Timoshenko beam model for buckling of nanowires with high-order surface stresses effects

Min Sen Chiu, Tungyang Chen

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

High-order surface effects can have a significant effect in the mechanical behavior of micro- and nano-sized materials and structures. In the literature the mathematical framework of surface/interface stresses are generally described by generalized Young-Laplace equations based on membrane theory. A refined model of surface stress, counting into surface stresses as well as surface moments, collectively referred to as high-order surface stress, was recently derived by the authors. This framework allows us to simulate the interface between two neighboring media which may have varying in-plane stress through the thickness of the thin membrane. To illustrate surface stress effects, we consider the critical force of axial buckling of nanowires by accounting various degrees of surface stresses. Using the refined Timoshenko beam theory, we incorporate the high-order surface effect in the simulation of axial buckling of nanowires. The results are compared with the solutions based on conventional surface stress model as well as existing experimental data. This study might be helpful to characterize the mechanical properties of nanowires in a wide range of applications.

Original languageEnglish
Title of host publicationFrontier of Nanoscience and Technology II
Pages281-284
Number of pages4
DOIs
Publication statusPublished - 2012 Oct 29
Event2012 International Conference on Frontier of Nanoscience and Technology, ICFNST 2012 - Hong Kong, Hong Kong
Duration: 2012 Jul 262012 Jul 27

Publication series

NameAdvanced Materials Research
Volume528
ISSN (Print)1022-6680

Other

Other2012 International Conference on Frontier of Nanoscience and Technology, ICFNST 2012
CountryHong Kong
CityHong Kong
Period12-07-2612-07-27

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All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Chiu, M. S., & Chen, T. (2012). Timoshenko beam model for buckling of nanowires with high-order surface stresses effects. In Frontier of Nanoscience and Technology II (pp. 281-284). (Advanced Materials Research; Vol. 528). https://doi.org/10.4028/www.scientific.net/AMR.528.281