caa a22 4500 469124938 CHVBK 20180323133148.0 cr unu---uuuuu 170328e19921201xx s 000 0 eng 10.1007/BF00048953 doi (NATIONALLICENCE)springer-10.1007/BF00048953 Higher order asymptotic field at the moving crack tip [Elektronische Daten] [Yonglin Xu, Leon Keer] The higher order asymptotic field at a smoothly curved dynamic crack tip under mixed loading conditions is investigated by the use of a moving coordinate system and the mathematical framework of the complex potential theory. On the basis of the general representation for stress functions in a moving coordinate system, the recurrence formulae for determining the higher order solutions from lower order ones are derived. The calculation in this paper shows that the higher order asymptotic field can be separated into two parts: the steady state asymptotic field which depends on the crack velocity; and the non-steady state asymptotic field which is determined by the time rate of change of the intensity factor, the crack tip acceleration and rotation speed. The second order solution giving the sress distributions at the moving crack tip are presented. The important result that the experimentally observed crack branching velocities are estimated to be much smaller than Yoffe's prediction might be explained by this second order asymptotic solution. Kluwer Academic Publishers, 1992 Xu Yonglin Department of Civil Engineering, Northwestern University, Evanston, Illinois, USA aut Keer Leon Department of Civil Engineering, Northwestern University, Evanston, Illinois, USA aut International Journal of Fracture Kluwer Academic Publishers 58/4(1992-12-01), 325-343 0376-9429 58:4<325 1992 58 10704 https://doi.org/10.1007/BF00048953 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00048953 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Xu Yonglin Department of Civil Engineering, Northwestern University, Evanston, Illinois, USA aut NATIONALLICENCE 700 1- Keer Leon Department of Civil Engineering, Northwestern University, Evanston, Illinois, USA aut NATIONALLICENCE 773 0- International Journal of Fracture Kluwer Academic Publishers 58/4(1992-12-01), 325-343 0376-9429 58:4<325 1992 58 10704 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer