The Emergence of Cosserat-type Structures in Metal Plasticity

The Emergence of Cosserat-type Structures in Metal Plasticity

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We study an energy functional able to describe low energy configurations of a two dimensional lattice with dislocations in a nonlinear elasticity regime. The main result can be described as follows: configurations of energy comparable to the lattice spacing consist of piecewise constant microrotatio...

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Bibliographic Details
Main Author: Lauteri, Gianluca
Other Authors: Luckhaus, Stephan
Format: Doctoral Thesis
Language:English
Published: 2017
Subjects:
info:eu-repo/classification/ddc/500
ddc:500
Variationsrechnung
calculus of variations
Online Access:http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-225513
https://ul.qucosa.de/id/qucosa%3A15674
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spelling ndltd-DRESDEN-oai-qucosa-de-qucosa-156742021-03-30T05:05:31Z The Emergence of Cosserat-type Structures in Metal Plasticity urn:nbn:de:bsz:15-qucosa-225513 eng We study an energy functional able to describe low energy configurations of a two dimensional lattice with dislocations in a nonlinear elasticity regime. The main result can be described as follows: configurations of energy comparable to the lattice spacing consist of piecewise constant microrotations with small angle grain boundaries between them. Moreover, we also give bounds to the energy of particular configurations describing a small angle symmetric tilt grain boundary. info:eu-repo/classification/ddc/500 ddc:500 Variationsrechnung calculus of variations Lauteri, Gianluca Luckhaus, Stephan Alberti, Giovanni Universität Leipzig 2017-05-29 2016-10-20 2017-05-10 info:eu-repo/semantics/openAccess doc-type:doctoralThesis info:eu-repo/semantics/doctoralThesis doc-type:Text https://ul.qucosa.de/id/qucosa%3A15674 https://ul.qucosa.de/api/qucosa%3A15674/attachment/ATT-0/
collection NDLTD
language English
format Doctoral Thesis
sources NDLTD
topic info:eu-repo/classification/ddc/500
ddc:500
Variationsrechnung
calculus of variations
spellingShingle info:eu-repo/classification/ddc/500
ddc:500
Variationsrechnung
calculus of variations
Lauteri, Gianluca
The Emergence of Cosserat-type Structures in Metal Plasticity
description We study an energy functional able to describe low energy configurations of a two dimensional lattice with dislocations in a nonlinear elasticity regime. The main result can be described as follows: configurations of energy comparable to the lattice spacing consist of piecewise constant microrotations with small angle grain boundaries between them. Moreover, we also give bounds to the energy of particular configurations describing a small angle symmetric tilt grain boundary.
author2 Luckhaus, Stephan
author_facet Luckhaus, Stephan
Lauteri, Gianluca
author Lauteri, Gianluca
author_sort Lauteri, Gianluca
title The Emergence of Cosserat-type Structures in Metal Plasticity
title_short The Emergence of Cosserat-type Structures in Metal Plasticity
title_full The Emergence of Cosserat-type Structures in Metal Plasticity
title_fullStr The Emergence of Cosserat-type Structures in Metal Plasticity
title_full_unstemmed The Emergence of Cosserat-type Structures in Metal Plasticity
title_sort emergence of cosserat-type structures in metal plasticity
publishDate 2017
url http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-225513
https://ul.qucosa.de/id/qucosa%3A15674
https://ul.qucosa.de/api/qucosa%3A15674/attachment/ATT-0/
work_keys_str_mv AT lauterigianluca theemergenceofcosserattypestructuresinmetalplasticity
AT lauterigianluca emergenceofcosserattypestructuresinmetalplasticity
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