Evolution of a crack with kink and non-penetration

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概要

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• The nonlinear evolution problem for a crack with a kink in elastic body is considered. This nonlinear formulation accounts the condition of mutual non-penetration between the crack faces. The kinking crack is presented with the help of two unknown shape parameters of the kink angle and of the crack length, which minimize an energy due to the Griffith hypothesis. Based on the obtained results of the shape sensitivity analysis, solvability of the evolutionary minimization problem is proved, and the necessary conditions for the optimal crack are derived.

• 社団法人 日本数学会の論文
• 2008-10-01

著者

• Tani Atusi

  Department Of Mathematics Keio University

• Tani Atusi

  Deparment Of Mathematics Keio University

• KHLUDNEV Alexander

  Lavrent'ev Institute of Hydrodynamics

• KOVTUNENKO Victor

  Institute for Mathematics Karl-Franzens-University of Graz

• Khludnev Alexander

  Lavrent'ev Institute Of Hydrodynamics

関連論文

• Solvability of Equations for Motion of a Vortex Filament with or without Axial Flow
• On the First Initial-Boundary Value Problem of Compressible Viscous Fluid Motion
• Evolution of a crack with kink and non-penetration
• On the First Initial-Boundary Value Problem of the Generalized Burgers' Equation

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