On a numerical method for fracture mechanics

1985 ◽  
pp. 69-84 ◽  
Author(s):  
P. Destuynder ◽  
M. Djaoua ◽  
S. Lescure
Keyword(s):  
Fracture Mechanics ◽  
Numerical Method

Numerical Method of Discontinuous Displacements in Spatial Problems of Fracture Mechanics

2021 ◽  
Vol 56 (1) ◽  
pp. 119-130
Author(s):  
A. V. Zvyagin ◽  
A. A. Luzhin ◽  
D. I. Panfilov ◽  
A. A. Shamina
Keyword(s):  
Fracture Mechanics ◽  
Numerical Method ◽  
Spatial Problems

Considering Material Heterogeneity in Crack Modeling of Asphaltic Mixtures

2003 ◽  
Vol 1832 (1) ◽  
pp. 113-120 ◽  
Author(s):  
Jorge Barbosa Soares ◽  
Felipe Araújo Colares de Freitas ◽  
David H. Allen
Keyword(s):  
Fracture Mechanics ◽  
Numerical Method ◽  
Laboratory Tests ◽  
Global Analysis ◽  
Asphalt Mixture ◽  
Local Scale ◽  
Monotonic Loading ◽  
Crack Evolution ◽  
Material Heterogeneity

Cracking in the asphaltic layer of pavement has been shown to be a major source of distress in roadways. Previous studies in asphaltic mixture cracking have typically not considered the material heterogeneity. A numerical method of analysis is presented that is based on the theory of fracture mechanics, in which the binder and the aggregates are treated as distinct materials. The simulations performed are verified and calibrated from simple and conventional laboratory tests. The study investigates crack evolution under monotonic loading, even though the method outlined can be further developed for the investigation of asphalt mixture fatigue. The approach discussed is part of a multiscale framework for pavement analysis, in which the damage due to cracking at the local scale can be considered in a global analysis at the actual pavement scale.

Extended Finite Element Method for Fracture Mechanics and Mesh Refinement Controlled by Density Function

2012 ◽  
Vol 525-526 ◽  
pp. 413-416
Author(s):  
Yi Cen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fracture Mechanics ◽  
Numerical Method ◽  
Density Function ◽  
Extended Finite Element Method ◽  
Mesh Refinement ◽  
Extended Finite Element ◽  
Element Enrichment ◽  
Element Method

This paper discusses the combination of element enrichment by mesh refinement controlled by density function with the extended finite element method and its application in fracture mechanics. Extended finite element method (XFEM) is an effective numerical method for solving discontinuity problems in the finite element work frame. A numerical example of fracture mechanics is analyzed at the end of this paper to show the application of the above method.

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