Simplified qualitative discrete numerical model to determine cracking pattern in brittle materials by means of finite element method
Publication date
2017ISSN
1024-123X
Abstract
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.
Document Type
Article
Document version
Published version
Language
English
Subject (CDU)
51 - Mathematics
Keywords
Matemàtiques
Matemáticas
Mathematics
Pages
15
Publisher
Hindawi
Collection
2017
Is part of
Mathematical Problems in Engineering
Citation
Ochoa Avendaño, Jhon Freddy; Garzon-Alvarado, D. A.; Linero, Dorian L. [et al.]. Simplified qualitative discrete numerical model to determine cracking pattern in brittle materials by means of finite element method. Mathematical Problems in Engineering, 2017, 2017, 3861526. Disponible en: <https://www.hindawi.com/journals/mpe/2017/3861526/>. Fecha de acceso: 21 mar. 2023. DOI: 10.1155/2017/3861526
Link to the related item
This item appears in the following Collection(s)
- Ciències Bàsiques [65]
Rights
© 2017 J. Ochoa-Avendaño et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Except where otherwise noted, this item's license is described as https://creativecommons.org/licenses/by/4.0/