Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Analytical study of elastic-plastic longitudinal fracture in a functionally graded beam

Analytical study of elastic-plastic longitudinal fracture in a functionally graded beam The longitudinal fracture in a functionally graded beam configuration was investigated analytically with considering the non-linear material behaviour. It was assumed that the material is functionally graded along the beam width. The mechanical behaviour of beam was modelled by a power-law stress–strain relation. The fracture was analyzed in terms of the strain energy release rate. An analytical solution for the strain energy release rate was derived by considering the beam complimentary strain energy. In order to verify the solution, the strain energy release rate was analyzed also by considering the complimentary strain energy in the beam cross-sections ahead and behind the crack front. The influence of material gradient, beam height and crack location along the beam width on the non-linear longitudinal fracture was investigated. The results obtained may be used for optimization of elastic-plastic functionally graded beams with respect to their fracture behaviour. The present paper contributes for the understanding of longitudinal fracture in functionally graded structures with non-linear material behaviour. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Strength, Fracture and Complexity IOS Press

Analytical study of elastic-plastic longitudinal fracture in a functionally graded beam

Strength, Fracture and Complexity , Volume 10 (1): 12 – Jan 1, 2017

Loading next page...
 
/lp/ios-press/analytical-study-of-elastic-plastic-longitudinal-fracture-in-a-P90NbSstOP

References (18)

Publisher
IOS Press
Copyright
Copyright © 2017 IOS Press and the authors. All rights reserved
ISSN
1567-2069
eISSN
1875-9262
DOI
10.3233/SFC-170197
Publisher site
See Article on Publisher Site

Abstract

The longitudinal fracture in a functionally graded beam configuration was investigated analytically with considering the non-linear material behaviour. It was assumed that the material is functionally graded along the beam width. The mechanical behaviour of beam was modelled by a power-law stress–strain relation. The fracture was analyzed in terms of the strain energy release rate. An analytical solution for the strain energy release rate was derived by considering the beam complimentary strain energy. In order to verify the solution, the strain energy release rate was analyzed also by considering the complimentary strain energy in the beam cross-sections ahead and behind the crack front. The influence of material gradient, beam height and crack location along the beam width on the non-linear longitudinal fracture was investigated. The results obtained may be used for optimization of elastic-plastic functionally graded beams with respect to their fracture behaviour. The present paper contributes for the understanding of longitudinal fracture in functionally graded structures with non-linear material behaviour.

Journal

Strength, Fracture and ComplexityIOS Press

Published: Jan 1, 2017

There are no references for this article.