Summary
The stress-concentration problem in asymmetric elasticity around a circular hole in an infinite elastic medium is analysed. Normal and tangential tractions and radial couple-stress are prescribed on the circular boundary and tractions at infinity. Complex variable technique is applied to obtain the solution of the problem. As particular cases, the solutions of the concentrated force, double force, concentrated moment and rivet problems are obtained. It has been found that the effects of the stresses and couple-stresses are governed by Poisson's ratio and two parameters which are dependent on the material property of the asymmetric medium.
Zusammenfassung
Das ebene asymmetrische Problem der Spannungskonzentration um ein kreisförmiges Loch in einem unendlichen elastischen Körper wird untersucht. Normal-, Schub- und radiale Momentenspannungen am Lochrand und Normalspannungen im Unendlichen sind vorgegeben. Die Lösung wird mit Hilfe der Methode der komplexen Variablen erhalten. Als Spezialfälle werden die einer Einzelkraft, zweier entgegengesetzt gerichteter gleich großer Einzelkräfte, einem Moment und dem Nietproblem entsprechenden Lösungen hergeleitet. Es zeigt sich, daß Spannungen und Momentenspannungen von der Poisson-Zahl und zwei von den Materialeigenschaften des asymmetrischen Körpers abhängigen Parametern beeinflußt werden.
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Bhargava, R.D., Ghosh, S.K. On the stress concentration problem around a circular hole in plane asymmetric elasticity. Acta Mechanica 21, 127–140 (1975). https://doi.org/10.1007/BF01172832
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DOI: https://doi.org/10.1007/BF01172832