Gradient elasticity and material microstructural features
Unified finite element methodology for gradient elasticity
... the features of gradient elasticity is the ability to remove singularities from the stress and strain fields as those emerging in correspondence of crack ...implemented gradient-enriched ...
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Determination of dynamic gradient elasticity length scales
... microstructured material; reflection and refraction of higher frequencies leads to an apparent reduction of the wave speed with ...dynamic gradient elasticity using spectral ...
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Non-Conventional Thermodynamics and Models of Gradient Elasticity
... addresses material bodies complying with a response function for free energy, which depends on both the strain tensor and its ...Usual gradient elasticity theories are of Toupin–Mindlin’s type (see ...
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Reducible and irreducible forms of stabilised gradient elasticity in dynamics
... The material properties are mass density ρ = 1 kg/m 3 , Young’s modulus E = 100 N/m 2 and Poisson’s ratio ν = 1 4 , whilst a plane stress assumption has been ...the gradient elasticity length scale ` ...
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A complete description of bi-dimensional anisotropic strain-gradient elasticity
... where the notation ð. . .Þ stands for the minor symmetries, whereas . . . stands for the major one. In the case where the microstructure of a material exhibits centro-symmetry, the fifth-order elastic stiffness ...
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Strain gradient elasticity with geometric nonlinearities and its computational evaluation
... Conclusion We have briefly outlined strain gradient elasticity from a continuum mechanics perspective. Starting from the balances of momenta we have obtained the so-called stress and couple stress tensors ...
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Dynamic analysis of multi-cracked Euler-Bernoulli beams with gradient elasticity
... hybrid gradient elasticity (HGE) model accounts for the microstructural ...the microstructural effects become significant when the modal wave lengths are less then about forty times the HGE ...
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The problem of sharp notch in microstructured solids governed by dipolar gradient elasticity.
... a gradient elasticity theory (Georgiadis et ...a microstructural parameter (i.e. the so-called gradient coefficient c ) employed in some simple material ...the material is ...
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A stochastic model for elasticity tensors with uncertain material symmetries
... the elasticity tensor C has to be modeled as a random matrix whose probabilistic model must be ...mesoscopic features (see Das and Ghanem, 2009 for an example of such an application, for instance) or ...
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Controls on microstructural features during solidification of colloidal suspensions
... Figure 2: Schematic diagram showing the system we analyse, which sits in a temperature gradient G established by fixed heat exchangers (not shown). At the initial time t = 0, a colloidal suspension of particle ...
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Homogenization of heterogeneous Cauchy-elastic materials leads to Mindlin second-gradient elasticity
... The main goal of this thesis is to provide through an analytical approach the explicit evaluation of the constitutive non-local parameters (length-scales) from the microstructural description. In Chapter 2 the ...
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The Eshelby stress tensor, angular momentum tensor and dilatation flux in gradient elasticity
... Jaunzemis, W., 1967. Continuum Mechanics. MacMillan, New York. Kalpakides, V.K., Agiasofitou, E.K., 2002. On material equations in second gradient electroelasticity. J. Elast. 67, 205–227. Kirchner, H.O.K., ...
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Plane-strain crack problems in microstructured solids governed by dipolar gradient elasticity.
... The material microstructure is modeled through the Toupin-Mindlin generalized continuum theory of dipolar gradient ...classical elasticity) and the gradient of the strain tensor (additional ...
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DISK: Learning local features with policy gradient
... Training data. We use a subset of the MegaDepth dataset [ 19 ], from which we choose 135 scenes with 63k images in total. They are posed with COLMAP, a state-of-the-art SfM framework that also provides dense depth ...
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Microstructural Effects on Diffusion and Mechanical Properties in Different Material Systems
... different material systems like fcc, bcc and hcp metal, metallic glass and engineering ...the material, and the characteristic length scale that’s present in the samples, and has been widely studied and ...
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Role of Microstructural Features in Toughness Improvement of Zirconia Toughened Alumina
... 4. Conclusion In this work, the properties of ZTA have been investigated. It was demonstrated that: 1) a synergistic combina- tion of toughening mechanisms including phase transformation in ZrO 2 particles, crack ...
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Gradient elasticity: a new tool for the multiaxial high-cycle fatigue assessment of notched components
... of gradient elasticity and in particular of the Ru-Aifantis theory in estimating the fatigue strength of components presenting different types of stress concentration features and subjected to ...
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Computational aspects of a new multi-scale dispersive gradient elasticity model with micro-inertia
... L F Figure 6. One-dimensional dynamic bar problem: geometry, loading and boundary conditions In Fig. 7 a series of finite element meshes combined with proportionally scaled time steps are used to investigate the ...
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On concentrated surface loads and green's functions in the toupin-mindlin theory of strain-gradient elasticity.
... of elasticity as well as from the simplified strain-gradient theory, which is frequently utilized in the last decade for the solution of boundary value ...classical elasticity solution, a finite ...
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Direct laser sintering of metal powders: Mechanism, kinetics and microstructural features
... and microstructural evolution during direct laser sintering of metal powders were ...a material dependent parameter that varies with chemical composition, powder particle size, and oxygen content of the ...
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