Matches in SemOpenAlex for { <https://semopenalex.org/work/W11909135> ?p ?o ?g. }
Showing items 1 to 94 of
94
with 100 items per page.
- W11909135 endingPage "39" @default.
- W11909135 startingPage "27" @default.
- W11909135 abstract "We consider microstructures which are not inherent to the material but occur as a result of deformation or other physical processes. Examples are martensitic twin-structures or dislocation walls in single crystals and microcrack-fields in solids. An interesting feature of all those microstructures is, that they tend to form similar spatial patterns, which hints at a universal underlying mechanism. For purely elastic materials this mechanism has been identified as minimisation of global energy. For non-quasiconvex potentials the minimisers are not anymore continuous deformation fields, but small-scale fluctuations related to probability distributions of deformation gradients, so-called Young measures. These small scale fluctuations correspond exactly to the observed microstructures of the material. The particular features of those, like orientation or volume fractions, can now be calculated via so-called relaxed potentials. We develop a variational framework which allows to extend these concepts to inelastic materials. Central to this framework will be a Lagrange functional consisting of the sum of elastic power and dissipation due to change of the internal state of the material. We will obtain time-evolution equations for the probability-distributions mentioned above. In order to demonstrate the capabilities of the formalism we will show an application to crystal plasticity." @default.
- W11909135 created "2016-06-24" @default.
- W11909135 creator A5083881460 @default.
- W11909135 creator A5088591370 @default.
- W11909135 date "2008-09-23" @default.
- W11909135 modified "2023-10-18" @default.
- W11909135 title "Relaxed Potentials and Evolution Equations for Inelastic Microstructures" @default.
- W11909135 cites W1963612623 @default.
- W11909135 cites W1975655085 @default.
- W11909135 cites W2007016988 @default.
- W11909135 cites W2052498615 @default.
- W11909135 cites W2071744054 @default.
- W11909135 cites W2100025012 @default.
- W11909135 cites W2126360960 @default.
- W11909135 cites W2132995814 @default.
- W11909135 cites W2137142081 @default.
- W11909135 cites W2149144305 @default.
- W11909135 doi "https://doi.org/10.1007/978-1-4020-9090-5_3" @default.
- W11909135 hasPublicationYear "2008" @default.
- W11909135 type Work @default.
- W11909135 sameAs 11909135 @default.
- W11909135 citedByCount "17" @default.
- W11909135 countsByYear W119091352012 @default.
- W11909135 countsByYear W119091352013 @default.
- W11909135 countsByYear W119091352014 @default.
- W11909135 countsByYear W119091352015 @default.
- W11909135 countsByYear W119091352018 @default.
- W11909135 countsByYear W119091352019 @default.
- W11909135 crossrefType "book-chapter" @default.
- W11909135 hasAuthorship W11909135A5083881460 @default.
- W11909135 hasAuthorship W11909135A5088591370 @default.
- W11909135 hasConcept C112680207 @default.
- W11909135 hasConcept C121332964 @default.
- W11909135 hasConcept C121864883 @default.
- W11909135 hasConcept C135402231 @default.
- W11909135 hasConcept C142362112 @default.
- W11909135 hasConcept C153349607 @default.
- W11909135 hasConcept C157972887 @default.
- W11909135 hasConcept C159122135 @default.
- W11909135 hasConcept C191897082 @default.
- W11909135 hasConcept C192562407 @default.
- W11909135 hasConcept C2524010 @default.
- W11909135 hasConcept C26873012 @default.
- W11909135 hasConcept C33923547 @default.
- W11909135 hasConcept C49870271 @default.
- W11909135 hasConcept C558565934 @default.
- W11909135 hasConcept C57879066 @default.
- W11909135 hasConcept C73301696 @default.
- W11909135 hasConcept C74650414 @default.
- W11909135 hasConcept C79186407 @default.
- W11909135 hasConcept C80278974 @default.
- W11909135 hasConcept C87976508 @default.
- W11909135 hasConcept C97355855 @default.
- W11909135 hasConceptScore W11909135C112680207 @default.
- W11909135 hasConceptScore W11909135C121332964 @default.
- W11909135 hasConceptScore W11909135C121864883 @default.
- W11909135 hasConceptScore W11909135C135402231 @default.
- W11909135 hasConceptScore W11909135C142362112 @default.
- W11909135 hasConceptScore W11909135C153349607 @default.
- W11909135 hasConceptScore W11909135C157972887 @default.
- W11909135 hasConceptScore W11909135C159122135 @default.
- W11909135 hasConceptScore W11909135C191897082 @default.
- W11909135 hasConceptScore W11909135C192562407 @default.
- W11909135 hasConceptScore W11909135C2524010 @default.
- W11909135 hasConceptScore W11909135C26873012 @default.
- W11909135 hasConceptScore W11909135C33923547 @default.
- W11909135 hasConceptScore W11909135C49870271 @default.
- W11909135 hasConceptScore W11909135C558565934 @default.
- W11909135 hasConceptScore W11909135C57879066 @default.
- W11909135 hasConceptScore W11909135C73301696 @default.
- W11909135 hasConceptScore W11909135C74650414 @default.
- W11909135 hasConceptScore W11909135C79186407 @default.
- W11909135 hasConceptScore W11909135C80278974 @default.
- W11909135 hasConceptScore W11909135C87976508 @default.
- W11909135 hasConceptScore W11909135C97355855 @default.
- W11909135 hasLocation W119091351 @default.
- W11909135 hasOpenAccess W11909135 @default.
- W11909135 hasPrimaryLocation W119091351 @default.
- W11909135 hasRelatedWork W1972254111 @default.
- W11909135 hasRelatedWork W2020223780 @default.
- W11909135 hasRelatedWork W2053623882 @default.
- W11909135 hasRelatedWork W2063388647 @default.
- W11909135 hasRelatedWork W2353409022 @default.
- W11909135 hasRelatedWork W2491222380 @default.
- W11909135 hasRelatedWork W2954496326 @default.
- W11909135 hasRelatedWork W2969297038 @default.
- W11909135 hasRelatedWork W3015963878 @default.
- W11909135 hasRelatedWork W4378801625 @default.
- W11909135 isParatext "false" @default.
- W11909135 isRetracted "false" @default.
- W11909135 magId "11909135" @default.
- W11909135 workType "book-chapter" @default.