Results 71 to 80 of about 429 (115)

Edge dislocation in gradient elasticity

Scripta Materialia, 1997
The present paper is a natural continuation of the authors` previous work where they have considered the screw dislocation in gradient elasticity. They consider two dislocation configurations: a separate edge dislocation and a dipole of edge dislocations.
M.Yu. Gutkin, E.C. Aifantis
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Finite elements for elasticity with microstructure and gradient elasticity

International Journal for Numerical Methods in Engineering, 2007
AbstractWe present a general finite element discretization of Mindlin's elasticity with microstructure. A total of 12 isoparametric elements are developed and presented, six for plane strain conditions and six for the general case of three‐dimensional deformation. All elements interpolate both the displacement and microdeformation fields.
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Dislocations in gradient elasticity revisited

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2006
In this paper, we consider dislocations in the framework of first as well as second gradient theory of elasticity. Using the Fourier transform, rigorous analytical solutions of the two-dimensional bi-Helmholtz and Helmholtz equations are derived in closed form for the displacement, elastic distortion, plastic distortion and dislocation density of screw
Lazar, Markus, Maugin, Gérard A.
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Generalized Trefftz Method in the Gradient Elasticity Theory

Lobachevskii Journal of Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Volkov-Bogorodskiy, D. B., Moiseev, E. I.   +1 more
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Dislocations and Disclinations in Gradient Elasticity

physica status solidi (b), 1999
A special gradient theory of clasticity is employed to consider dislocations and disclinations with emphasis on the elimination of strain singularities appearing in the classical theory of elasticity. For dislocations, we give a briel summary of our earlier results pertaining to non-singular expressions for the elastic strains, as well as new results ...
M.Yu. Gutkin, E.C. Aifantis
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Fracture in strain gradient elasticity

Metals and Materials, 1998
Recent experiments have shown that the microscale material behavior is very different from that of bulk materials, and displays strong size effects when the characteristic length associated with the deformation is on the order of microns. Conventional continuum theories, however, can not predict this size dependence because they do not have an ...
K. C. Hwang, T. F. Cuo, Y. Huang, J. Y. Chen   +3 more
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On Constraints for Displacement Gradients in Elastic Materials

International Applied Mechanics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized Eshelby Problem in the Gradient Theory of Elasticity

Lobachevskii Journal of Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Volkov-Bogorodskiy, D. B., Moiseev, E. I.   +1 more
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Gradient-elastic tensor in aluminium

Solid State Communications, 1974
Abstract The gradient-elastic tensor relating the electric field gradient tensor at the given nucleus to the elastic stress tensor was determined for aluminium to C 11 = 4·10 3 dyn −1 2 and C 44 = −6.7·10 3 dyn −1 2 The comparison of the measured values with the point charge ...
O. Kanert, K. Preusser
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Polarization gradient in elastic dielectrics

International Journal of Solids and Structures, 1968
Abstract By inclusion of the polarization gradient in the stored energy function of elastic dielectrics, the classical theory of piezoelectricity is extended to accommodate an electro-mechanical interaction in centrosymmetric (including isotropic) materials and a surface energy of deformation and polarization.
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