Peridynamic theory vs. classical continuum theory
Dr. Stewart Silling has provided me with a copy of his talk on Peridynamic theory that he presented at McMat 2007. The PDF file of the talk is attached below.
In order to deal with classical material models and volume constraints, Dr. Silling has modified the original theory to allow for forces that are not necessarily pairwise. A bit on that is included in the talk.
You can find more information on peridynamics including a bit on Dr. Silling's code (EMU) at http://www.sandia.gov/emu/emu.htm (though it's slightly out of date). Dr. Silling promises to update the site in the near future.
| Attachment | Size |
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| Silling_Peridynamic_McMat07.pdf | 2.89 MB |
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Thank you so much for your
Thank you so much for your information, I checked out the web and found that maybe it can help me to simulate sth I want, thus I will be appreciated if you could tell me how to get this code called "EMU", I didn't find any download link on that site.
Another question is whether this code can be coupled with sandia's another code "LAMMPS"? So that one can do some multiscale modeling.
Thanks again~
Regards
Xu Shuozhi
LAMMPS + Peridynamics
Regarding your second question, this paper describes an implementation that couples peridynamics to LAMMPS:
doi:10.1016/j.cpc.2008.06.011
Thank you~It is helpful.
Thank you~It is helpful.
How to use PD with lammps in multiscale modelling?
Dear Dayal:
I read that paper today and found that peridunamic is a powerful tool for solving discrete problem, e.g. crack propagation.
I found that a command in lammps called "fix peri", I read that command and find out the peridynamics is used indepently in lammps, not coupled with MD like most other multiscale methods, e.g. qc, bsm ,bd, etc.
I also noticed that in the following paper:
http://www.iop.org/EJ/abstract/1742-6596/125/1/012078
PD is going to be a multiscale method, and what I am interested is that whether and when will PD becomes a real and handful multiscale theory, not just a continuum one, and is there any possiblity that some free code about PD could be released in the near future? Thus one can use it to do some dynamics simulation, coupled with MD.
Thank you~
PD with LAMMPS
Hello Xu,
If you have an access to a finite element software, you can implement peridynamic theory within that software by using truss elements. This paper might be useful for this purpose:
R. W. Macek and S. A. Silling, "Peridynamics via finite element
analysis," Finite Elements in Analysis and Design, Vol. 43, Issue 15,
(2007) 1169-1178. DOI: 10.1016/j.finel.2007.08.012
For taking into account some nano-scale effects such as van der Waals forces within the peridynamic framework, then this paper might be useful:
S. A. Silling and F. Bobaru, "Peridynamic Modeling of Membranes and
Fibers," International Journal of Non-Linear Mechanics, Vol. 40 (2005)
395-409. DOI:10.1016/j.ijnonlinmec.2004.08.004
Regards,
Erkan.
Hello,Erkan: Thank you, I
Hello,Erkan:
Thank you, I will read these paper.
Regards
Xu