Abstract: Connection (adhesive layer, welded seam, etc.) of solid bodies at the macro-level looks like a zerothickness object (surface or line). At the micro-level, the connection is a three- or two-dimensional zone of complex geometry. Often it has no recognizable boundaries and/or inhomogeneous structure. Nevertheless [1,2], there exists a general relationship between the microscopic stress–strain state in the connecting zone and the stress–strain state at the macroscopic interface surfaces. It was demonstrated in [1,2] that independently of the specific form of this relationship, the microscopic stress–strain state does not influence the macroscopic interface conditions. It is the so-called erasing of the individual properties of the connection. In other words, the connection has no own properties and does not appear as an independent object in the interface elasticity theory problem. The opposite situation takes place if we address the strength properties of the connected bodies. Based on the same relationships [1,2], we demonstrate the interface surface demonstrates on the macro-level the own strength property. Namely, there exists a macroscopic strength criterion for the interface that differs from the strength criteria for the connected bodies. Thus, the interface is an independent object for the fracture mechanics. Both the features of the joint noted above are phenomena of asymptotic nature. In reality, the thickness of the joint is small but nonzero. In this case, the asymptotic provides us with the so-called leading terms. It means that in reality the microstructural properties of the connection slightly influence the macroscopic model and the macroscopic strength criterion may be used in practice as an approximation. Additional mathematical analysis is required to estimates of the accuracy of these approximations. It is impossible to obtain a simple relationship between the micro- and macroscopic stress–strain fields. However, the theoretical technique [1,2] can be implemented using the FEM software (with some additional programming). An example of the construction of the strength criterion of explosive welding seam is presented.

Cite: Annin B.D. , Kolpakov A.G. , Rakin S.I.
Interface strength criterion for elastic bodies
Continuum Mechanics and Thermodynamics. 2022. N35. P.1445–1457. DOI: 10.1007/s00161-022-01146-z WOS Scopus РИНЦ OpenAlex

Dates:

Submitted:	Jan 29, 2022
Accepted:	Aug 10, 2022
Published online:	Sep 2, 2022

Identifiers:

Web of science:	WOS:000849138800001
Scopus:	2-s2.0-85153043944
Elibrary:	59727488
OpenAlex:	W4294489391

Citing:

DB	Citing
OpenAlex	2
Scopus	2
Web of science	1

Altmetrics: