Simplified qualitative discrete numerical model to determinate cracking pattern in brittle materials by means of finite element method

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...

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Autores:
Tipo de recurso:
Fecha de publicación:
2017
Institución:
Universidad de América
Repositorio:
Lumieres
Idioma:
eng
OAI Identifier:
oai:repository.uamerica.edu.co:20.500.11839/6339
Acceso en línea:
https://doi.org/10.1155/2017/3861526
https://hdl.handle.net/20.500.11839/6339
Palabra clave:
Computational fracture mechanics
Finite element method
Crack path prediction
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License
Atribución – No comercial
Description
Summary: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.