A review of continuum mechanics models for size-dependent analysis of beams and plates

Huu-Tai Thai, Thuc Vo, Trung-Kien Nguyen, Seung-Eock Kim

Research output: Contribution to journalArticlepeer-review

161 Citations (Scopus)
158 Downloads (Pure)

Abstract

This paper presents a comprehensive review on the development of higher-order continuum models for capturing size effects in small-scale structures. The review is mainly focused on the size-dependent beam, plate and shell models developed based on the nonlocal elasticity theory, modified couple stress theory and strain gradient theory due to their common use in predicting the global behaviour of small-scale structures. In each higher-order continuum theory, various size-dependent models based on the classical theory, first-order shear deformation theory and higher-order shear deformation theory were reviewed and discussed. In addition, the development of finite element solutions for size-dependent analysis of beams and plates was also highlighted. Finally a summary and recommendations for future research are presented. It is hoped that this review paper will provide current knowledge on the development of higher-order continuum models and inspire further applications of these models in predicting the behaviour of micro- and nano-structures.
Original languageEnglish
Pages (from-to)196-219
JournalComposite Structures
Volume177
Early online date27 Jun 2017
DOIs
Publication statusPublished - 1 Oct 2017

Fingerprint Dive into the research topics of 'A review of continuum mechanics models for size-dependent analysis of beams and plates'. Together they form a unique fingerprint.

Cite this