends on the strain tensor and on the first and second gradient terms of it.
Lazar, Markus +2 more
openaire +3 more sources
Matrix representations for 3D strain-gradient elasticity [PDF]
Journal of the Mechanics and Physics of Solids, 2013 The theory of first strain gradient elasticity (SGE) is widely used to model size and non-local effects observed in materials and structures. For a material whose microstructure is centrosymmetric, SGE is characterized by a sixth-order elastic tensor in addition to the classical fourth-order elastic tensor.
Auffray, Nicolas +2 more
openaire +7 more sources
On variational principles in coupled strain-gradient elasticity
Mathematics and Mechanics of Solids, 2022 Strain-gradient elasticity is a special case of high-gradient theories in which the potential energy density depends on the first and second gradient of the displacement field.
L. Nazarenko, R. Glüge, H. Altenbach
semanticscholar +2 more sources
Weak Solutions within the Gradient-Incomplete Strain-Gradient Elasticity [PDF]
Lobachevskii Journal of Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eremeyev V. A., dell'Isola F.
openaire +1 more source
Elastic solids with strain-gradient elastic boundary surfaces
Journal of Elasticity, 2023 Abstract Recent works have shown that in contrast to classical linear elastic fracture mechanics, endowing crack fronts in a brittle solid with Steigmann-Ogden surface elasticity yields a model that predicts bounded strains at the crack tips for plane-strain problems. However, a logarithmic singularity is still present in general for anti-plane
openaire +3 more sources
Continuum Mechanics and Thermodynamics, 2022 In this paper, the reduced strain gradient elasticity model with two characteristic lengths is proposed and presented. The reduced strain gradient elasticity model is a particular case of Mindlin’s first strain gradient elasticity theory with a reduced ...
M. Lazar
semanticscholar +1 more source
Size-Dependent Buckling Analysis of Microbeams by an Analytical Solution and Isogeometric Analysis
Crystals, 2022 This paper proposes an analytical solution and isogeometric analysis numerical approach for buckling analysis of size-dependent beams based on a reformulated strain gradient elasticity theory (RSGET).
Shuohui Yin +4 more
doaj +1 more source
Theory and computation of higher gradient elasticity theories based on action principles [PDF]
, 2017 In continuum mechanics, there exists a unique theory for elasticity, which includes the first gradient of displacement. The corresponding generalization of elasticity is referred to as strain gradient elasticity or higher gradient theories, where the ...
Abali, B. Emek +2 more
core +3 more sources