Young's modulus/ elastic modulielliptic crackscracksrandom distributionself consistent calculations/ A0340D Mathematical theory of elasticity A4630C Elasticity A4630N Fracture mechanics, fatigue, and cracks A6220D Elasticity, elastic constants A6220M Fatigue, brittleness, fracture, and cracks A8140J ...
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...
(1976), Elastic moduli of a cracked solid. Int. J. Solids Struct., 12, 81–97. Chaboche, J. (1992), Damage induced anisotropy: on the difficulties associated with the active/passive unilateral condition. Int. J. Damage Mech., 1, 148–171. Christensen, R.M. (1979), Mechanical of ...
through Gassmann's equations, which provide explicit analytical expressions for the elastic moduli of a fluid-saturated rock as functions of the porosity, the elastic moduli of the dry skeleton, the bulk modulus of the solid grain material, and the bulk modulus (incompressibility) of the pore ...
Department of Mechanical Engineering, Tufts University, Medford, MA, 02155, USA Mark Kachanov Corresponding author Correspondence toMark Kachanov. Kachanov, M. On the Effective Elastic Properties of Cracked Solids – Editor’s Comments.Int J Fract146, 295–299 (2007). https://doi.org/10.1007/s10...
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 ...
Since the potential for seismicity of a subsurface system depends both on the elastic stiffness and stress state of the rocks, rocks undergoing reactive transport cannot be modeled as though their elastic moduli are time independent. Accurate modeling of the subsurface behavior depends on understanding...
We consider a thin elastic plate in which identical foregin inclusions are perfectly embedded on the nodes of a doubly periodic lattice. Both materials are taken to be homogeneous and isotropic, differing in their bulk and shear moduli. At a given proportion of the above phases, a macroanisotro...
of soft/hard materials interface, which tends to fail leading to delamination and/or cracks due to mechanical mismatch. The Young's moduli of active materials including metals, semiconductors, carbons, and conducting polymers, are typically a few orders of magnitude higher than those of elastomeric...