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Toward fractional gradient elasticity [PDF]
Journal of the Mechanical Behavior of Materials, 2014 The use of an extension of gradient elasticity through the inclusion of spatial derivatives of fractional order to describe the power law type of non-locality is discussed. Two phenomenological possibilities are explored. The first is based on the Caputo
Tarasov Vasily E., Aifantis Elias C.
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Non-Conventional Thermodynamics and Models of Gradient Elasticity [PDF]
Entropy, 2018 We consider material bodies exhibiting a response function for free energy, which depends on both the strain and its gradient. Toupin–Mindlin’s gradient elasticity is characterized by Cauchy stress tensors, which are given by space-like Euler–Lagrange ...
Hans-Dieter Alber +3 more
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A Proposition for a "Self-Consistent" Gradient Elasticity [PDF]
Journal of the Mechanical Behavior of Materials, 2009 The notion of “self-consistent” boundary conditions in gradient elasticity is explored. They are introduced in the place of the “standard” boundary conditions commonly used in the formulation of gradient elasticity problems derived through corresponding variational principles.
Efremidis, G. +2 more
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Gradient elasticity applied to a crack [PDF]
Journal of the Mechanical Behavior of Materials, 2013 The aim of this paper is to investigate the stress and the displacement field of a crack within a robust version of gradient elasticity, focusing at the standard Mode I, II, III problems.
Konstantopoulos Iason, Aifantis Elias
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On gradient field theories: gradient magnetostatics and gradient elasticity [PDF]
Philosophical Magazine, 2014 40 pages, to appear in: Philosophical ...
Markus Lazar
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Second Law of Thermodynamics and Strain Gradient Theories of Elasticity [PDF]
EntropyThe 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
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A new gradient elasticity model for the elastic boreholes [PDF]
IOP Conference Series: Earth and Environmental Science, 2021 Abstract A new gradient elasticity model is employed to discuss strain gradient effects and its ability in predicting size effects on an elastic rock mass with microstructure, around an axisymmetric borehole under internal pressure and remote isotropic compressive stress.
G Efremidis, I Tsagrakis
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Gradient-enriched linear-elastic tip stresses to perform the highcycle fatigue assessment of notched plain concrete [PDF]
Fracture and Structural Integrity, 2015 Gradient Elasticity (GE) allows the stress analysis to be performed by taking into account the size of the dominant source of microstructural heterogeneity via a suitable length scale parameter.
C. Bagni, H. Askes, L. Susmel
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Gradient elasticity solutions of 2D nano-beams
Applications in Engineering Science, 2023 In this study, the exact analytical solutions of a two-dimensional linear homogeneous isotropic nano-beam in gradient elasticity are studied. Four different types of two-dimensional cantilever beams and related boundary conditions are considered.
Teoman Özer
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Gradient Elasticity with Interfaces as Surfaces of Discontinuity for the Strain Gradient
Journal of the Mechanical Behavior of Materials, 2007 Aifantis, K.E., Askes, H.
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