A Further Synthesis of Sextic and Integral Theories for Dislocations and Line Forces in Anisotropic Media

A further synthesis of the sextic and the integral theories for the elastic fields of line forces and dislocations in anisotropio media is made. The expressions derived for the distortions and displacements are believed to be the most convenient ones for purposes of numerical computation. In addition expressions are given for the derivatives of the field quantities for use in Lothe-Brown-Indenbom-Orlov theorems which allow for the construction of three dimensional fields from two dimensional data. Some numerical examples for cubic media are included. Es wird eine weitere Synthese der sechsdimensionalen Theorie (“Sextio”) und der Integral-theorien fur die elastischen Felder der Linienkrafte und Versetzungen in anisotropen Medien durchgefuhrt. Es wird angenommen, das die fur die Verzerrungen und Verschiebungen abgeleiteten Ausdrucke die geeignetsten fur numerische Rechnungen sind. Zusatzlioh werden Ausdrucke fur die Ableitungen der Feldgrosen fur den Gebrauch in den Lothe-Brown-Indenbom-Theoremen gegeben, die die Konstruktion dreidimensionaler Felder aus zweidimensionalen Werten gestatten. Einige numerische Beispiele fur kubische Medien werden eingeschlossen.

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