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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Place / Publishing House: | Karlsruhe : : KIT Scientific Publishing,, 2023. |
Year of Publication: | 2023 |
Language: | German |
Series: | Schriftenreihe Kontinuumsmechanik im Maschinenbau
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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.