Ar. Mohamed et W. Hansen, Micromechanical modeling of concrete response under static loading - Part 1: Model development and validation, ACI MATER J, 96(2), 1999, pp. 196-203
A new micromechanical model has been developed that considers tensile crack
ing as the only fracture criterion at the microlevel. The model utilizes th
e finite element method as a numerical tool where the truss element is used
as the basic element in the finite element mesh. The internal structure of
concrete is considered as a three-phase material, viz. matrix, aggregate,
and interfaces between the matrix and the aggregate phases. The model consi
ders the randomness of the aggregate phase, as well as the probabilistic na
ture of the properties of the three phases. The constitutive relations of t
he elements for all phases at the microlevel are described according to the
smeared cracking concept that is based on the fictitious crack model. The
proposed model is able to predict the complete mechanical response associat
ed with different loading stages, localization of deformation, and the effe
ct of size on nominal strength. Model predictions are in agreement with doc
umented experimental work.