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- W2023391488 abstract "Large-scale dislocation dynamics simulations usually involve several millions of interacting dislocation segments. The stress at a point and interaction force between two segments need to be computed many times during simulations. We evaluate the cost versus accuracy of using spherical harmonics series to approximate the anisotropic elastic Green's function in calculating stresses and forces between segments. The stress at a point is obtained by analytically integrating the spherical harmonics series once and the forces by integrating it analytically twice. We analyze the convergence and cost of using this approach and describe the elements of a fast implementation. We find that the cost of the force and stress calculations grows quadratically with the accuracy for a fixed anisotropy ratio." @default.
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- W2023391488 date "2013-08-08" @default.
- W2023391488 modified "2023-09-25" @default.
- W2023391488 title "Use of spherical harmonics for dislocation dynamics in anisotropic elastic media" @default.
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- W2023391488 doi "https://doi.org/10.1088/0965-0393/21/6/065013" @default.
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