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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Ernesti, Felix, author. A computational multi-scale approach for brittle materials / Felix Ernesti. Karlsruhe : KIT Scientific Publishing, 2023. 1 online resource (x, 239 pages). text txt rdacontent computer c rdamedia online resource cr rdacarrier Schriftenreihe Kontinuumsmechanik im Maschinenbau Description based on online resource; title from PDF title page (KIT Scientific Publishing, viewed May 11, 2023). 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. 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. Mathematical models. 1000156458 |
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German |
format |
eBook |
author |
Ernesti, Felix, |
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Ernesti, Felix, A computational multi-scale approach for brittle materials / Schriftenreihe Kontinuumsmechanik im Maschinenbau 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. |
author_facet |
Ernesti, Felix, |
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f e fe |
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Ernesti, Felix, |
title |
A computational multi-scale approach for brittle materials / |
title_full |
A computational multi-scale approach for brittle materials / Felix Ernesti. |
title_fullStr |
A computational multi-scale approach for brittle materials / Felix Ernesti. |
title_full_unstemmed |
A computational multi-scale approach for brittle materials / Felix Ernesti. |
title_auth |
A computational multi-scale approach for brittle materials / |
title_new |
A computational multi-scale approach for brittle materials / |
title_sort |
a computational multi-scale approach for brittle materials / |
series |
Schriftenreihe Kontinuumsmechanik im Maschinenbau |
series2 |
Schriftenreihe Kontinuumsmechanik im Maschinenbau |
publisher |
KIT Scientific Publishing, |
publishDate |
2023 |
physical |
1 online resource (x, 239 pages). |
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. |
isbn |
1000156458 |
callnumber-first |
Q - Science |
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QA - Mathematics |
callnumber-label |
QA401 |
callnumber-sort |
QA 3401 E764 42023 |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
511 - General principles of mathematics |
dewey-full |
511.8 |
dewey-sort |
3511.8 |
dewey-raw |
511.8 |
dewey-search |
511.8 |
work_keys_str_mv |
AT ernestifelix acomputationalmultiscaleapproachforbrittlematerials AT ernestifelix computationalmultiscaleapproachforbrittlematerials |
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(CKB)5710000000118088 (NjHacI)995710000000118088 (EXLCZ)995710000000118088 |
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A computational multi-scale approach for brittle materials / |
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1787553513024258048 |
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