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M. Cervera, E. Hinton, O. Hassan (1987)
Nonlinear analysis of reinforced concrete plate and shell structures using 20-noded isoparametric brick elementsComputers & Structures, 25
K. Valanis (1985)
On the Uniqueness of Solution of the Initial Value Problem in Softening MaterialsJournal of Applied Mechanics, 52
A. Hillerborg (1985)
Numerical methods to simulate softening and fracture of concrete
Z. Bažant (1985)
Mechanics of fracture and progressive cracking in concrete structures
L. Malvern (1969)
Introduction to the mechanics of a continuous medium
O. Zienkiewicz, R. Taylor, J. Zhu, Elsevier Bl, Ttfrworth Hhintalann (1977)
The finite element method
A. Ingraffea, V. Saouma (1985)
Numerical modeling of discrete crack propagation in reinforced and plain concrete
Z. Bažant, B. Oh (1983)
Crack band theory for fracture of concreteMatériaux et Construction, 16
Rots Rots, Nauta Nauta, Kusters Kusters, Blaauwendraad Blaauwendraad (1985)
Smeared crack approach and fracture localization in concreteHeron, 30
A numerical scheme for crack modelling by means of continuous displacement fields is presented. In two‐dimensional problems a crack is modelled as a limiting case of two singular lines (with continuous displacements, but discontinuous displacement gradients across them) which tend to coincide with each other. An analysis of the energy dissipated inside the band bounded by both lines allows one to obtain an expression for the characteristic length as the ratio between the energy dissipated per unit surface area (fracture energy) and the energy dissipated per unit volume (specific energy) at a point. The application of these mathematical expressions to the finite element discretized medium allow one to obtain a general spatial and directional expression for the characteristic length which guarantees the objectivity of the results with respect to the size of the finite element mesh. The numerical results presented show the reliability of the proposed expressions.
International Journal for Numerical Methods in Engineering – Wiley
Published: Feb 1, 1989
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