On the equilibrium of elastic bodies containing thin rigid inclusions
Leugering G, Khludnev AM (2010)
Publication Type: Journal article
Publication year: 2010
Journal
Publisher: MAIK Nauka/Interperiodica (МАИК Наука/Интерпериодика)
Book Volume: 55
Pages Range: 18--22
Volume: 55
Issue: 1
Journal Issue: 1
DOI: 10.1134/S1028335810010040
Abstract
The practice of production of composite materials with thin fibers requires a correct description of problems of the equilibrium of elastic bodies containing thin rigid inclusions. Of large importance is also an adequate description of the interaction of thin inclusions with cracks in an elastic body. As is known, inclusions can delaminate from the matrix, thereby forming a crack in the elastic body. A traditional approach to the description of cracks in elastic bodies consists in the use of equality-type boundary conditions at the crack faces. This approach frequently leads to unphysical results; for example, the corresponding solutions can yield a mutual penetration of the crack faces (see, e.g., [1, 2]). In the recent years, there was performed a wide cycle of investigations in the theory of cracks with boundary conditions corresponding to the mutual nonpenetration of the crack edges. In this case, the boundary conditions at the crack faces have the form of a set of equalities and inequalities. For acquaintance with such models, one can turn to [3, 4], where numerous appropriate references can be found. In this works, we suggest a model of an elastic body containing thin rigid inclusions with a property of delamination. For describing the delamination, we use inequality-type boundary conditions eliminating the mutual penetration of the crack faces.
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APA:
Leugering, G., & Khludnev, A.M. (2010). On the equilibrium of elastic bodies containing thin rigid inclusions. Doklady Physics, 55(1), 18--22. https://dx.doi.org/10.1134/S1028335810010040
MLA:
Leugering, Günter, and A. M. Khludnev. "On the equilibrium of elastic bodies containing thin rigid inclusions." Doklady Physics 55.1 (2010): 18--22.
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