Publishing House SB RAS:

Publishing House SB RAS:

Address of the Publishing House SB RAS:
Morskoy pr. 2, 630090 Novosibirsk, Russia



Advanced Search

Journal of Applied Mechanics and Technical Physics

2017 year, number 4

Buckling and Postbuckling of Size-Dependent Cracked Microbeams Based on a Modified Couple Stress Theory

M. Akbarzadeh Khorshidi, M. Shariati
Ferdowsi University of Mashhad, Mashhad, Iran
Keywords: потеря устойчивости, закритическое деформирование, микробалка с трещиной, моментная теория упругости, характерный линейный размер, buckling, postbuckling, cracked microbeam, couple stress theory, size effect

Abstract

The elastic buckling analysis and the static postbuckling response of the Euler-Bernoulli microbeams containing an open edge crack are studied based on a modified couple stress theory. The cracked section is modeled by a massless elastic rotational spring. This model contains a material length scale parameter and can capture the size effect. The von Karman nonlinearity is applied to display the postbuckling behavior. Analytical solutions of a critical buckling load and the postbuckling response are presented for simply supported cracked microbeams. This parametric study indicates the effects of the crack location, crack severity, and length scale parameter on the buckling and postbuckling behaviors of cracked microbeams.