Nonlinear Mechanics of Microstructures

Ali Farajpour; Mergen H Ghayesh; Hamed Farokhi

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Nonlinear Mechanics of Microstructures

Ali Farajpour¹, Mergen H Ghayesh¹ and Hamed Farokhi²*

¹Department of Mechanical Engineering, University of Adelaide, Australia

²Department of Mechanical and Construction Engineering, Northumbria University, UK

Corresponding Author

Received Date: February 12, 2019; Published Date: February 21, 2019

Abstract

In this paper, a brief review is presented on the influence of nonlinearity on the mechanics of microscale structures. The constitutive equations of size-dependent elasticity-based theories such as the couple stress are presented. The linear size-dependent elasticity-based models of microscale structures are discussed. Furthermore, the effects of different types of nonlinearity on the static stability, oscillation and static deformation of microscale structures are reviewed.

Keywords: Microstructures; Modified elasticity; Geometrical nonlinearity; Size effects

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