caa a22 4500 475839943 CHVBK 20180406123858.0 cr unu---uuuuu 170329e20000501xx s 000 0 eng 10.1023/A:1004552819700 doi (NATIONALLICENCE)springer-10.1023/A:1004552819700 Temperature distribution in an array of moving cracks acting as heat sinks [Elektronische Daten] [Thomas Boeck, Ute Bahr] The temperature distribution in a periodic array of parallel cracks acting as heat sinks is studied for the case of stationary crack motion by use of the Wiener-Hopf method. The problem arises in the investigation of cracks propagating into solid material, where the stresses driving crack motion are caused by heat transfer from the solid through the crack surfaces. The solution is given in terms of Fourier integrals involving infinite products. The heat-flux distribution in the vicinity of the crack tips is computed analytically from the high wavenumber asymptotics. Numerical solutions of the temperature distribution are presented for several values of the Biot and Péclet number, and the effect of varying these parameters is discussed qualitatively. Kluwer Academic Publishers, 2000 stationary crack propagation nationallicence heat diffusion nationallicence strip geometry nationallicence Wiener-Hopf technique nationallicence Boeck Thomas Center for Physical Fluid Dynamics, Dept. of Mechanical Engineering, Dresden University of Technology, 01062, Dresden, Germany aut Bahr Ute Institute for Theoretical Physics, Dept. of Physics, Dresden University of Technology, 01062, Dresden, Germany aut Journal of Engineering Mathematics Kluwer Academic Publishers 37/4(2000-05-01), 289-303 0022-0833 37:4<289 2000 37 10665 https://doi.org/10.1023/A:1004552819700 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1004552819700 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Boeck Thomas Center for Physical Fluid Dynamics, Dept. of Mechanical Engineering, Dresden University of Technology, 01062, Dresden, Germany aut NATIONALLICENCE 700 1- Bahr Ute Institute for Theoretical Physics, Dept. of Physics, Dresden University of Technology, 01062, Dresden, Germany aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers 37/4(2000-05-01), 289-303 0022-0833 37:4<289 2000 37 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer