Numerical study of mixed-mode fracture in concrete

In the present paper, the finite element code based on the microplane model is used for the analysis of typical concrete mixed-mode geometries — the notched beam, the doubleedge-notched specimen and the dowel disk specimen. The local smeared fracture finite element analysis is carried out. As a regularization procedure, the crack band method is used. The aim of the study was to investigate whether the smeared fracture finite element analysis is able to predict mixed-mode fracture of concrete. Comparison between experimental and numerical results shows that the used code predicts structural response and crack pattern realistically for all investigated cases. It is shown that for the most of studied geometries the mixed-mode fracture mechanism dominates at crack initiation. However, with increase of the crack length mode I fracture becomes dominant and finally specimens fail in failure mode I.

[1]  Zdenek P. Bazant,et al.  Why Continuum Damage is Nonlocal: Micromechanics Arguments , 1991 .

[2]  K. Willam,et al.  Fundamental Issues of Smeared Crack Models , 1989 .

[3]  Joško Ožbolt,et al.  NUMERICAL SMEARED FRACTURE ANALYSIS: NONLOCAL MICROCRACK INTERACTION APPROACH , 1996 .

[4]  Z. Bažant,et al.  Crack band theory for fracture of concrete , 1983 .

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

[6]  René de Borst,et al.  Gradient-dependent plasticity: formulation and algorithmic aspects , 1992 .

[7]  Zdeněk P. Bažant,et al.  New explicit microplane model for concrete: Theoretical aspects and numerical implementation , 1992 .

[8]  Bernard Budiansky,et al.  A Mathematical Theory of Plasticity Based on the Concept of Slip , 1949 .

[9]  F. C. Thompson.  The Journal of the Institute of Metals , 1944, Nature.

[10]  M. B. Nooru-Mohamed.  Mixed-mode fracture of concrete : An experimental approach , 1992 .

[11]  R. Borst,et al.  CONTINUUM MODELS FOR DISCONTINUOUS MEDIA , 1991 .

[12]  Joško Ožbolt,et al.  Microplane model for concrete with relaxed kinematic constraint , 2001 .

[13]  Milan Jirásek,et al.  A thermodynamically consistent approach to microplane theory. Part I. Free energy and consistent microplane stresses , 2001 .

[14]  Pere C. Prat,et al.  Microplane Model for Brittle-Plastic Material: I. Theory , 1988 .

[15]  Z. Bažant,et al.  CRACK SHEAR IN CONCRETE: CRACK BAND MICROPLANE MODEL , 1984 .

[16]  Ferhun C. Caner,et al.  Microplane Model M4 for Concrete. I: Formulation with Work-Conjugate Deviatoric Stress , 2000 .

[17]  Michael Ortiz,et al.  A constitutive theory for the inelastic behavior of concrete , 1985 .

[18]  Z. Bažant,et al.  Nonlocal microplane model for fracture, damage, and size effect in structures , 1990 .

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

[20]  Zdenek P. Bazant,et al.  Microplane Model for Concrete , 1996 .

[21]  Z. Bažant,et al.  Blunt Crack Band Propagation in Finite Element Analysis , 1979 .

[22]  Ted Belytschko,et al.  Wave propagation in a strain-softening bar: Exact solution , 1985 .

[23]  H. W. Reinhardt,et al.  Mixed Mode Fracture Tests on Concrete , 1989 .

[24]  J. M. Reynouard,et al.  Mixed mode fracture in plain and reinforced concrete: some results on benchmark tests , 2000 .