Numerical modeling of discrete crack propagation in reinforced and plain concrete

The earliest applications of the finite element method to concrete structures included crack modeling [1–3]. Such modeling, then and now, can be completely characterized by two essential elements. These are the manner of inclusion of a crack in the finite element mesh, and the criterion for crack instability and direction of growth.

[1]  Ray W. Clough.  THE STRESS DISTRIBUTION OF NORFORK DAM , 1962 .

[2]  F. Erdogan,et al.  On the Crack Extension in Plates Under Plane Loading and Transverse Shear , 1963 .

[3]  B. Bresler,et al.  Shear Strength of Reinforced Concrete Beams , 1963 .

[4]  D. Ngo,et al.  Finite Element Analysis of Reinforced Concrete Beams , 1967 .

[5]  R. C. Fenwick,et al.  Mechanism of Shear resistance of Concrete Beams , 1968 .

[6]  Y. R. Rashid,et al.  Ultimate strength analysis of prestressed concrete pressure vessels , 1968 .

[7]  R. H. Evans,et al.  Microcracking and stress-strain curves for concrete in tension , 1968 .

[8]  Arthur H. Nilson.  Nonlinear Analysis of ReinforcedConcrete by the Finite Element Method , 1968 .

[9]  G. Sih.  SOME BASIC PROBLEMS IN FRACTURE MECHANICS AND NEW CONCEPTS , 1973 .

[10]  G. Sih.  Strain-energy-density factor applied to mixed mode crack problems , 1974 .

[11]  Hussain,et al.  Strain Energy Release Rate for a Crack Under Combined Mode I and Mode II , 1974 .

[12]  G. C. Sih,et al.  Surface Layer Energy and Strain Energy Density for a Blunted Crack or Notch , 1974 .

[13]  G. Sih,et al.  Fracture mechanics applied to engineering problems-strain energy density fracture criterion , 1974 .

[14]  R. Barsoum.  On the use of isoparametric finite elements in linear fracture mechanics , 1976 .

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

[16]  M. German,et al.  Crack extension modeling with singular quadratic isoparametric elements , 1976 .

[17]  D. M. Tracey,et al.  The natural isoparametric triangle versus collapsed quadrilateral for elastic crack analysis , 1976, International Journal of Fracture.

[18]  William G. Poole,et al.  An algorithm for reducing the bandwidth and profile of a sparse matrix , 1976 .

[19]  Kurt H. Gerstle,et al.  Fracture Propagation In Rock: Laboratory Tests And Finite-Element Analysis , 1976 .

[20]  N. S. Ottosen.  A Failure Criterion for Concrete , 1977 .

[21]  TVA Cuts Deep Slot in Dam, Ends Cracking Problem , 1978 .

[22]  Niels Saabye Ottosen,et al.  Constitutive Model for Short-Time Loading of Concrete , 1979 .

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

[24]  A. Ingraffea,et al.  FINITE ELEMENT MODELS FOR ROCK FRACTURE MECHANICS , 1980 .

[25]  Zdenek P. Bazant,et al.  Fracture Mechanics of Reinforced Concrete , 1980 .

[26]  Richard H. Gallagher,et al.  A general two‐dimensional, graphical finite element preprocessor utilizing discrete transfinite mappings , 1981 .

[27]  San-Cheng Chang.  An integrated finite-element nonlinear shell analysis system with interactive computer graphics , 1981 .

[28]  A. Ingraffea,et al.  INTERACTIVE FINITE ELEMENT ANALYSIS OF REINFORCED CONCRETE: A FRACTURE MECHANICS APPROACH , 1981 .

[29]  P. Petersson.  Crack growth and development of fracture zones in plain concrete and similar materials , 1981 .

[30]  David Darwin,et al.  Grid Size Effects With Smeared Cracking in Finite Element Analysis of Reinforced Concrete , 1982 .

[31]  A. Ingraffea,et al.  Three-dimensional finite element calibration of the short-rod specimen , 1982, International Journal of Fracture.

[32]  John F. Abel,et al.  Interactive computer graphic preprocessing for three-dimensional finite element analysis , 1982 .

[33]  Anthony R. Ingraffea,et al.  Interactive computer graphic preprocessing for three-dimensional boundary-integral element analysis , 1983 .