Study of the Relations on a Stationary Flat Strong Discontinuity for a Polymeric Liquid

2021 ◽  
Vol 13 (5) ◽  
pp. 798-809
Author(s):  
A. M. Blokhin ◽  
R. E. Semenko
1983 ◽  
Vol 80 ◽  
pp. 25-30 ◽  
Author(s):  
E.T. Samulski ◽  
D.B. Dupré

2000 ◽  
Vol 3 (6) ◽  
pp. 509-517 ◽  
Author(s):  
Iwona Szymanska ◽  
Hanna Radecka ◽  
Jerzy Radecki ◽  
Marek Pietraszkiewicz ◽  
Oksana Pietraszkiewicz

2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
Yury A. Rossikhin ◽  
Marina V. Shitikova ◽  
Phan Thanh Trung

In the present paper, the problem on impact of a viscoelastic sphere against a viscoelastic plate is considered with due account for the extension of plate’s middle surface and local bearing of sphere and plate’s materials via the Hertz theory. The standard linear solid models with conventional derivatives and with fractional-order derivatives are used as viscoelastic models, respectively, outside and within the contact domain. As a result of impact, transient waves (surfaces of strong discontinuity) are generated in the plate, behind the wave fronts of which up to the boundaries of the contact domain the solution is constructed in terms of one-term ray expansions due to short-time duration of the impact process. The motion of the contact zone occurs under the action of extension forces acting in the plate’s middle surface, transverse force, and the Hertzian contact force. The suggested approach allows one to find the time-dependence of the impactor’s indentation into the target and the Hertzian contact force.


1989 ◽  
Vol 23 (1) ◽  
pp. 253-263 ◽  
Author(s):  
E. Amendola ◽  
C. Carfagna ◽  
L. Nicodemo ◽  
M. R. Nobile

Kobunshi ◽  
1976 ◽  
Vol 25 (3) ◽  
pp. 175-181 ◽  
Author(s):  
Ichitaro UEMATSU ◽  
Yoshiko UEMATSU

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