Analysis of the Viscoelastic Sphere Impact against a Viscoelastic Uflyand-Mindlin Plate considering the Extension of Its Middle Surface
Joint Authors
Rossikhin, Yury A.
Shitikova, Marina V.
Trung, Phan Thanh
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-17
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Rossikhin, Yury A.& Shitikova, Marina V.& Trung, Phan Thanh. 2017. Analysis of the Viscoelastic Sphere Impact against a Viscoelastic Uflyand-Mindlin Plate considering the Extension of Its Middle Surface. Shock and Vibration،Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1204696
Modern Language Association (MLA)
Rossikhin, Yury A.…[et al.]. Analysis of the Viscoelastic Sphere Impact against a Viscoelastic Uflyand-Mindlin Plate considering the Extension of Its Middle Surface. Shock and Vibration No. 2017 (2017), pp.1-12.
https://search.emarefa.net/detail/BIM-1204696
American Medical Association (AMA)
Rossikhin, Yury A.& Shitikova, Marina V.& Trung, Phan Thanh. Analysis of the Viscoelastic Sphere Impact against a Viscoelastic Uflyand-Mindlin Plate considering the Extension of Its Middle Surface. Shock and Vibration. 2017. Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1204696
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1204696