Effects of surface residual stress and surface elasticity on the overall yield surfaces of nanoporous materials with cylindrical nanovoids

Moshtaghin, Alireza Farajzadeh; Naghdabadi, R.; Asghari, Mohsen

doi:10.1016/j.mechmat.2012.04.001

Cited by 19 publications

(3 citation statements)

References 31 publications

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“…It is obvious that the cantilevered nanobeam shows a softening behavior in contrast to the stiffening one of a fixed-fixed nanobeam when the characteristic length decreases, the height of the nanobeam in this case. Such a softening behavior of a cantilevered nanobeam has also been observed in many other studies [10,11,23,46]. The deflection curvature of a cantilevered nanobeam under a concentrated force at the free end should be responsible for the softening behavior, which leads to the component of the surface-induced traction with the same direction as that of the external load.…”

Section: The Case Of a Cantilevered Nanobeamsupporting

confidence: 75%

Size effect in the bending of a Timoshenko nanobeam

et al. 2017

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The size effect should be considered due to the large ratio of surface area to volume when the characteristic length of a beam lies in the nanoscale. The size effect in the bending of a Timoshenko nanobeam is investigated in this paper based on a recently developed elastic theory for nanomaterials, in which only the bulk surface energy density and the surface relaxation parameter are involved as independent parameters to characterize the surface property of nanomaterials. In contrast to the Euler nanobeams and the classical Timoshenko beam, not only the size effect but also the shear deformation effect in Timoshenko nanobeams is included. Closed-form solutions of the deflection and the effective elastic modulus for both a fixed-fixed Timoshenko nanobeam and a cantilevered one are achieved. Comparing to the classical solution of Timoshenko beams, the size effect is obviously significant in Timoshenko nanobeams. The shear deformation effect in nanobeams cannot be neglected in contrast to the solution of Euler-Bernoulli nanobeams when the aspect ratio of a nanobeam is relatively small. Furthermore, the size effect exhibits different influences on the bending behavior of nanobeams with different boundary conditions. A nanobeam with a fixed-fixed boundary would be stiffened, while a cantilevered one is softened by the size effect, compared to the classical solution. All the findings are consistent with the existing experimental measurement. The results in this paper should be very useful for the precision design of nanobeam-based devices.

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Section: The Case Of a Cantilevered Nanobeamsupporting

confidence: 75%

Size effect in the bending of a Timoshenko nanobeam

et al. 2017

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“…This has been done by Goudarzi et al (2010), Moshtaghin, Naghdabadi, and Asghari (2008), Zhang and Wang (2007) and Chen (2008, 2010) and has led in general to elliptic criterion predicting not only nanovoids size effects but also a dependence of surface elastic properties. It must be emphasized that this last dependency seems to be very questionable and not compatible with well known results of the limit analysis theory.…”

Section: Introductionmentioning

confidence: 99%

Non linear homogenization approach of strength of nanoporous materials with interface effects

Dormieux

Kondo

2013

International Journal of Engineering Science

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“…Tang and Yu [2] adopted a finite element method to predict the initial yielding surface of heterogeneous materials with realistic microstructures. Moshtaghin et al [3] constructed a micromechanical method to investigate the effects of surface residual stress as well as surface elasticity on the overall yield strength of nanoporous metal matrices containing aligned cylindrical nanovoids. Acton and Graham [4,5] used a moving window Generalized Method of Cells to approximate a yield surface.…”

Section: Introductionmentioning

confidence: 99%

Biaxial Yield Surface Investigation of Polymer-Matrix Composites

Qiu

Zhai

et al. 2013

Sensors

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This article presents a numerical technique for computing the biaxial yield surface of polymer-matrix composites with a given microstructure. Generalized Method of Cells in combination with an Improved Bodner-Partom Viscoplastic model is used to compute the inelastic deformation. The validation of presented model is proved by a fiber Bragg gratings (FBGs) strain test system through uniaxial testing under two different strain rate conditions. On this basis, the manufacturing process thermal residual stress and strain rate effect on the biaxial yield surface of composites are considered. The results show that the effect of thermal residual stress on the biaxial yield response is closely dependent on loading conditions. Moreover, biaxial yield strength tends to increase with the increasing strain rate.

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Effects of surface residual stress and surface elasticity on the overall yield surfaces of nanoporous materials with cylindrical nanovoids

Cited by 19 publications

References 31 publications

Size effect in the bending of a Timoshenko nanobeam

Size effect in the bending of a Timoshenko nanobeam

Non linear homogenization approach of strength of nanoporous materials with interface effects

Biaxial Yield Surface Investigation of Polymer-Matrix Composites

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