A three dimensional application of the smeared crack approach

Abstract A smeared crack approach to fracture of concrete is implemented in the finite element program ADINA. Non-linear concrete elements with tensile cracking are modified to include tensile strain softening. Upon cracking of an element at an integration point, the stiffness perpendicular to the crack is reduced to zero and the tensile stress across it is set as a function of the crack opening. Equilibrium iterations are implemented to redistribute stress. Two and three dimensional models of a single edge notched beam in three point bending are analysed and compared to experimental results. In the three dimensional model the crack front appears slightly curved, not as deep near the free edges as in the center.

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

[2]  F. Kharchi,et al.  Concerning the Measurement of the Fracture Energy of a Micro-Concrete According to the Crack Growth in a Three Points Bending Test on Notched Beams , 1989 .

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

[4]  H. Reinhardt Fracture Mechanics of an Elastic Softening Material like Concrete , 1984 .

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

[6]  Z. Bažant Comment on Orthotropic Models for Concrete and Geomaterials , 1983 .

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

[8]  J. Blaauwendraad,et al.  Strain-Softening Simulations of Mixed-Mode Concrete Fracture , 1989 .

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

[10]  Phillip A. Pfeiffer,et al.  Continuum Model for Progressive Cracking and Identification of Nonlinear Fracture Parameters , 1985 .

[11]  Klaus-Jürgen Bathe,et al.  On three-dimensional nonlinear analysis of concrete structures , 1979 .

[12]  G. E. Warren,et al.  Fracture energy for three-point-bend tests on single-edge-notched beams , 1988 .

[13]  S. E. Swartz,et al.  Influence of Size Effects on Opening Mode Fracture Parameters for Precracked Concrete Beams in Bending , 1989 .

[14]  W. C. Schnobrich,et al.  Finite Element Analysis of Reinforced Concrete , 1973 .