Pomphrey (1982), Self-consistent elastic moduli of a cracked solid, Geophys. Res. Lett., 9(8), 903-906.Henyey, F.S., and Pomphrey, N. (1982). "Self-Consistent Elastic Moduli of a Cracked Solid." Geophysics Res. Letter, Vol. 9, pp. 903-906....
Another method based on the crack energy release and potential energy balance has also been used to estimate the overall elastic moduli of a microcracked solid. It is shown here that these two approaches are equivalent for microcracked solids, thus one can take advantage of both methods to ...
In the numerical examples, the case under a y-direction uniaxial tension is considered. The effects of the ellipse's aspect ratio, the shear moduli ratio and the normalized crack-inhomogeneity distance are investigated. The results show that the shapes of the inhomogeneity and the material ...
Elastic moduli and equation of state of highly compressed solid He are calculated up to the pressure 1.5 Mbar. While calculating the energy of the crystal, pair interatomic interactions and three-body interactions are taken into account. Three-body contribution is significant to a great extent both...
In many geological conditions, obtaining the static elastic moduli of crustal rocks is an essential subject for accurate mechanical analyses of crust. The
A short increase and a slight decrease then take place after the dramatic drop. In the cases of peak temperatures below 600 ˚C, the moduli decrease smoothly from peak temperatures to room temperature during cooling, particularly for the yellow sandstone. It is interesting to note that the ...
We can estimate the ideal strength based on the modification of empirical relations between elastic moduli and the Vickers hardness H\(_v\) proposed for bulk crystals22,23. Specific for 2D materials, we have the following empirical relations: \(H_v^{1a}=0.151 G\), \(H_v^{1b}=0.0608 ...
Understanding the underlying mechanisms on how solutes modify elastic mod- uli of metals is essential in numerous areas spanning solid-state physics to mate- rials selection in mechanical design. We perform first-principles calculations to study the elastic moduli changes relative to α-Fe for bcc ...
A more general approach to quantifying the fracture criterion for a cracked body was first developed by Griffith [50] more than thirty-five years before the introduction of linear-elastic fracture mechanics. The Griffith criterion is based on conservation of energy and is illustrated in Fig. 4 fo...
Effective Elastic Moduli of Two-Dimensional Brittle Solids With Interacting Microcracks, Part I: Basic Formulations The macroscopic stress strain relations of elastic solids with interacting microcracks are micromechanically derived by taking the ensemble average over al......