This approach which was tested for MAX and MnAl4C3+n phases provides a reliable estimate of the bulk moduli of single phases with layered crystal structure based on the calculated moduli of the constituents.
Figure 4b-ii plots the shear stress versus the strain for three different phases of the NW and the slopes represent the shear moduli of the phase-1, -2, and -3 NWs given by ~100, 220, and 400 MPa, respectively.
In this work, we propose a theoretical framework to predict the effective moduli of three-phase heterogeneous particulate composites containing spheroidal particles, soft interfaces, and a homogeneous matrix.
When we assume a rock type and give elastic moduli of the solid phase, we can evaluate the crack density parameter to give the observed seismic velocity.
The effective moduli of such three-phase particulate composites are eventually derived by the generalized self-consistent scheme.
Also, refinement of the input values of the intrinsic elastic moduli of the various phases enabled predictions of effective moduli, at different ages and different water-to-cement mass ratios, that are within the 10% uncertainty in the measured values.
Instead, the polymers adsorb on the hydration products as well as on unhydrated clinker grains and decrease the indentation moduli of the micromechanical phases.
For the error of DEM, it is particularly the case of the 1st-phase data.
