Weak Solutions within the Gradient-Incomplete Strain-Gradient Elasticity
, 2020 In this paper we consider existence and uniqueness of the three-dimensional static boundary-value problems in the framework of so-called gradient-incomplete strain-gradient elasticity. We call the strain-gradient elasticity model gradient-incomplete such
Eremeyev V. A., dell'Isola F.
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Distributed non-singular dislocation technique for cracks in strain gradient elasticity
Journal of the Mechanical Behavior of Materials, 2014 The mode III fracture analysis of a cracked graded plane in the framework of classical, first strain gradient, and second strain gradient elasticity is presented in this paper.
Mousavi S. Mahmoud +2 more
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Correction to: An improved quadrilateral finite element for nonlinear second-order strain gradient elastic Kirchhoff plates [PDF]
Meccanica, 2020 This article was published with an erroneous version of Eq. 6 and therefore has been corrected.
Bishweshwar Babu, B. P. Patel
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Scale transition and enforcement of RVE boundary conditions in second-order computational homogenization [PDF]
, 2008 Formulation of the scale transition equations coupling the microscopic and macroscopic variables in the second-order computational homogenization of heterogeneous materials and the enforcement of generalized boundary conditions for the representative ...
Bicanic, Nenad +2 more
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Journal of the Mechanical Behavior of Materials, 2013 The modest aim of this short article is to provide some new results for a screw dislocation in a functionally graded material within the theory of gradient elasticity. These results, based on a displacement formulation and the Fourier transform technique,
Davoudi Kamyar M. +2 more
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Self-consistent assessments for the effective properties of two-phase composites within strain gradient elasticity [PDF]
Mechanics of materials (Print), 2021 Analytical method for the second-order homogenization of two-phase composites within Mindlin-Toupin strain gradient elasticity theory is proposed. Direct approach and self-consistent approximation are used to reduce the homogenization problem to the ...
Y. Solyaev
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On the peculiarities of anti-plane surface waves propagation for media with microstructured coating
MATEC Web of Conferences, 2018 We discuss new type of surface waves which exist in elastic media with surface energy. Here we present the model of a coating made of polymeric brush.
Eremeyev Victor A.
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1D HERMITE ELEMENTS FOR C1-CONTINUOUS SOLUTIONS IN SECOND GRADIENT ELASTICITY
Acta Polytechnica CTU Proceedings, 2016 We present a modified strain gradient theory of elasticity for linear isotropic materials in order to account for the so-called size effect. Additional material length scale parameters are introduced and the problem of static beam bending is analyzed.
Christian Liebold, Wolfgang H. Müller
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Strain gradient continuum mechanics: simplified models, variational formulations and isogeometric analysis with applications [PDF]
, 2017 This dissertation is devoted to two families of generalized continuum theories: the first and second strain gradient elasticity theories including the first and second velocity gradient inertia, respectively.
Khakalo, Sergei
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An energy residual-based approach to gradient effects within the mechanics of generalized continua
Journal of the Mechanical Behavior of Materials, 2012 Generalized continua exhibiting gradient effects are addressed through a method grounded on the energy residual (ER)-based gradient theory by the first author and coworkers.
Polizzotto Castrenze, Pisano Aurora A.
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