This communication anticipates some results of a work in progress [1], addressed to explore the efficiency of the diffuse cohesive energy model for describing the phenomena of fracture and yielding. A first local model is partially successful, but fails to reproduce the strain softening regime. A more robust non-local model, obtained by adding an energy term depending on the deformation gradient, describes many typical features of the inelastic response observed in experiments, including strain localization and necking. Fracture occurs as the result of extreme strain localization. The model predicts different fracture modes, brittle and ductile, depending on the analytical form of the cohesive energy function.
Article history
ReceivedUntil the next stage: 0 days
Accepted
How to cite
APA
Del Piero, G., Lancioni, G., & March, R. (2011). The variational theory of fracture: diffuse cohesive energy and elastic-plastic rupture. Fracture and Structural Integrity, 5(18), pages 5–13. https://doi.org/10.3221/IGF-ESIS.18.01
IEEE
G. Del Piero, G. Lancioni, and R. March, “The variational theory of fracture: diffuse cohesive energy and elastic-plastic rupture,” Fracture and Structural Integrity, vol. 5, no. 18, pp. pages 5–13, 2011, doi: 10.3221/IGF-ESIS.18.01.
MLA
Del Piero, Gianpietro, et al. “The variational theory of fracture: diffuse cohesive energy and elastic-plastic rupture.” Fracture and Structural Integrity, vol. 5, no. 18, 2011, pp. pages 5–13. https://doi.org/10.3221/IGF-ESIS.18.01.
Chicago
Del Piero, Gianpietro, Giovanni Lancioni, and Riccardo March. 2011. “The variational theory of fracture: diffuse cohesive energy and elastic-plastic rupture.” Fracture and Structural Integrity 5 (18): pages 5–13. https://doi.org/10.3221/IGF-ESIS.18.01.
Harvard
Del Piero, G., Lancioni, G. and March, R. (2011) ‘The variational theory of fracture: diffuse cohesive energy and elastic-plastic rupture’, Fracture and Structural Integrity, 5(18), pp. pages 5–13. doi: 10.3221/IGF-ESIS.18.01.
Vancouver
Del Piero G, Lancioni G, March R. The variational theory of fracture: diffuse cohesive energy and elastic-plastic rupture. Fracture and Structural Integrity. 2011;5(18):pages 5-13. doi:10.3221/IGF-ESIS.18.01
BibTeX
@article{delpiero2011,
author = {Del Piero, Gianpietro and Lancioni, Giovanni and March, Riccardo},
title = {The variational theory of fracture: diffuse cohesive energy and elastic-plastic rupture},
journal = {Fracture and Structural Integrity},
year = {2011},
volume = {5},
number = {18},
pages = {pages 5--13},
doi = {10.3221/IGF-ESIS.18.01},
url = {https://doi.org/10.3221/IGF-ESIS.18.01},
issn = {1971-8993}
}
RIS
TY - JOUR
AU - Del Piero, Gianpietro
AU - Lancioni, Giovanni
AU - March, Riccardo
TI - The variational theory of fracture: diffuse cohesive energy and elastic-plastic rupture
JO - Fracture and Structural Integrity
T2 - Fracture and Structural Integrity
PY - 2011
VL - 5
IS - 18
SP - pages 5
EP - 13
DO - 10.3221/IGF-ESIS.18.01
UR - https://doi.org/10.3221/IGF-ESIS.18.01
SN - 1971-8993
ER -
Copyright Authors are allowed to retain both the copyright and the publishing rights of their articles without restrictions.
Open Access Statement
Fracture and Structural Integrity (F&SI) is an open-access journal which means that all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles in this journal without asking prior permission from the publisher or the author. This is in accordance with the DOAI definition of open access.
F&SI operates under the Creative Commons Licence Attribution 4.0 International (CC-BY 4.0). This allows to copy and redistribute the material in any medium or format, to remix, transform and build upon the material for any purpose, even commercially, but giving appropriate credit, providing a link to the license, and indicating if changes were made.
