학술논문

Analysis of a debonding model of two elastic 2D-bars.
Document Type
Article
Source
Fixed Point Theory & Algorithms for Sciences & Engineering. Dec2022, Vol. 2022 Issue 1, p1-14. 14p.
Subject
*DEBONDING
*PSEUDODIFFERENTIAL operators
*HUMIDITY
Language
ISSN
2730-5422
Abstract
This work establishes the existence of a weak solution to a new model for the process of debonding of two elastic 2D-bars caused by humidity and vibrations. A version of the model was first presented in the PCM-CMM-2019 conference in Krakow, Poland, and was published in (Shillor in J. Theor. Appl. Mech. 58(2): 295–305 2020). The existence of a weak solution is proved by regularizing the problem and then setting it in an abstract form that allows the use of tools for pseudo-differential operators and a fixed point theorem. Questions of further analysis of the solutions, effective numerical methods and simulations, as well as possible controls, are unresolved, yet. [ABSTRACT FROM AUTHOR]