Stable Cracking Particles Method Based on Stabilized Nodal Integration and Updated Lagrangian Kernel
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-07
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A stable cracking particles method (CPM) based on updated Lagrangian kernels is proposed.
The idea of CPM is to model the crack topology by a set of cracked particles.
Hence no representation of the crack surface is needed making the method useful for problems involving complex fracture patterns as they occur in dynamics and under fast loading conditions.
For computational efficiency, nodal integration is exploited in the present paper.
In order to avoid instabilities, a scheme is presented to stabilized the integration.
Moreover, a set of simple cracking rules are proposed in order to prevent numerical fracture.
The method is applied to two benchmark problems and shows good accuracy.
American Psychological Association (APA)
Xu, S.. 2014. Stable Cracking Particles Method Based on Stabilized Nodal Integration and Updated Lagrangian Kernel. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-487870
Modern Language Association (MLA)
Xu, S.. Stable Cracking Particles Method Based on Stabilized Nodal Integration and Updated Lagrangian Kernel. Mathematical Problems in Engineering No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-487870
American Medical Association (AMA)
Xu, S.. Stable Cracking Particles Method Based on Stabilized Nodal Integration and Updated Lagrangian Kernel. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-487870
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-487870