Kinematically extended continuum theories: Correlation between microscopical deformation and macroscopical strain measures

T. Ebinger, H. Steeb, S. Diebels

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

The present work investigates the correlation between macrocscopical deformation modes and microscopical deformation modes. Thereby, the macroscopical deformation is represented by the strain-like quantities of the according macroscopical continuum theory while the microscopical deformation is expressed in the form of a Taylor series expansion. The use of an energy criterion makes it possible to derive a quantitative relation between microscopical and macroscopical deformation. The procedure is applied to different kinematically extended continuum theories on the macroscopical level. The investigation may help to select an optimal macroscopical continuum theory instead of choosing a theory based on phenomenological observations, whereby the optimal theory ist that one, which reflects the microscopical deformation behaviour best. The microscopical deformation behaviour depends on the topology of the microstructure under consideration. Thus, the optimal theory is affected by the topology of the microstructure.
Original languageEnglish
Pages (from-to)64-86
Number of pages23
JournalTechnische Mechanik
Volume28
Issue number1
Publication statusPublished - 2008
Externally publishedYes

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