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The physical significance of the area of an isochromatic crack tip fringe loop

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Abstract

A relationship between the stress intensity factorsK 1 andK 2 and the area enclosed by a fringe loop is derived from certain characteristic geometrical features of static and dynamic isochromatic crack tip fringe loops. The influence of crack speed and the additional regular stress field σ0x onto the angle of approach of isochromatics to the crack tip as well as the relation between oscillation, pulsation, and rotation of fringe loops and the quantitiesK 1,K 2, and σ0x is discussed.

Zusammenfassung

Gewisse geometrische charakteristische Eigenschaften dienen zur Herleitung einer Beziehung zwischen den SpannungsintensitätsfaktorenK 1 undK 2 und der von den um die Rissspitze laufenden Isochromatenschleifen eingegrenzten Fläche. Der Einfluß der Rissgeschwindigkeit und des riss-parallelen Spannungsfeldes σ0x auf den Einlaufwinkel der Isochromaten in die Riss-spitze wird untersucht, und die Kopplung zwischen dem Oszillations-, Pulsations- und Drehbewegungen der Isochromatenschleifen und den GrößenK 1,K 2 und σ0x wird diskutiert.

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Rossmanith, H.P. The physical significance of the area of an isochromatic crack tip fringe loop. Z. angew. Math. Phys. 33, 219–229 (1982). https://doi.org/10.1007/BF00944972

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  • DOI: https://doi.org/10.1007/BF00944972

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