New Method for Simulating Fracture Using an Elastically Uniform Random Geometry Lattice.
New Method for Simulating Fracture Using an Elastically
Uniform Random Geometry Lattice.
Schlangen, E.; Garboczi, E. J.
International Journal of Engineering Science, Vol. 34,
No. 10, 1131-1144, 1996.
building technology; beam theory; concretes; elasticity;
fracture; homogeneoty; lattice; microstructure
This paper discusses 2D lattice models of beams for
simulating the fracture of brittle materials. A
simulation of an experiment on a concrete plate
subjected to shear, in which two overlapping cracks
occur, is used to study the effect of individual beam
characteristics and different arrangements of the beams
in the overall lattice. It was found that any regular
orientation of the beams influences the resulting crack
patterns. A method is developed to construct a lattice
with a random geometry, but which can represent a
homogeneous medium, that eliminates the influence of the
beam orientation on a simulated crack pattern. Methods
to implement a wide range of Poisson's ratios are also
developed, and the use of the random lattice to study
arbitrary microstructures is outlined. The crack
patterns that are obtained with this lattice are in good
agreement with the experimental results.