A Ritz type solution with exponential trial functions for laminated composite beams based on the modified couple stress theory

This paper proposes novel Ritz functions for the size-dependent analysis of micro laminated composite beams with arbitrary lay-ups. Displacement field is based on a higher-order deformation beam theory and size effect is captured by the modified couple stress theory. Lagrange’s equations are used to...

Full description

Saved in:
Bibliographic Details
Published in:Composite structures 2018-05, Vol.191, p.154-167
Main Authors: Nguyen, Ngoc-Duong, Nguyen, Trung-Kien, Thai, Huu-Tai, Vo, Thuc P.
Format: Article
Language:English
Subjects:
Bending
Buckling
Micro composite beams
Ritz method
Size-dependent behaviour
Vibration
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper proposes novel Ritz functions for the size-dependent analysis of micro laminated composite beams with arbitrary lay-ups. Displacement field is based on a higher-order deformation beam theory and size effect is captured by the modified couple stress theory. Lagrange’s equations are used to obtain the governing equations of motion. The present beam model, which can recover the classical one by neglecting the material length scale parameter, is used to predict the size-dependent responses of micro composite beams. The results indicate that the present study is efficient for bending, vibration and buckling problems of micro composite beams. Some new results are given to serve as benchmarks for future studies.
ISSN:0263-8223
1879-1085
DOI:10.1016/j.compstruct.2018.02.025