On unilateral contact problems with friction for an elastic body with cracks

On unilateral contact problems with friction for an elastic body with cracks Full article

Conference

ANALYSIS OF INVERSE PROBLEMS THROUGH PARTIAL DIFFERENTIAL EQUATIONS AND RELATED TOPICS
08-10 Jan 2020 , Kyoto

Source

Analysis of inverse problems through partial differential equations and related topics
Compilation, 2021.

Output data

Year: 2021, Pages: 43-58 Pages count : 16

Authors

Furtsev Alexey Igorevich ¹ , Kovtunenko Victor Anatolʹevich ^1,2 , Itou Hiromichi ³ , Rudoy Evgeny Mikhailovich ^1,4 , Tani Atusi ⁵

Affiliations

1	Lavrentyev Institute of Hydrodynamics
2	University of Graz
3	Tokyo University of Science
4	Novosibirsk State University
5	Keio University

This expository article deals with contact problems with friction for a linearized ( visco )elasticity in two dimension, which are arising from a wide variety of phenomena in mechanical engineering and concerning with some inverse problems and control problems. Contact conditions for cracks are so-called non-penetration conditions defined as unilateral conditions on the displacements of bodies to exclude nonphysical phenomenon such as mutual penetration of crack faces, see [11] for the details. In the present paper, mathematical results obtained in [9] and [5] are introduced and moreover, dynamic unilateral contact problems are discussed.

Furtsev A.I. , Kovtunenko V.A. , Itou H. , Rudoy E.M. , Tani A.
On unilateral contact problems with friction for an elastic body with cracks
In compilation Analysis of inverse problems through partial differential equations and related topics. 2021. – C.43-58. РИНЦ

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