On the Solution of Contact Problems with Tresca Friction by the Semismooth* Newton Method

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12310%2F22%3A43904870" target="_blank" >RIV/60076658:12310/22:43904870 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/chapter/10.1007/978-3-030-97549-4_59" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-030-97549-4_59</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-97549-4_59" target="_blank" >10.1007/978-3-030-97549-4_59</a>

Result language
angličtina
Original language name
On the Solution of Contact Problems with Tresca Friction by the Semismooth* Newton Method
Original language description
An equilibrium of a linear elastic body subject to loading and satisfying the friction and contact conditions can be described by a variational inequality of the second kind and the respective discrete model attains the form of a generalized equation. To its numerical solution we apply the semismooth* Newton method by Gfrerer and Outrata (2019) in which, in contrast to most available Newton-type methods for inclusions, one approximates not only the single-valued but also the multi-valued part. This is performed on the basis of limiting (Morduchovich) coderivative. In our case of the Tresca friction, the multi-valued part amounts to the subdifferential of a convex function generated by the friction and contact conditions. The full 3D discrete problem is then reduced to the contact boundary. Implementation details of the semismooth* Newton method are provided and numerical tests demonstrate its superlinear convergence and mesh independence.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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