On Symmetrical and Antisymmetrical Buckling of a Plate with Circular Nanohole under Uniaxial Tension

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5 Citations (Scopus)

Abstract

The influence of the surface stress on the local buckling of an infinite plate with a circular nanohole under the uniaxial remote tension is investigated. The critical (Euler) load corresponding to the buckling is sought by the Ritz method in framework of the linearized Karman set of equations under the symmetrical and antisymmetrical form of the deflection. Numerical calculations are performed for different elastic properties of the surface. It is shown that taking into account the surface stress decreases the critical load in both cases and the symmetrical form of buckling occurs before the antisymmetrical one.
Original languageEnglish
Pages (from-to)125-128
JournalApplied Mathematical Sciences
Volume9
Issue number125
DOIs
Publication statusPublished - 2015

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Buckling
Ritz Method
Critical Load
Elastic Properties
Deflection
Numerical Calculation
Euler
Loads (forces)
Decrease
Form

Cite this

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title = "On Symmetrical and Antisymmetrical Buckling of a Plate with Circular Nanohole under Uniaxial Tension",
abstract = "The influence of the surface stress on the local buckling of an infinite plate with a circular nanohole under the uniaxial remote tension is investigated. The critical (Euler) load corresponding to the buckling is sought by the Ritz method in framework of the linearized Karman set of equations under the symmetrical and antisymmetrical form of the deflection. Numerical calculations are performed for different elastic properties of the surface. It is shown that taking into account the surface stress decreases the critical load in both cases and the symmetrical form of buckling occurs before the antisymmetrical one.",
keywords = "circular hole in plate, surface stress, local buckling, critical load, size effect",
author = "A. Bochkarev and M. Grekov",
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doi = "10.12988/ams.2015.58542",
language = "English",
volume = "9",
pages = "125--128",
journal = "Applied Mathematical Sciences",
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T1 - On Symmetrical and Antisymmetrical Buckling of a Plate with Circular Nanohole under Uniaxial Tension

AU - Bochkarev, A.

AU - Grekov, M.

PY - 2015

Y1 - 2015

N2 - The influence of the surface stress on the local buckling of an infinite plate with a circular nanohole under the uniaxial remote tension is investigated. The critical (Euler) load corresponding to the buckling is sought by the Ritz method in framework of the linearized Karman set of equations under the symmetrical and antisymmetrical form of the deflection. Numerical calculations are performed for different elastic properties of the surface. It is shown that taking into account the surface stress decreases the critical load in both cases and the symmetrical form of buckling occurs before the antisymmetrical one.

AB - The influence of the surface stress on the local buckling of an infinite plate with a circular nanohole under the uniaxial remote tension is investigated. The critical (Euler) load corresponding to the buckling is sought by the Ritz method in framework of the linearized Karman set of equations under the symmetrical and antisymmetrical form of the deflection. Numerical calculations are performed for different elastic properties of the surface. It is shown that taking into account the surface stress decreases the critical load in both cases and the symmetrical form of buckling occurs before the antisymmetrical one.

KW - circular hole in plate

KW - surface stress

KW - local buckling

KW - critical load

KW - size effect

U2 - 10.12988/ams.2015.58542

DO - 10.12988/ams.2015.58542

M3 - Article

VL - 9

SP - 125

EP - 128

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

SN - 1312-885X

IS - 125

ER -