Geodesic
Residual stress structure in the molecular dynamics model
Dalʹnevostočnyj matematičeskij žurnal, Tome 8 (2008) no. 2, pp. 152-163

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The one-dimensional model of pair-wise interacted oscillators are considered. The analytical representation for residual stress depending on particles initial distribution was obtained. Within the bounds of considered molecular dynamics model the restrictions for the class of the residual stress distribution functions was specified. 
@article{DVMG_2008_8_2_a1,
     author = {M. A. Guzev and A. A. Dmitriev and N. A. Permyakov},
     title = {Residual stress structure in the molecular dynamics model},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {152--163},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2008_8_2_a1/}
}
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M. A. Guzev; A. A. Dmitriev; N. A. Permyakov. Residual stress structure in the molecular dynamics model. Dalʹnevostočnyj matematičeskij žurnal, Tome 8 (2008) no. 2, pp. 152-163. http://geodesic.mathdoc.fr/item/DVMG_2008_8_2_a1/