Gradient Elasticity
Unified finite element methodology for gradient elasticity
... There are two main approaches followed to implement gradient elasticity into a finite element methodology (for a more detailed overview see [1, 2]). The first one comprehends approaches that leave the ...
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Static analysis of rectangular nanoplates using exponential shear deformation theory based on strain gradient elasticity theory
... strain gradient elasticity theory and their size ...strain-gradient elasticity theories developed by Mindlin and co-workers in the 1960s in ...order elasticity constants required in the ...
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Computational aspects of a new multi-scale dispersive gradient elasticity model with micro-inertia
... two gradient contributions [3–5], namely a strain gradient and a micro-inertia term (acceleration ...third gradient contribution, namely an additional micro-inertia term multiplying the fourth-order ...
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A new multi-scale dispersive gradient elasticity modelwith micro-inertia: Formulation and C0-finiteelement implementation
... multi-scale gradient elasticity model is presented that can be used to describe improved dispersion ...three gradient contributions, namely two micro-inertia terms (acceleration gradients) and one ...
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Wave Propagation in Rectangular Nanoplates Based on a New Strain Gradient Elasticity Theory with Considering in-Plane Magnetic Field
... strain gradient elasticity theory with two gradient ...this gradient theory has been used in studying wave propagation in ...as gradient parameters are studied on the frequencies, phase ...
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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 multiaxial ...
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Gradient elasticity and dispersive wave propagation: Model motivation and length scale identification procedures in concrete and composite laminates
... By inspection of Fig. 4 it is seen that, as expected, the laminate with strong impedance mismatch between the two materials, case i), is more dispersive than the laminate with weak contrast, case ii). In both cases it is ...
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Gradient elasticity: a transformative stress analysis tool to design notched components against uniaxial/multiaxial high-cycle fatigue
... of gradient elasticity in estimating high-cycle fatigue strength of notched components subjected to both uniaxial and multiaxial fatigue ...Aifantis’ gradient elasticity with the Theory of ...
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Strain gradient elasticity with geometric nonlinearities and its computational evaluation
... 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 (of rank two ...
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The Green tensor of Mindlin’s anisotropic first strain gradient elasticity
... and gradient theories (Kröner 1963; Mindlin 1964; 1968b; 1972; Mindlin and Eshel ...strain gradient elasticity has received renewed attention as a tool to solve engineering problems at the micro- and ...
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Reducible and irreducible forms of stabilised gradient elasticity in dynamics
... In the literature, there is a lack of consistency in which quantity is denoted as the Cauchy stress in gradient elasticity theories. Some eminent authors have used this term to indicate the derivative of ...
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Determination of dynamic gradient elasticity length scales
... gradient elasticity is the identification of the model length scale ...a gradient elasticity formulation for the modelling of dispersive wave propagation behaviour in composite ...
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Homogenization of heterogeneous Cauchy-elastic materials leads to Mindlin second-gradient elasticity
... Through a second-order homogenization procedure, the explicit relation is obtained between the non-local parameters of a second gradient elastic ma- terial and the microstructure of a composite material. This ...
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Macroscopic modelization of the cloud elasticity*
... SLA is narrowed to two values: upper and lower watermarks on the service time. It’s tempting to reflect a more sophisticated model. However, the simpler is the model, the faster cloud provider will implement. The upper ...
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The Elasticity of Intertemporal Substitution Reconsidered
... The elasticity of intertemporal substitution is a crucial parameter in …nance and macroeconomics, yet its estimation remains elusive. We show, based on Fisher’s relation and the expectations theory of the term ...
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A brief review of elasticity and viscoelasticity
... see elasticity and viscoelasticity arise in response to the fact that the stress-strain relationships can be linear or nonlinear, and because various materials exhibit differing properties under stresses and ...
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Euler Lagrange Elasticity with Dynamics
... of elasticity [1]-[4] build the equations to describe elasticity using stress and/or ...of elasticity using point locations and forces instead of stress and ...Euler-Lagrange elasticity. The ...
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Growth Elasticity of poverty in the globe
... Growth Elasticity of poverty in the globe Das, Kumar B Utkal University, India... et Investment Rs..[r] ...
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The Morishima Gross elasticity of substitution
... alternative elasticity, first formulated by Morishima (1967) (though in- dependently discovered by Blackorby and Russell ...Morishima elasticity of substitution (MES) was shown to be the natural ...
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The elasticity of trade : estimates and evidence
... the elasticity of trade, θ, is closely related to the elasticity of sub- stitution between foreign and domestic goods, the Armington elasticity, which determines the behavior between trade flows and ...
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