caa a22 4500 469125446 CHVBK 20180323133149.0 cr unu---uuuuu 170328e19920301xx s 000 0 eng 10.1007/BF00028913 doi (NATIONALLICENCE)springer-10.1007/BF00028913 Crack motion and hydrodynamic flow [Elektronische Daten] [Franz Embacher, Herwig Peterlik] Continuing the time-coordinate of certain elastodynamic mode-III crack solutions to imaginary values, one obtains the potential of a stationary hydrodynamic flow around an infinitely thin plate. The inverse of this procedure is applied to a well-known axisymmetric flow potential, and a new exact solution for the propagation of a crack with finite length is derived. This solution does not directly correspond to a realistic experimental situation, as it is symmetric under time reversal (t → −t). However, for large positive times it may be viewed as an asymptotic description of the displacement field when the crack tips approach their final velocity. Its energy-release-rate is shown to be time-independent, hence providing a solution for the crack equation of motion G=2γ. From a mathematical point of view, the solution presented is singled out by its ‘Lorentz'-symmetry and should be regarded as a kind of fundamental solution whose knowledge could provide the exact solution of the more realistic problem of a crack initially (t → −∞) at rest and approaching the situation presented here at t → ∞. Kluwer Academic Publishers, 1992 Embacher Franz Institute for Theoretical Physics, University of Vienna, Boltzmanngasse 5, A-1090, Vienna, Austria aut Peterlik Herwig Institute for Solid State Physics, University of Vienna, Boltzmanngasse 5, A-1090, Vienna, Austria aut International Journal of Fracture Kluwer Academic Publishers 54/2(1992-03-01), 101-116 0376-9429 54:2<101 1992 54 10704 https://doi.org/10.1007/BF00028913 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00028913 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Embacher Franz Institute for Theoretical Physics, University of Vienna, Boltzmanngasse 5, A-1090, Vienna, Austria aut NATIONALLICENCE 700 1- Peterlik Herwig Institute for Solid State Physics, University of Vienna, Boltzmanngasse 5, A-1090, Vienna, Austria aut NATIONALLICENCE 773 0- International Journal of Fracture Kluwer Academic Publishers 54/2(1992-03-01), 101-116 0376-9429 54:2<101 1992 54 10704 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer