Results 41 to 50 of about 162,049 (328)
Computer Methods in Applied Mechanics and Engineering, 2021 This article investigates the theoretical and numerical analysis as well as applications of the three-dimensional theory of first strain gradient elasticity.
S. B. Hosseini, J. Niiranen
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Archives of Mechanics, 2017 Many titanium alloys and even materials such as concrete exhibit a nonlinear relationship between strain and stress, when the strain is small enough that the square of the norm of the displacement gradient can be ignored in comparison to the norm of the ...
V. Kulvait, J. Málek, K.R. Rajagopal
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Latin American Journal of Solids and StructuresIn the present paper, a critique study on some models available in the literature for bending analysis of nano-beams using the gradient elasticity theory is accomplished.
Mahmood Mehrdad Shokrieh, Iman Zibaei
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New applications of a generalized Hooke’s law for second gradient materials
Theoretical and Applied Mechanics Letters, 2015 We provide analytical solutions to the problems of a circular bending of a beam in plane strain and the torsion of a non-circular cross-section beam, the beams obeying a second-gradient elasticity law proposed by the author, following a previous ...
K. Enakoutsa
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Crystals, 2022 This paper presents a novel non-classical Timoshenko–Ehrenfest beam model based on a reformulated strain gradient elasticity theory. The strain gradient effect, couple stress effect, and velocity gradient effect for vibration are included in the new ...
Shuohui Yin +4 more
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Modulated linear dynamics of nanobeams accounting for higher gradient effects [PDF]
, 2016 We present some numerical results for the linear dynamics of nanobeams modulated by an axial force, basing on a recent proposal of literature that encompasses both the standard nonlocal elasticity, according to Eringen, and second-order strain ...
Abbondanza, Dario +7 more
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Mathematics and mechanics of solids, 2021 We provide the proof of an existence and uniqueness theorem for weak solutions of the equilibrium problem in linear dilatational strain gradient elasticity for bodies occupying, in the reference configuration, Lipschitz domains with edges. The considered
V. Eremeyev, F. dell’Isola
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Cracks in Strain Gradient Elasticity-distributed Dislocation Technique
Procedia Materials Science, 2014 AbstractThe mode III fracture analysis of graded cracked plane in the framework of classical and strain gradient elasticity is presented in this work. Solutions to the problem of screw dislocation in plane are available for classical and strain gradient elasticity theories.
Mousavi, Seyed Mahmoud +3 more
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, 2005 The aim of this paper is to study the elastic stress and strain fields of dislocations and disclinations in the framework of Mindlin's gradient elasticity.
Lazar, Markus, Maugin, Gerard A.
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Hyperelastic cloaking theory: Transformation elasticity with pre-stressed solids
, 2012 Transformation elasticity, by analogy with transformation acoustics and optics, converts material domains without altering wave properties, thereby enabling cloaking and related effects.
Cosserat E. +5 more
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