Simplified qualitative discrete numerical model to determine cracking pattern in brittle materials by means of finite element method
Fecha de publicación
2017ISSN
1024-123X
Resumen
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.
Tipo de documento
Artículo
Versión del documento
Versión publicada
Lengua
English
Materias (CDU)
51 - Matemáticas
Palabras clave
Matemàtiques
Matemáticas
Mathematics
Páginas
15
Publicado por
Hindawi
Colección
2017
Publicado en
Mathematical Problems in Engineering
Citación
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
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Derechos
© 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.
Excepto si se señala otra cosa, la licencia del ítem se describe como https://creativecommons.org/licenses/by/4.0/