Influence of Surface Effects in the Problems of the Theory of Elasticity for Domains Bounded by Non-Concentric Circles

被引：3

作者：

Gandilyan, D. V. ^{[1
]}

Ustinov, K. B. ^{[1
]}

机构：

[1] Russian Acad Sci, Ishlinsky Inst Problems Mech, Moscow 119526, Russia

来源：

MECHANICS OF SOLIDS | 2020年 / 55卷 / 05期

关键词：

surface elasticity; surface stress; bipolar coordinate system; Fourier series; STRESS;

D O I：

10.3103/S0025654420050064

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The article deals with some problems of the theory of elasticity for domains bounded by non-concentric circles by taking into account surface effects such as surface elasticity and surface stresses. The solutions are obtained by expanding variables written in a bipolar coordinate system into Fourier series. The values of surface stresses and stress concentrations that are of our interest are obtained using recurrence relations. The contribution made by surface effects is considered.

引用

页码：679 / 689

页数：11

共 17 条

[1]

Altenbach H., 2009, SHELL STRUCTURES THE

[2]

[Anonymous], 2011, VEST NIZH U LOB

[3] Nanoporous materials can be made stiffer than non-porous counterparts by surface modification [J].

Duan, H. L. ;

Wang, J. ;

Karihaloo, B. L. ;

Huang, Zt. .

ACTA MATERIALIA, 2006, 54 (11) :2983-2990

[4] Eshelby formalism for nano-inhomogeneities [J].

Duan, HL ;

Wang, J ;

Huang, ZP ;

Karihaloo, BL .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2005, 461 (2062) :3335-3353

[5] Effect of residual surface stress and surface elasticity on deformation of nanometer spherical inclusions in an elastic matrix [J].

Goldstein, R. V. ;

Gorodtsov, V. A. ;

Ustinov, K. B. .

PHYSICAL MESOMECHANICS, 2010, 13 (5-6) :318-328

[6] Spherical Inclusion in an Elastic Matrix in the Presence of Eigenstrain, Taking Into Account the Influence of the Properties of the Interface, Considered as the Limit of a Layer of Finite Thickness [J].

Gorodtsov, V. A. ;

Lisovenko, D. S. ;

Ustinov, K. B. .

MECHANICS OF SOLIDS, 2019, 54 (04) :514-522

[7] Investigation of the Physicomechanical Characteristics of Nanoscale Films by Nanoindentation [J].

Grashchenko, A. S. ;

Kukushkin, S. A. ;

Osipov, A. V. ;

Red'kov, A. V. .

MECHANICS OF SOLIDS, 2018, 53 (05) :481-488

[8] The effect of surface elasticity and residual surface stress in an elastic body with an elliptic nanohole [J].

Grekov, M. A. ;

Yazovskaya, A. A. .

PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2014, 78 (02) :172-180

[9]

GURTIN ME, 1975, ARCH RATION MECH AN, V57, P291, DOI 10.1007/BF00261375

[10] The role of surface stress in reconstruction, epitaxial growth and stabilization of mesoscopic structures [J].

Ibach, H .

SURFACE SCIENCE REPORTS, 1997, 29 (5-6) :195-263

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