# 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 SrCl2 (Materials Project id mp-23209)

66 18 18 0 0 0 18 66 18 0 0 0 18 18 66 0 0 0 0 0 0 9 0 0 0 0 0 0 9 0 0 0 0 0 0 9

### Average properties

Averaging scheme | Bulk modulus | Young's modulus | Shear modulus | Poisson's ratio |
---|---|---|---|---|

Voigt | K_{V} = 34 GPa | E_{V} = 39.231 GPa | G_{V} = 15 GPa | ν_{V} = 0.30769 |

Reuss | K_{R} = 34 GPa | E_{R} = 32.211 GPa | G_{R} = 12 GPa | ν_{R} = 0.34211 |

Hill | K_{H} = 34 GPa | E_{H} = 35.766 GPa | G_{H} = 13.5 GPa | ν_{H} = 0.32468 |

### Eigenvalues of the stiffness matrix

λ_{1} |
λ_{2} |
λ_{3} |
λ_{4} |
λ_{5} |
λ_{6} |
---|---|---|---|---|---|

9 GPa | 9 GPa | 9 GPa | 48 GPa | 48 GPa | 102 GPa |

### Variations of the elastic moduli

Young's modulus | Linear compressibility | Shear modulus | Poisson's ratio | ||||||
---|---|---|---|---|---|---|---|---|---|

E_{min} | E_{max} |
β_{min} | β_{max} | G_{min} | G_{max} |
ν_{min} | ν_{max} | ||

Value | 24.811 GPa | 58.286 GPa | 9.8039 TPa^{–1} | 9.8039 TPa^{–1} | 9 GPa | 24 GPa | 0.10651 | 0.60947 | Value |

Anisotropy | 2.349 | 1.0000 | 2.667 | 5.7222 | Anisotropy | ||||

Axis | 0.5774 0.5774 0.5773 |
1.0000 0.0000 0.0000 |
0.4630 0.7997 0.3823 |
0.0000 0.0000 1.0000 |
0.0000 0.0000 1.0000 |
0.7071 0.0001 -0.7071 |
-0.7071 -0.0000 -0.7071 |
0.7071 -0.0000 -0.7071 |
Axis |

1.0000 0.0000 -0.0000 |
-0.7071 -0.0002 -0.7071 |
0.0000 -1.0000 -0.0000 |
-0.7071 0.0002 -0.7071 |
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