Zusammenfassung
Die vorliegende Arbeit gibt einen Beweis für die Eindeutigkeit der Lösung der Traktionsrandwertaufgabe in der zweidimensionalen linearen Elastostatik für ein beschränktes Bereich das einen Riss enthält.
Summary
This paper contains a proof of the uniqueness of solution to the traction boundary value problem in linear elastostatics for a bounded domain containing a crack. Attention is restricted to the two-dimensional case, but the elastic material considered need not be homogeneous or isotropic. In addition to the hypotheses assumed in the standard uniqueness theorem of Kirchhoff, it is required that the displacement field be bounded near the crack tips.
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References
Knops R. J. and Payne L. E., Uniqueness Theorems in Linear Elasticity, Springer-Verlag, Heidelberg, 1971.
Muskhelishvili N. I., Some Basic Problems of the Mathematical Theory of Elasticity, Second English Edition, P. Noordhoff Ltd., Groningen, 1963.
Additional information
The results communicated in this paper were obtained in the course of an investigation partially supported by Contract N00014-67-A-0094-0020 of the California Institute of Technology with the Office of Naval Research in Washington, D.C.
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Knowles, J.K., Pucik, T.A. Uniqueness for plane crack problems in linear elastostatics. J Elasticity 3, 155–160 (1973). https://doi.org/10.1007/BF00052889
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DOI: https://doi.org/10.1007/BF00052889