Numerical implementation of the variational formulation for quasi-static brittle fracture
نویسندگان
چکیده
منابع مشابه
Numerical implementation of the variational formulation for quasi-static brittle fracture
This paper presents the analysis and implementation of the variational formulation of quasi-static brittle fracture mechanics proposed by G. A. Francfort and J.-J. Marigo in 1998. We briefly present the model itself, and its variational approximation in the sense of Γ -convergence. We propose a numerical algorithm based on Alternate Minimizations and prove its convergence under restrictive assu...
متن کاملThe variational formulation of brittle fracture: numerical implementation and extensions
This paper presents the implementation of a variational formulation of brittle fracture mechanics proposed by G.A. Francfort and J.-J. Marigo in 1998. The essence of the model relies on successive global minimizations of an energy with respect to any crack set and any kinematically admissible displacement field. We briefly present the model itself, and its variational approximation in the sense...
متن کاملScaling of Static Fracture of Quasi-Brittle Structures: Strength, Lifetime, and Fracture Kinetics
The paper reviews a recently developed finite chain model for the weakest-link statistics of strength, lifetime, and size effect of quasi-brittle structures, which are the structures in which the fracture process zone size is not negligible compared to the cross section size. The theory is based on the recognition that the failure probability is simple and clear only on the nanoscale since the ...
متن کاملQuasi-Static Numerical Simulation of Missile Staging
In this study, the missile staging process by implementing a side-injected jet is simulated numerically. The problem is considered to be axisymmetric and the thin shear layer approximation of Navier-Stokes equations along with an algebraic turbulence model is used in a quasi-static form for the calculations. The free stream corresponds to a very high altitude flight condition with a Mach number...
متن کاملQuasi-Static Numerical Simulation of Missile Staging
In this study, the missile staging process by implementing a side-injected jet is simulated numerically. The problem is considered to be axisymmetric and the thin shear layer approximation of Navier-Stokes equations along with an algebraic turbulence model is used in a quasi-static form for the calculations. The free stream corresponds to a very high altitude flight condition with a Mach number...
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: Interfaces and Free Boundaries
سال: 2007
ISSN: 1463-9963
DOI: 10.4171/ifb/171