Results 211 to 220 of about 29,210 (259)

Structural Analysis in the Problems of Gradient Elasticity

Lobachevskii Journal of Mathematics, 2023
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Elasticity with Gradient-Disarrangements: A Multiscale Perspective for Strain-Gradient Theories of Elasticity and of Plasticity

Journal of Elasticity, 2016
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Experiments and theory in strain gradient elasticity

Journal of the Mechanics and Physics of Solids, 2003
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Lam, David C C, Yang, Fan, Chong, Arthur C.M., Wang, Jianxun, Tong, Pin   +4 more
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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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Nonlinear Elasticity Registration and Sobolev Gradients

2010
We propose Mooney-Rivlin (MR) nonlinear elasticity of hyperelastic materials and numerical algorithms for image registration in the presence of landmarks and large deformation. An auxiliary variable is introduced to remove the nonlinearity in the derivatives of Euler-Lagrange equations.
Tungyou Lin, Ivo D. Dinov, Arthur W. Toga, Luminita A. Vese   +3 more
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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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Generalized Trefftz Method in the Gradient Elasticity Theory

Lobachevskii Journal of Mathematics, 2021
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Volkov-Bogorodskiy, D. B., Moiseev, E. I.   +1 more
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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
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