This user guide is incomplete and will be updated soon. A full list of the MSAT functions (with links to more information) is below.
MSAT function tables
Function | Purpose |
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Generate elastic constants for a vertically transverse isotropic medium from Thomsen parameters. Symmetry is in the 3-axis. |
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Generate elastic constants for a vertically transverse isotropic medium from xi, phi, eta parameters. Symmetry is in the 3-axis. |
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Create elasticity matrix from pairs of isotropic moduli. |
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Check consistency of a stiffness matrix against various criteria |
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Generate elastic constants from various effective medium theories. |
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Database of various elastic constants.. |
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Fill out elasticity matrix. |
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Generate elastic matrix from isotropic velocities. |
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Load a set of elastic constants from a file. |
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Load a list of CIJs, in a specific format |
Function | Purpose |
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N phase Voigt-Reuss-Hill average of elasticity. |
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Reorient elasticity matrix for optimal decomposition. |
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Browaeys and Chevrot decomposition of the elasticity matrix. |
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Symmetry preserving elasticity interpolation |
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Browaeys and Chevrot analysis of the elasticity matrix. |
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Isotropic elasticity for polycrystal |
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Elasticity matrix rotation. |
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Rotate an elasticity matrix using Bunge’s Euler angles. |
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Script to rotate a set of elastic constants by a rotation matrix |
Function | Purpose |
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Simple measures of anisotropy |
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Information about an elasticity matrix. |
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Wave velocities in anisotropic media. |
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Plot phasevels/anisotropy on pole figures. |
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Poisson’s ratio in anisotropic media. |
Function | Purpose |
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Plot phasevels/anisotropy on pole figures. |
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Plot a spherical plot of phasevels/anisotropy from a set of elastic constants. |
Function | Purpose |
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Rotate a (set of) 3-vector(s) by 3 angles. |
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Convert from Voigt elasticity matrix to tensor |
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Convert from elastic tensor to Voigt elasticity matrix |
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Print elasticity matrix (in list format) |
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Create a cartesian rotation matrix. |
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Unwind an angle until it is between 0 and 360 degrees |