Dificultades sintácticas y lectura

Blanche-Benveniste, Claire

doi:10.1174/021037000760088071

Cited by 12 publications

(14 citation statements)

References 1 publication

(1 reference statement)

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“…More contact problems in auxetic materials and structures have been considered in some papers (see Refs. [47][48][49][50][51][52] ). Gatt et al [52] concluded that one of the most problematic effects of stent use is contact with a foreign body.…”

Section: Introductionmentioning

confidence: 99%

Finite Element Analysis of the Influence of the Covering Auxetic Layer of Plate on the Contact Pressure

Stręk

Matuszewska

Jopek

2017

Physica Status Solidi (b)

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The contact problem between two bodies: plate and semi‐cylindrical bar is studied in this paper. The analysis concerns the contact pressure distribution along the contact region, as well as the deflection of the plate. Furthermore, the case of a composite plate covered with the auxetic layer is also considered. The influence of the Poisson's ratio of the layer on the behavior of the plate is studied. The contact pressure distribution along the contact area is analyzed using finite element analysis.

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Section: Introductionmentioning

confidence: 99%

Finite Element Analysis of the Influence of the Covering Auxetic Layer of Plate on the Contact Pressure

Stręk

Matuszewska

Jopek

2017

Physica Status Solidi (b)

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“…and references therein. Methods for obtaining effective properties for materials that contain energetic surfaces have been developed recently using analytical homogenization [48][49][50][51][52].…”

Section: Introductionmentioning

confidence: 99%

Computational homogenization of nano‐materials accounting for size effects via surface elasticity

et al. 2015

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The objective of this contribution is to establish a first-order computational homogenization framework for micro-to-macro transitions of porous media that accounts for the size effects through the consideration of surface elasticity at the microscale. Although the classical (firstorder) homogenization schemes are well established, they are not capable of capturing the well-known size effects in nano-porous materials. In this contribution we introduce surface elasticity as a remedy to account for size effects within a first-order homogenization scheme. This proposition is based on the fact that surfaces are no longer negligible at small scales.Following a standard first-order homogenization ansatz on the microscopic motion in terms of the macroscopic motion, a Hill-type averaging condition is used to link the two scales. The averaging theorems are revisited and generalized to account for surfaces. In the absence of surface energy this generalized framework reduces to classical homogenization. The influence of the length scale is elucidated via a series of numerical examples performed using the finite element method. The numerical results are compared against the analytical ones at small strains for tetragonal and hexagonal microstructures. Furthermore, numerical results at small strains are compared with those at finite strains for both microstructures. Finally, it is shown that there exists an upper bound for the material response of nano-porous media. This finding surprisingly restricts the notion of "smaller is stronger".

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“…Based on Benveniste's formula of Mori-Tanaka method [34], and after a simple deduction, the incremental constitutive relation of composite is given as…”

Section: The Incremental Mori-tanaka Formulamentioning

confidence: 99%