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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100 | 1 | |a Ernesti, Felix, |e author. | |
245 | 1 | 2 | |a A computational multi-scale approach for brittle materials / |c Felix Ernesti. |
264 | 1 | |a Karlsruhe : |b KIT Scientific Publishing, |c 2023. | |
300 | |a 1 online resource (x, 239 pages). | ||
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338 | |a online resource |b cr |2 rdacarrier | ||
490 | 0 | |a Schriftenreihe Kontinuumsmechanik im Maschinenbau | |
588 | |a Description based on online resource; title from PDF title page (KIT Scientific Publishing, viewed May 11, 2023). | ||
520 | |a 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 materials. Based on a homogenization result for free discontinuity problems, we present FFT-based methods to compute the effective crack energy of heterogeneous materials with complex microstructures. | ||
505 | 0 | |a 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. | |
650 | 0 | |a Mathematical models. | |
776 | |z 1000156458 | ||
906 | |a BOOK | ||
ADM | |b 2023-05-26 00:46:31 Europe/Vienna |f system |c marc21 |a 2023-05-06 19:30:30 Europe/Vienna |g false | ||
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