Exfoliation the flexible continuous reinforcements of the free edge of a semiinfinite plate

Authors

  • M. M. Kundrat National University of Water Management and Natural Resources Use, 33028, Rivne, Soborna str., 11
  • A. M. Kundrat National University of Water Management and Natural Resources Use, 33028, Rivne, Soborna str., 11
  • Yu. V. Zablotska National University of Water Management and Natural Resources Use, 33028, Rivne, Soborna str., 11

DOI:

https://doi.org/10.17721/1812-5409.2019/1.21

Abstract

Exfoliation the not extensible flexible stiffener heated up to the set temperature is investigated in conditions of a plane problem thermoelasticity. The flexible stiffener is placed at edge of the semi-infinite plates in conditions ideal thermal contact and action the stretching loading on the plate. Development of localized zones of prefracture (the weakened contact) is precede to separation the stiffener in vicinities of her ends. They can correspond to regions of damages, plastic deformation, partial break of connection and another precedes. On area outside of zones of prefracture the perfect mechanical contact is remaining. The analytical decision of a problem is shown to problem Koshy for differential equation of the first order and realized its numerical analysis. Physically correct limited stresses and deformations are received in all points of a composition. Tangents stresses also satisfy to relationship of pair law. Basic part of loading from reinforcements to plate is transfer in neighbourhood of reinforcement ends. Interference of power and temperature loadings on flexible stiffener separation is investigated.

Key words: reinforcement, exfoliation, plane problem, zone of prefracture.

Pages of the article in the issue: 94-97

Language of the article: Ukrainian

References

KUNDRAT, M. M. (1999) Limit equilibrium and local fracture the lining plate with reinforcement. Bulletin Rivne State Technical University. Water conservation and hydraulic construction. p.p. 200–204.

KUNDRAT, A. M. (2001) The fracture in connecting two reinforcements. In Journal of Rivne state Sc. Univ. Collection of Science. works. (3). p.p. 205-210.

SULYM G. T., KUNDRAT M. M. (2003) Termopruzhna rivnovaha piv bezmezhnoyi plastyny z zhorstkoyu hnuchkoyu nakladkoyu. In Tezy dop. P’yatoho ukrayins’ko-polskoho naukovoho sympozyumu “Aktual’ni zadachi mekhaniky neodnoridnykh struktur”, 18–23 veresnya 2003 r., – L’viv-Luts’k, p.p. 54–55.

MUSKHELISHVILI N. I. (1966) Nekotorye osnovnyye zadachi matematicheskoy teorii uprugosti. Moskva: Nauka.

PRUSOV I. A. (1972) Nekotorye zadachi termouprugosti. Minsk: Beloruskiy universitet.

No 1 (2019)

Downloads

How to Cite

Kundrat, M. M., Kundrat, A. M., & Zablotska, Y. V. (2019). Exfoliation the flexible continuous reinforcements of the free edge of a semiinfinite plate. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, (1), 94–97. https://doi.org/10.17721/1812-5409.2019/1.21

Issue

No. 1 (2019)

Section

Differential equations, mathematical physics and mechanics

License

Authors who publish with this journal agree to the following terms:

  1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).