Results 241 to 250 of about 147,870 (281)

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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Finite Third-order Gradient Elasticity and Thermoelasticity

Journal of Elasticity, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Reiher, Jörg Christian, Bertram, Albrecht   +1 more
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Elastic dielectrics with polarization gradient

International Journal of Engineering Science, 1969
Abstract The internal energy of elastic dielectrics is assumed to depend on polarization gradients in addition to deformation gradients and polarization. The field equation, jump conditions and constitutive equations are obtained by a variational principle.
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Computational Evaluation of Strain Gradient Elasticity Constants

International Journal for Multiscale Computational Engineering, 2004
Classical effective descriptions of heterogeneous materials fail to capture the influence of the spatial scale of the heterogeneity on the overall response of components. This influence may become important when the scale at which the effective continuum fields vary approaches that of the microstructure of the material and may then give rise to size ...
Peerlings, R.H.J., Fleck, N.A.
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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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Finite Gradient Elasticity and Plasticity

2020
Within the range of finite deformations, material laws have to fulfil certain invariance requirements. If we assume invariance under rigid body modifications, it is generally recommended to use material variables because of their invariance property, i.e. those which are defined in the reference placement.
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Fractional derivatives and strain gradient elasticity

Acta Mechanica, 2015
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Lazopoulos, K. A., Lazopoulos, A. K.
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Symmetry conditions in strain gradient elasticity

Mathematics and Mechanics of Solids, 2015
We study the variational significance of the “order-of-differentiation” symmetry condition of strain gradient elasticity. This symmetry condition stems from the fact that in strain gradient elasticity, one can interchange the order of differentiation in the components of the second displacement gradient tensor.
Andrei A Gusev, Sergey A Lurie
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Gradient elasticity for disclinated micro crystals

Mechanics Research Communications, 2018
Abstract This article, dedicated to the memory of Gerard Maugin, can be considered as an outgrowth of a series of papers on gradient elasticity jointly published by him, the third author and their collaborators. It focuses on the use of nonsingular solutions for describing stress relaxation in disclinated microcrystals (DMCs) of pentagonal symmetry ...
Ioannis Tsagrakis, Igor S. Yasnikov, Elias C. Aifantis   +2 more
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Elasticity with Gradient-Disarrangements: A Multiscale Perspective for Strain-Gradient Theories of Elasticity and of Plasticity

Journal of Elasticity, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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