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

Surface viscoelasticity and effective properties of thin-walled structures at the nanoscale
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DOI:
10.1016/j.ijengsci.2012.03.004
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发表时间:
2012-10
影响因子:
6.6
通讯作者:
H. Altenbach;V. Eremeyev;N. Morozov
H. Altenbach;V. Eremeyev;N. Morozov
中科院分区:
工程技术1区
文献类型:
--
作者:
H. Altenbach;V. Eremeyev;N. Morozov

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我们讨论了表面粘弹性效应对材料的有效性质,如板壳的有效弯曲刚度的影响。表面附近的粘弹性性质可以不同于块状材料的性质。这种差异会影响纳米结构元素的行为。特别是,表面粘弹性应力是纳米结构尺寸相关耗散的原因。利用Gurtin-Murdoch模型的推广和线粘弹性对应原理,导出了剪切变形板壳的应力和偶应力合成张量的表达式。
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.