The Green tensor of Mindlin's anisotropic first strain gradient elasticity
, 2019 We derive the Green tensor of Mindlin's anisotropic first strain gradient elasticity. The Green tensor is valid for arbitrary anisotropic materials, with up to 21 elastic constants and 171 gradient elastic constants in the general case of triclinic media.
Admal, Nikhil Chandra +2 more
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A reformulation of strain gradient plasticity [PDF]
Journal of the Mechanics and Physics of Solids, 2001 A class of phenomenological strain gradient plasticity theories is formulated to accommodate more than one material length parameter. The objective is a generalization of the classical J2 3ow theory of plasticity to account for strain gradient e4ects that emerge in deformation phenomena at the micron scale.
John W. Hutchinson, Norman A. Fleck
openaire +2 more sources
A rate-independent model for geomaterials under compression coupling strain gradient plasticity and damage [PDF]
arXiv, 2023 We study a strain gradient-enhanced version of a model for geomaterials under compression by Marigo and Kazymyrenko (2019) coupling damage and small-strain associative plasticity. We prove that the jumps in time of the plastic variable may happen only along jumps of the damage variable.
arxiv
On Dislocations in a Special Class of Generalized Elasticity
, 2005 In this paper we consider and compare special classes of static theories of gradient elasticity, nonlocal elasticity, gradient micropolar elasticity and nonlocal micropolar elasticity with only one gradient coefficient.
Aifantis +51 more
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Infeasibility of the nonlocal strain gradient theory for applied Physics [PDF]
arXiv, 2017 In this communication, the feasibility of the nonlocal strain gradient theory for fields of applied mechanics is investigated. It is demonstrated that the nonlocal strain gradient theory is physically incorrect. It is proved that each of the nonlocal theory and the strain gradient theory can model, both, hardening and softening behaviors of materials ...
arxiv
Small compressive strain induced semiconductor-metal transition and tensile strain enhanced thermoelectric properties in monolayer $\mathrm{PtTe_2}$ [PDF]
, 2016 Biaxial strain effects on electronic structures and thermoelectric properties of monolayer $\mathrm{PtTe_2}$ are investigated by using generalized gradient approximation (GGA) plus spin-orbit coupling (SOC) for the electron part and GGA for the phonon part.
arxiv +1 more source
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
An observation on the experimental measurement of dislocation density
, 2013 The common practice of ignoring the elastic strain gradient in measurements of geometrically necessary dislocation (GND) density is critically examined. It is concluded that the practice may result in substantial errors.
Acharya, Amit, Knops, Robin J.
core +3 more sources
Primary resonance of an Euler-Bernoulli nano-beam modelled with second strain gradient [PDF]
Journal of Theoretical and Applied Vibration and Acoustics, 2019 In the present manuscript, the second strain gradient (SSG) is utilized to investigate the primary resonance of a nonlinear Euler-Bernoulli nanobeam is analyzed in this paper for the first time.
Hossein Mohammadi, Soroush Sepehri
doaj +1 more source
Anisotropic and dispersive wave propagation within strain-gradient framework
, 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