Results 221 to 230 of about 29,210 (259)

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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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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Finite Third-order Gradient Elasticity and Thermoelasticity

Journal of Elasticity, 2018
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Reiher, Jörg Christian, Bertram, Albrecht   +1 more
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Global Continuation in Second-Gradient Nonlinear Elasticity

SIAM Journal on Mathematical Analysis, 2006
We consider three-dimensional elastic bodies characterized by a general class of stored-energy functions dependent upon the first and second gradients of the deformation. We assume that the dependence on the higher-order term ensures strong ellipticity. With only modest assumptions on the lower-order term, we use the Leray--Schauder degree to prove the
Anita Mareno, Timothy J. Healey
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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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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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On causality of the gradient elasticity models

Journal of Sound and Vibration, 2006
Abstract This paper is concerned with causality of the gradient elasticity models of heterogeneous materials. As a rule, these models are not strictly causal since they allow an infinite speed of energy transfer by means of either propagating or transient evanescent waves.
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A mixed variational framework for higher-order unified gradient elasticity

International Journal of Engineering Science, 2022
S Ali Faghidian, Krzysztof Kamil Zur, J N Reddy   +2 more
exaly