The Three Dimensional Extended Bridging Domain Method for Brittle Fracture

2012 ◽  
Author(s):  
H. Talebi ◽  
M. Silani ◽  
T. Rabczuk
Keyword(s):  
Brittle Fracture ◽  
Three Dimensional ◽  
Domain Method ◽  
Bridging Domain Method

Cleavage Planes of Icosahedral Quasicrystals: A Molecular Dynamics Study

2003 ◽  
Vol 805 ◽  
Author(s):  
Frohmut Rösch ◽  
Christoph Rudhart ◽  
Peter Gumbsch ◽  
Hans-Rainer Trebin
Keyword(s):  
Molecular Dynamics ◽  
Brittle Fracture ◽  
Crack Propagation ◽  
Three Dimensional ◽  
Propagation Direction ◽  
Mode I ◽  
Dynamic Crack ◽  
Fracture Surfaces ◽  
Icosahedral Quasicrystals ◽  
Crack Tip Plasticity

ABSTRACTThe propagation of mode I cracks in a three-dimensional icosahedral model quasicrystal has been studied by molecular dynamics techniques. In particular, the dependence on the plane structure and the influence of clusters have been investigated. Crack propagation was simulated in planes perpendicular to five-, two- and pseudo-twofold axes of the binary icosahedral model.Brittle fracture without any crack tip plasticity is observed. The fracture surfaces turn out to be rough on the scale of the clusters. These are not strictly circumvented, but to some extent cut by the dynamic crack. However, compared to the flat seed cracks the clusters are intersected less frequently. Thus the roughness of the crack surfaces can be attributed to the clusters, whereas the constant average heights of the fracture surfaces reflect the plane structure of the quasicrystal. Furthermore a distinct anisotropy with respect to the in-plane propagation direction is found.

Stress continuity in DEM-FEM multiscale coupling based on the generalized bridging domain method

2020 ◽  
Vol 83 ◽  
pp. 220-236
Author(s):  
Fubin Tu ◽  
Yuyong Jiao ◽  
Zongwu Chen ◽  
Junpeng Zou ◽  
Zhiye Zhao
Keyword(s):  
Domain Method ◽  
Bridging Domain Method

A continuum-to-atomistic bridging domain method for composite lattices

2009 ◽  
Vol 81 (13) ◽  
pp. 1635-1658 ◽  
Author(s):  
Mei Xu ◽  
Robert Gracie ◽  
Ted Belytschko
Keyword(s):  
Domain Method ◽  
Bridging Domain Method

scholarly journals Micromechanical Modeling of Brittle Fracture of French RPV Steel: A Comprehensive Study of Stress Triaxiality Effect

2008 ◽  
Author(s):  
Jean-Philippe Mathieu ◽  
Olivier Diard ◽  
Karim Inal ◽  
Sophie Berveiller
Keyword(s):  
Brittle Fracture ◽  
Low Temperatures ◽  
Mean Field ◽  
Three Dimensional ◽  
Stress Triaxiality ◽  
Micromechanical Modeling ◽  
Multiscale Approach ◽  
Local Approach ◽  
Rpv Steel ◽  
Probability Of Fracture

The present study describes a multiscale representation of mechanisms involved in brittle fracture of a french Reactor Pressure Vessel (RPV) steel (16MND5 equ. ASTM A508 Cl.3) at low temperatures. Attention will be focused on the representation of stress heterogeneities inside the ferritic matrix during plastic straining, which is considered as critical for further micromechanical approach of brittle fracture. This representation is tuned on experimental results [1]. Modeling involves micromechanical a description of plastic glide, a mean field (MF) model and a realistic three-dimensional aggregates Finite Element (FE) simulation, all put together inside a multiscale approach. Calibration is done on macroscopic stress-strain curves at different low temperatures, and modeling reproduces experimental stress heterogeneities. This modeling allows to apply a local micromechanical fracture criterion of crystallographic cleavage for triaxial loadings on the Representative Volume Element (RVE). Deterministic computations of time to fracture for different carbide sizes random selection provide a probability of fracture for an Elementary Volume (EV) consistant with the local approach. Results are in good agreement with hypothesis made by local approach to fracture. Hence, the main difference is that no phenomenological dependence on loading or microstructure is supposed for probability of fracture on the EV: this dependence is naturally introduced by the micromechanical description.

A Parallel Fictitious Domain Method for the Three-Dimensional Helmholtz Equation

2003 ◽  
Vol 24 (5) ◽  
pp. 1567-1588 ◽  
Author(s):  
Erkki Heikkola ◽  
Tuomo Rossi ◽  
Jari Toivanen
Keyword(s):  
Helmholtz Equation ◽  
Three Dimensional ◽  
Fictitious Domain ◽  
Fictitious Domain Method ◽  
Domain Method
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