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AHartmaier / pyLabDD

Python Laboratory for Dislocation Dynamics
https://ahartmaier.github.io/pyLabDD
GNU General Public License v3.0
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Theory #2

Closed nyf-yellow closed 9 months ago

nyf-yellow commented 9 months ago

hi,Thanks for sharing the code, it really helps me a lot. I have two questions about the theory of dislocation dynamics 1、I can't understand how to calculate the force on dislocations in periodic boundary conditions from the code, could you please introduce the theory to me? 2、In the process of pk force calculation you wrote: F{PK}1=σ12bx+σ22by ; F{PK}2 = σ11bx+σ12by Is it should be: F{PK}1=σ12bx+σ22by ; F{PK}2 = -(σ11bx+σ12by) Looking forward to your reply

AHartmaier commented 9 months ago

Thanks for pointing out the error in the FPK array, I corrected it in the new version. The calculation of forces under periodic boundary conditions is based on Eqs (2.1.25a) and (2.1.25b) in the PhD thesis of Linyong Pang "A new O(N) method for modeling and simulating the behavior of a large number of dislocations in anisotropic linear elastic media", Stanford University, USA, 2001. I will try to add some more documentation to that in due course. Please PM me in case of specific questions about the theory.