solve_sextic_equations

dislocation_tools.backend.stroh.solve_sextic_equations(m, n, c)

Compute the eigenvalues and eigenvectors of the problem.

The equations below refer to pp. 467 in [1].

Parameters

  • m (array-like) – x-direction of the dislocation coordinate system

  • n (array-like) – y-direction of the dislocation coordinate system

  • c (array-like) – 3×3×3×3 array representation of elastic stiffness, given in laboratory coordinates

Returns

  • Np (numpy.ndarray) – eigenvalues

  • Nv (numpy.ndarray) – eigenvectors

References

  1. Hirth, J.P.; Lothe, J. Theory of Dislocations, 2nd Edition; John Wiley and Sons, 1982. pp 467