Simplified Qualitative Discrete Numerical Model to Determine Cracking Pattern in Brittle Materials by Means of Finite Element Method
Joint Authors
Garzón-Alvarado, Diego A.
Ochoa-Avendaño, J.
Linero, Dorian L.
Cerrolaza, Miguel
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-07-02
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper presents the formulation, implementation, and validation of a simplified qualitative model to determine the crack path of solids considering static loads, infinitesimal strain, and plane stress condition.
This model is based on finite element method with a special meshing technique, where nonlinear link elements are included between the faces of the linear triangular elements.
The stiffness loss of some link elements represents the crack opening.
Three experimental tests of bending beams are simulated, where the cracking pattern calculated with the proposed numerical model is similar to experimental result.
The advantages of the proposed model compared to discrete crack approaches with interface elements can be the implementation simplicity, the numerical stability, and the very low computational cost.
The simulation with greater values of the initial stiffness of the link elements does not affect the discontinuity path and the stability of the numerical solution.
The exploded mesh procedure presented in this model avoids a complex nonlinear analysis and regenerative or adaptive meshes.
American Psychological Association (APA)
Ochoa-Avendaño, J.& Garzón-Alvarado, Diego A.& Linero, Dorian L.& Cerrolaza, Miguel. 2017. Simplified Qualitative Discrete Numerical Model to Determine Cracking Pattern in Brittle Materials by Means of Finite Element Method. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1190286
Modern Language Association (MLA)
Ochoa-Avendaño, J.…[et al.]. Simplified Qualitative Discrete Numerical Model to Determine Cracking Pattern in Brittle Materials by Means of Finite Element Method. Mathematical Problems in Engineering No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1190286
American Medical Association (AMA)
Ochoa-Avendaño, J.& Garzón-Alvarado, Diego A.& Linero, Dorian L.& Cerrolaza, Miguel. Simplified Qualitative Discrete Numerical Model to Determine Cracking Pattern in Brittle Materials by Means of Finite Element Method. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1190286
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190286