Elasticity Tensor Identification in Elastic Body with Thin Inclusions: Non-coercive Case

Khludnev, A. M.; Rodionov, Alexander A

doi:10.1007/s10957-023-02216-1

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

2024

Publication Types

Select...

Article4

Relationship

Self Cite0

Independent4

Authors

Journals

Cited by 4 publications

(1 citation statement)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…General approaches to non-coercive boundary value problems for elliptic equations can be found in the book [27]. Various equilibrium problems for elastic bodies containing thin inclusions in non-coercive cases are investigated in the works [28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Thin inclusion at the junction of two elastic bodies: non-coercive case

Khludnev

2024

Phil. Trans. R. Soc. A.

View full text Add to dashboard Cite

This article addresses an analysis of the non-coercive boundary value problem describing an equilibrium state of two contacting elastic bodies connected by a thin elastic inclusion. Nonlinear conditions of inequality type are imposed at the joint boundary of the bodies providing a mutual non-penetration. As for conditions at the external boundary, they are Neumann type and imply the non-coercivity of the problem. Assuming that external forces satisfy suitable conditions, a solution existence of the problem analysed is proved. Passages to limits are justified as the rigidity parameters of the inclusion and the elastic body tend to infinity. This article is part of the theme issue ‘Non-smooth variational problems with applications in mechanics’.

show abstract

Section: Introductionmentioning

confidence: 99%