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On hyperelastic solid with thin rigid inclusion and crack subjected to global injectivity condition.
- Source :
- Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences; 8/23/2024, Vol. 382 Issue 2277, p1-16, 16p
- Publication Year :
- 2024
-
Abstract
- The paper investigates a problem concerning the equilibrium of a solid body containing a thin rigid inclusion and a crack. It is assumed that the body is hyperelastic, therefore, it is described within the framework of finite strain theory. One of the peculiarities of this problem is a global injectivity constraint, which prevents the body, the crack faces and the inclusion from both mutual and self penetration. First, the paper deals with the differential formulation of the problem. Next, we consider energy minimization, showing that the latter provides the weak formulation of the former. Finally, the existence of the weak solution is demonstrated through the use of the variational technique. This article is part of the theme issue 'Non-smooth variational problems with applications in mechanics'. [ABSTRACT FROM AUTHOR]
- Subjects :
- ELASTICITY
EQUILIBRIUM
SELF
SOLIDS
Subjects
Details
- Language :
- English
- ISSN :
- 1364503X
- Volume :
- 382
- Issue :
- 2277
- Database :
- Complementary Index
- Journal :
- Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 178977135
- Full Text :
- https://doi.org/10.1098/rsta.2024.0115