Zp. Bazant et al., MICROPLANE MODEL FOR CONCRETE .1. STRESS-STRAIN BOUNDARIES AND FINITESTRAIN, Journal of engineering mechanics, 122(3), 1996, pp. 245-254
The paper presents an improvement of the microplane model for concrete
-a constitutive model in which the nonlinear triaxial behavior is char
acterized by relations between the stress and strain components on a m
icroplane of any orientation under the constraint that the strains on
the microplane are the projections of the macroscopic strain tenser. T
he improvement is achieved by a new concept: the stress-strain boundar
ies, which can never be exceeded. The advantage of this new concept is
that various boundaries and the elastic behavior can be defined as a
function of different variables (strain components). Thus, whereas for
compression the stress-strain boundaries are defined on the microplan
es separately for volumetric and deviatoric components, for tension an
additional boundary is defined in terms of the total normal strains.
This is necessary to achieve a realistic triaxial response at large te
nsile strains. For microplane shear, a friction law with cohesion is i
ntroduced. The present model is simpler than the previous microplane m
odel. Finally, the microplane model is generalized to finite, but only
moderately large, strains. Verification and calibration by test data
are left to a subsequent companion paper.