Results 31 to 40 of about 16,360 (294)
A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity
Advances in Applied Mathematics and Mechanics, 2021 We propose a family of nonconforming rectangular elements for the linear strain gradient elastic model. Optimal error estimates uniformly with respect to the small material parameter have been proved. Numerical results confirm the theoretical prediction.
Liao, Yulei, Ming, Pingbing
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Nonlinear flexure mechanics of beams: stress gradient and nonlocal integral theory
Materials Research Express, 2021 In order to study the intrinsic size-effects, the stress gradient theory is implemented to a nano-scale beam model in nonlinear flexure. The nonlocal integral elasticity model is considered as a suitable counterpart to examine the softening behavior of ...
Mahdad Fazlali +2 more
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Computational structural mechanics within strain gradient elasticity: mathematical formulations and isogeometric analysis for metamaterial design [PDF]
, 2018 The dissertation studies the majority of the most relevant and widespread physico-mathematical models of structural mechanics within the theory of strain gradient elasticity: gradient-elastic bars, beams, two- and three-dimensional solids and shells ...
Balobanov, Viacheslav
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Tailoring Exciton Dynamics by Elastic Strain‐Gradient in Semiconductors [PDF]
Advanced Materials, 2014 In purely bent ZnO microwires, the excitons can be effectively driven and concentrated by the elastic strain-gradient towards the tensile outer side of the purely bent wire. Experimental and theoretical approaches are combined to investigate the dynamics of excitons in an inhomogeneous strain field with a uniform elastic strain-gradient ...
Xuewen, Fu +11 more
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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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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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Four simplified gradient elasticity models for the simulation of dispersive wave propagation
, 2008 Gradient elasticity theories can be used to simulate dispersive wave propagation as it occurs in heterogeneous materials. Compared to the second-order partial differential equations of classical elasticity, in its most general format gradient elasticity ...
Pichugin, AV +7 more
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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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A continuous/discontinuous Galerkin formulation for a strain gradient-dependent damage model
, 2004 The numerical solution of strain gradient-dependent continuum problems has been hindered by continuity demands on the basis functions. The presence of terms in constitutive models that involve gradients of the strain field means that the $C^0$ continuity
G. N. Wells +2 more
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