Phase field modeling of crack propagation
نویسندگان
چکیده
منابع مشابه
Phase-field modeling of crack propagation in piezoelectric and ferroelectric materials with different electromechanical crack conditions
We present a family of phase field models for fracture in piezoelectric and ferroelectric materials. These models couple a variational formulation of brittle fracture with, respectively, (1) the linear theory of piezoelectricity, and (2) a Ginzburg Landau model of the ferroelectric microstructure to address the full complexity of the fracture phenomenon in these materials. In these models, both...
متن کاملStochastic modeling of fatigue crack propagation
This paper presents a stochastic model of fatigue-induced crack propagation in metallic materials. The crack growth rate predicted by the model is guaranteed to be non-negative. The model structure is built upon the underlying principle of Karhunen±Lo eve expansion and does not require solutions of stochastic dierential equations in either Wiener integral or Itô integral setting. As such this ...
متن کاملStudy of the branching instability using a phase field model of inplane crack propagation
In this study, the phase field model of crack propagation is used to study the dynamic branching instability in the case of inplane loading in two dimensions. Simulation results are in good agreement with theoretical predictions and experimental findings. Namely, the critical speed at which the instability starts is about 0.48cs. They also show that a full 3D approach is needed to fully underst...
متن کاملMulti-paradigm modeling of dynamical crack propagation in silicon using the ReaxFF reactive force field
We report a study of dynamic cracking in a silicon single crystal in which the ReaxFF reactive force field is used for several thousand atoms near the crack tip while more than 100,000 atoms of the model system are described with a simple nonreactive force field. The ReaxFF is completely derived from quantum mechanical calculations of simple silicon systems without any empirical parameters. Our...
متن کاملMultiparadigm modeling of dynamical crack propagation in silicon using a reactive force field.
We report a study of dynamic cracking in a silicon single crystal in which the ReaxFF reactive force field is used for several thousand atoms near the crack tip, while more than 100,000 atoms are described with a nonreactive force field. ReaxFF is completely derived from quantum mechanical calculations of simple silicon systems without any empirical parameters. Our results reproduce experimenta...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Philosophical Magazine
سال: 2011
ISSN: 1478-6435,1478-6443
DOI: 10.1080/14786431003773015