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Smooth domain method for crack problems. (English) Zbl 1067.74056
Summary: We consider equilibrium problems for elastic bodies in domains with cracks. Inequality type boundary conditions are imposed at the crack describing a mutual nonpenetration between the crack faces. A new formulation for such problems is proposed in smooth geometrical domains for two-dimensional elasticity and for Kirchhoff plates.

MSC:
74R10 Brittle fracture
74B05 Classical linear elasticity
74K20 Plates
74M15 Contact in solid mechanics
35Q72 Other PDE from mechanics (MSC2000)
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