Surface viscoelasticity and effective properties of thin-walled structures at the nanoscale

被引：77

作者：

Altenbach, Holm ^{[1
]}

Eremeyev, Victor A. ^{[1
,2
,3
]}

Morozov, Nikita F. ^{[4
]}

机构：

[1] Univ Magdeburg, D-39106 Magdeburg, Germany

[2] RASci, S Sci Ctr, Rostov Na Donu, Russia

[3] S Fed Univ, Rostov Na Donu, Russia

[4] St Petersburg State Univ, St Petersburg, Russia

来源：

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2012年 / 59卷

关键词：

Surface stresses; Surface viscoelasticity; Shell; Plate; Constitutive equations; Effective properties; LINEAR-THEORY; PLATES; FILMS; STIFFNESS; STRESSES; TENSION; SHELLS;

D O I：

10.1016/j.ijengsci.2012.03.004

中图分类号：

T [工业技术];

学科分类号：

120111 [工业工程];

摘要：

We discuss the influence of surface viscoelasticity effects on the effective properties of materials such as effective bending stiffness of plates or shells. Viscoelastic properties in the vicinity of the surface can differ from the properties of the bulk material. This difference influences the behavior of nanostructural elements. In particular, the surface viscoelastic stresses are responsible for the size-depended dissipation of nanosized structures. Using the extension of the Gurtin-Murdoch model and the correspondence principle of linear viscoelasticity we derive the expressions of the stress and couple stress resultant tensors for shear deformable plates and shells. (c) 2012 Elsevier Ltd. All rights reserved.

引用

页码：83 / 89

页数：7

共 38 条

[1]

On equations of the linear theory of shells with surface stresses taken into account [J].