ELATE: Elastic tensor analysis
Welcome to ELATE, the online tool for analysis of elastic tensors, developed by Romain Gaillac and François-Xavier Coudert at CNRS / Chimie
ParisTech.
If you use the software in published results (paper, conference, etc.), please cite the corresponding paper (J. Phys. Condens. Matter, 2016, 28, 275201) and give the
website URL.
ELATE is open source software. Any queries or comments are welcome at
Summary of the properties
Input: stiffness matrix (coefficients in GPa) of ZrCo2 (Materials Project id mp-929)
256 118 118 0 0 0 118 256 118 0 0 0 118 118 256 0 0 0 0 0 0 81 0 0 0 0 0 0 81 0 0 0 0 0 0 81
Average properties
Averaging scheme | Bulk modulus | Young's modulus | Shear modulus | Poisson's ratio |
---|---|---|---|---|
Voigt | KV = 164 GPa | EV = 197.94 GPa | GV = 76.2 GPa | νV = 0.29884 |
Reuss | KR = 164 GPa | ER = 196.89 GPa | GR = 75.732 GPa | νR = 0.29991 |
Hill | KH = 164 GPa | EH = 197.42 GPa | GH = 75.966 GPa | νH = 0.29937 |
Eigenvalues of the stiffness matrix
λ1 | λ2 | λ3 | λ4 | λ5 | λ6 |
---|---|---|---|---|---|
81 GPa | 81 GPa | 81 GPa | 138 GPa | 138 GPa | 492 GPa |
Variations of the elastic moduli
Young's modulus | Linear compressibility | Shear modulus | Poisson's ratio | Emin | Emax | βmin | βmax | Gmin | Gmax | νmin | νmax |
---|---|---|---|---|---|---|---|---|---|
Value | 181.54 GPa | 208.65 GPa | 2.0325 TPa–1 | 2.0325 TPa–1 | 69 GPa | 81 GPa | 0.24161 | 0.34957 | Value |
Anisotropy | 1.149 | 1.0000 | 1.174 | 1.4469 | Anisotropy | ||||
Axis | 1.0000 0.0000 0.0000 |
0.5774 0.5774 0.5773 |
0.0000 0.0000 1.0000 |
0.7934 0.0000 0.6088 |
0.7071 -0.0003 0.7071 |
-0.0000 0.0000 1.0000 |
0.7071 -0.0000 -0.7071 |
0.7071 -0.0005 0.7071 |
Axis |
0.7071 -0.0005 -0.7071 |
-0.9397 0.3420 -0.0000 |
-0.7071 0.0002 -0.7071 |
0.0003 1.0000 0.0004 |
Second axis |
Spatial dependence of Young's modulus
Young's modulus in (xy) plane
Young's modulus in (xz) plane
Young's modulus in (yz) plane
Spatial dependence of linear compressibility
linear compressibility in (xy) plane
linear compressibility in (xz) plane
linear compressibility in (yz) plane
Spatial dependence of shear modulus
Shear modulus in (xy) plane
Shear modulus in (xz) plane
Shear modulus in (yz) plane
Spatial dependence of Poisson's ratio
Poisson's ratio in (xy) plane
Poisson's ratio in (xz) plane
Poisson's ratio in (yz) plane