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- W2077336021 abstract "Starting from the covariant formulation of the linear theory of elasticity the elastic strain and stress fields inside and outside precipitates are calculated using appropriate affine coordinates. Explicit integral formulae well suited for numerical evaluation are derived for ellipsoidal, cylindrical, polyhedral, and plate-like particles as well as rhomboidal and elliptical dislocation loops, allowing for an arbitrary homogeneous stress-free strain and elastic anisotropy. The application of the results in precipitate structure analysis by diffraction contrast image matching will be considered in a subsequent paper. Die kovariante Formulierung der linearen Elastizitätstheorie wird zur Berechnung der elastischen Deformations- und Spannungsfelder innerhalb und außerhalb von Ausscheidungen unter Verwendung geeigneter affiner Koordinaten benutzt. Für ellipsoid-förmige, zylindrische, polyedrische und plättchenförmige Teilchen sowie rhombische und elliptische Versetzungsringe werden unter Voraussetzung einer homogenen spannungsfreien Deformation beliebiger Struktur und elastischer Anisotropie explizite Integralformeln hergeleitet, die sich gut zur numerischen Auswertung eignen. Über die Anwendung der Ergebnisse zur Strukturuntersuchung an Ausscheidungen durch Beugungskontrastanalyse wird in einer nachfolgenden Arbeit berichtet." @default.
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- W2077336021 title "Strain and stress field calculations for precipitates and dislocation loops using affine transformations" @default.
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