Khludnev, A. M. On the contact of two plates one of which has a crack. (Russian) Zbl 0895.73060 Prikl. Mat. Mekh. 61, No. 5, 882-894 (1997). The author investigates the contact of two plates one of which has a vertical crack up to the external boundary. The crack is described as a surface in \(\mathbb{R}^3\) by the relations \(y = \psi(x)\), \(x\in [0,1]\), \(-\varepsilon\leq z\leq \varepsilon\), \(2\varepsilon\) is the crack thickness, \(\psi\in H^3_0(0,1)\). The author proves solvability of the problem and studies a functional which describes the crack opening. Reviewer: A.A.Kaminskij (Kyïv) Cited in 2 Documents MSC: 74A55 Theories of friction (tribology) 74M15 Contact in solid mechanics 74K20 Plates Keywords:solvability; crack opening; functional × Cite Format Result Cite Review PDF