 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13653 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8223
|
| In English (Mech. Solids): | | 5430 |
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| V.V. Glagolev, L.V. Glagolev, I.M. Lavit, A.I. Lutkhov, and A.A. Markin, "Finding the J-Integral for Elastoplastic Deformation of an Adhesion Layer of Finite Thickness in an Overlap Joint," Mech. Solids. 60 (8), 6599-6608 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
8 |
Pages |
6599-6608 |
| DOI |
10.1134/S0025654425605476 |
| Title |
Finding the J-Integral for Elastoplastic Deformation of an Adhesion Layer of Finite Thickness in an Overlap Joint |
| Author(s) |
V.V. Glagolev (Tula State University, Tula, 300012 Russia, vadim@tsu.tula.ru)
L.V. Glagolev (Tula State University, Tula, 300012 Russia, len4ic92@gmail.com)
I.M. Lavit (Tula State University, Tula, 300012 Russia, IgorLavit@yandex.ru)
A.I. Lutkhov (Tula State University, Tula, 300012 Russia, tip460@mail.ru)
A.A. Markin (Tula State University, Tula, 300012 Russia, markin-nikram@yandex.ru) |
| Abstract |
The method of representing the J-integral during deformation of an elastic-plastic adhesive
layer connecting elastic cantilevers using additive components is studied. The additive components of
the J-integral are responsible for a specific aspect of deformation: stresses on the end surface of the
adhesive layer; the reversible part of the deformations and the irreversible part of the deformations.
Two approaches to solving the problems of loading samples connected by overlapping using mixed
mode I+II loading of the adhesive layer are analyzed: an analytical solution and the finite element
method. The load analysis showed the presence of stress vectors at the boundary of the adhesive layer
directly adjacent to the free surface. The results obtained demonstrate a high degree of correspondence
in terms of average tangential and diagonal stresses in the elasticity zone, as well as average tangential
stresses in the area of elastic-plastic deformation of the adhesive layer. During numerical modeling of
problems involving mixed load modes I+II, the components I and II of the J-integral load modes were
calculated, and its reversible and irreversible parts were identified. The studies revealed that thinning
of the adhesive layer affects all average stresses within the elastic model, as well as the average diagonal
components of the stress tensor for elastic-plastic behavior of the layer, with an increase in the length
of the zone of irreversible deformations. When the layer thickness is zero, where the J-integral determines the singular stress distribution, a similarity was found between the solutions of problems
describing the behavior of a thin adhesive layer in both elastic-plastic and elastic deformation modes. |
| Keywords |
adhesive layer, finite element method, J-integral, Ansys |
| Received |
10 May 2025 | Revised |
11 August 2025 | Accepted |
24 December 2025 |
| Link to Fulltext |
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