A computational multi-scale approach for brittle materials / / Felix Ernesti.

Materials of industrial interest often show a complex microstructure which directly influences their macroscopic material behavior. For simulations on the component scale, multi-scale methods may exploit this microstructural information. This work is devoted to a multi-scale approach for brittle mat...

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Bibliographic Details
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Place / Publishing House:Karlsruhe : : KIT Scientific Publishing,, 2023.
Year of Publication:2023
Language:German
Series:Schriftenreihe Kontinuumsmechanik im Maschinenbau
Physical Description:1 online resource (x, 239 pages).
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Table of Contents:
  • Introduction
  • 1
  • Fundamental concepts
  • 7
  • Characterizing digital microstructures by the Minkowskibased QNT
  • 55
  • Computing the effective crack energy on a combinatorially consistent grid
  • 99
  • The effective crack energy of heterogeneous and locally anisotropic microstructures
  • 137
  • On the influence of the boundary conditions when computing the effective crack energy
  • 163
  • Summary and conclusions
  • 191
  • Minkowski tensors for specific shapes
  • 201
  • Performance of additional penalty factor choices for ADMM
  • 205
  • Bibliography
  • 207
  • Copyright.