Geodesic
Dynamic deformation of PMMA: the influence of viscoelastic properties
Čelâbinskij fiziko-matematičeskij žurnal, Tome 1 (2016) no. 3, pp. 92-107

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Earlier using 1D simulation within the framework of Maxwell model we showed that the viscoelastic properties of PMMA, on the one hand, affect velocity of weak shock waves, on the other hand, have a little influence on the compression pulse attenuation. In this paper we generalize the model of PMMA deformation onto 2D case and use it for further investigations. We perform 2D simulations of dynamics of a diverging shock wave generated by a pressure pulse applied to PMMA surface and high-velocity impact of PMMA plates. These simulations also show that the viscoelastic properties slightly affect the compression pulse dynamics in PMMA, but substantially determine the shape of colliding plates. The obtained results mean that calculations within the hydrodynamic approximation can be used for interpretation of the experiments on the rear spallation of PMMA.
Keywords: polymeric material, polymethylmethacrylate, shock wave, viscoelastic media, Maxwell model. 
@article{CHFMJ_2016_1_3_a7,
     author = {T. V. Popova and A. E. Mayer and K. V. Khishchenko},
     title = {Dynamic deformation of {PMMA:} the influence of viscoelastic properties},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {92--107},
     publisher = {mathdoc},
     volume = {1},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2016_1_3_a7/}
}
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T. V. Popova; A. E. Mayer; K. V. Khishchenko. Dynamic deformation of PMMA: the influence of viscoelastic properties. Čelâbinskij fiziko-matematičeskij žurnal, Tome 1 (2016) no. 3, pp. 92-107. http://geodesic.mathdoc.fr/item/CHFMJ_2016_1_3_a7/