Influence of Surface Stresses on the Nanoplate Stiffness and Stability in the Kirsch Problem

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Influence of Surface Stresses on the Nanoplate Stiffness and Stability in the Kirsch Problem. / Bochkarev, A. O.; Grekov, M. A.

In: Physical Mesomechanics, Vol. 22, No. 3, 01.05.2019, p. 209-223.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{8a3e1fc8f0274ac7af10120cc92b8407,

title = "Influence of Surface Stresses on the Nanoplate Stiffness and Stability in the Kirsch Problem",

abstract = "A system of von Karman equations for a nanoplate has been generalized by introducing effective tangential and flexural stiffnesses and elastic moduli, with regard to surface elasticity and residual surface stresses on the outer surfaces. A modified Kirsch problem was solved for the case of an infinite nanoplate with a circular hole under plane stress in terms of effective elastic moduli. Two forms of local stability loss in this problem and the corresponding critical load for two different elastic characteristics of all plate surfaces were determined numerically and analytically. The dependence of the effective stiffnesses and elastic moduli on the plate thickness, and of the critical load on the hole radius (size effect) was discussed.",

keywords = "effective stiffnesses and elastic moduli, Kirsch problem, nanoplate, plane stress, size effect, stability, surface stress",

author = "Bochkarev, {A. O.} and Grekov, {M. A.}",

year = "2019",

month = may,

day = "1",

doi = "10.1134/S1029959919030068",

language = "English",

volume = "22",

pages = "209--223",

journal = "Physical Mesomechanics",

issn = "1029-9599",

publisher = "Springer Nature",

number = "3",

}

RIS

TY - JOUR

T1 - Influence of Surface Stresses on the Nanoplate Stiffness and Stability in the Kirsch Problem

AU - Bochkarev, A. O.

AU - Grekov, M. A.

PY - 2019/5/1

Y1 - 2019/5/1

N2 - A system of von Karman equations for a nanoplate has been generalized by introducing effective tangential and flexural stiffnesses and elastic moduli, with regard to surface elasticity and residual surface stresses on the outer surfaces. A modified Kirsch problem was solved for the case of an infinite nanoplate with a circular hole under plane stress in terms of effective elastic moduli. Two forms of local stability loss in this problem and the corresponding critical load for two different elastic characteristics of all plate surfaces were determined numerically and analytically. The dependence of the effective stiffnesses and elastic moduli on the plate thickness, and of the critical load on the hole radius (size effect) was discussed.

AB - A system of von Karman equations for a nanoplate has been generalized by introducing effective tangential and flexural stiffnesses and elastic moduli, with regard to surface elasticity and residual surface stresses on the outer surfaces. A modified Kirsch problem was solved for the case of an infinite nanoplate with a circular hole under plane stress in terms of effective elastic moduli. Two forms of local stability loss in this problem and the corresponding critical load for two different elastic characteristics of all plate surfaces were determined numerically and analytically. The dependence of the effective stiffnesses and elastic moduli on the plate thickness, and of the critical load on the hole radius (size effect) was discussed.

KW - effective stiffnesses and elastic moduli

KW - Kirsch problem

KW - nanoplate

KW - plane stress

KW - size effect

KW - stability

KW - surface stress

UR - http://www.scopus.com/inward/record.url?scp=85067865867&partnerID=8YFLogxK

UR - https://proxy.library.spbu.ru:3693/item.asp?id=41679433

U2 - 10.1134/S1029959919030068

DO - 10.1134/S1029959919030068

M3 - Article

AN - SCOPUS:85067865867

VL - 22

SP - 209

EP - 223

JO - Physical Mesomechanics

JF - Physical Mesomechanics

SN - 1029-9599

IS - 3

ER -

ID: 43514916