An extended FE strategy for transition from continuum damage to mode I cohesive crack propagation

An integrated strategy is proposed for the simulation of damage development and crack propagation in concrete structures. In the initial stage of damage growth, concrete is considered to be macroscopically integer and is modeled by a non-symmetric isotropic non-local damage model. The transition to the discrete cohesive crack model depends on the local mesh size and is driven by an analytical estimate of the current bandwidth. When a crack is introduced in the model an extended finite element approach is used to follow the propagation path, independent of the background mesh. The proposed methodology is tested on a notched tension specimen and then applied to the analysis of a wedge splitting test. Copyright © 2006 John Wiley & Sons, Ltd.

[1]  A. Carpinteri,et al.  Mixed mode fracture of concrete , 1991 .

[2]  Gilles Pijaudier-Cabot,et al.  From damage to fracture mechanics and conversely: A combined approach , 1996 .

[3]  M. Jirásek,et al.  Process zone resolution by extended finite elements , 2003 .

[4]  Claudia Comi,et al.  Criteria for mesh refinement in nonlocal damage finite element analyses , 2004 .

[5]  Claudia Comi,et al.  A non-local model with tension and compression damage mechanisms , 2001 .

[6]  Antonio Huerta,et al.  Error estimation and adaptivity for nonlocal damage models , 2000 .

[7]  T. Belytschko,et al.  Extended finite element method for cohesive crack growth , 2002 .

[8]  Z. Bažant,et al.  Nonlocal damage theory , 1987 .

[9]  Rhj Ron Peerlings,et al.  Gradient‐enhanced damage modelling of concrete fracture , 1998 .

[10]  Claudia Comi,et al.  Numerical aspects of nonlocal damage analyses , 2001 .

[11]  C. Comi,et al.  Numerical aspects of nonlocal damage analyses of concrete structures , 2001 .

[12]  Rui Faria,et al.  Seismic evaluation of concrete dams via continuum damage models , 1995 .

[13]  L. J. Sluys,et al.  From continuous to discontinuous failure in a gradient-enhanced continuum damage model , 2003 .

[14]  Milan Jirásek,et al.  Comparative study on finite elements with embedded discontinuities , 2000 .

[15]  Milan Jirásek,et al.  Embedded crack model. Part II: combination with smeared cracks , 2001 .

[16]  G. I. Barenblatt THE MATHEMATICAL THEORY OF EQUILIBRIUM CRACKS IN BRITTLE FRACTURE , 1962 .

[17]  Michael Ortiz,et al.  An Efficient Adaptive Procedure for Three-Dimensional Fragmentation Simulations , 2001, Engineering with Computers.

[18]  Victor E. Saouma,et al.  Concrete Fracture Process Zone Characterization with Fiber Optics , 2001 .

[19]  Umberto Perego,et al.  Fracture energy based bi-dissipative damage model for concrete , 2001 .

[20]  Gilles Pijaudier-Cabot,et al.  Strain localization and bifurcation in a nonlocal continuum , 1993 .

[21]  Milan Jirásek,et al.  Nonlocal models for damage and fracture: Comparison of approaches , 1998 .

[22]  L. J. Sluys,et al.  Remeshing strategies for adaptive ALE analysis of strain localisation , 2000 .

[23]  Stefano Mariani,et al.  Extended finite element method for quasi‐brittle fracture , 2003 .

[24]  Xiaopeng Xu,et al.  Numerical simulations of fast crack growth in brittle solids , 1994 .

[25]  A. Hillerborg,et al.  Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements , 1976 .

[26]  Ted Belytschko,et al.  A finite element method for crack growth without remeshing , 1999 .