Shape derivative of the energy functional for the bending of elastic plates with thin defects

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Abstract

The paper deals with an equilibrium problem for a homogeneous isotropic elastic plate with a thin rigid inclusion and interfacial crack. We provide an explicit formula for the first shape derivative of the energy functional in the direction of a given vector field by means of a volume integral. For specific examples of the vector field, we derive some representations of the formula in terms of path-independent contour integrals.

Original languageEnglish
Article number012084
Number of pages7
JournalJournal of Physics: Conference Series
Volume894
Issue number1
DOIs
Publication statusPublished - 22 Oct 2017

Keywords

  • RIGID INCLUSION
  • INTEGRALS
  • CRACK

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