caa a22 4500 397572468 CHVBK 20180308164845.0 cr unu---uuuuu 161202e199602 xx s 000 0 eng 10.1093/qjmam/49.1.107 doi (NATIONALLICENCE)oxford-10.1093/qjmam/49.1.107 THE VISCOELASTIC MOVING-CONTACT PROBLEM WITH INERTIAL EFFECTS INCLUDED [Elektronische Daten] [J. M. GOLDEN, G. A. C. GRAHAM] A general integral equation is derived for the problem of a rigid punch moving across a viscoelastic half-space with inertial effects included. When the half-space is modelled as a standard linear solid, it is shown that the problem is formally equivalent to a non-inertial problem with the half-space response described by a continuous-spectrum viscoelastic function. The resulting integral equation is solved numerically. The pressure function and the coefficient of hysteretic friction are plotted for various materials. The discussion is restricted to punch velocities less than the lowest speed of Rayleigh waves in the material. The theory predicts that internal frictional losses, and therefore hysteretic friction, are low for large and small viscoelastic decay times. In some cases, this gives rise to a hump-shaped curve when hysteretic friction is plotted against velocity, just as for the non-inertial theory. However, because hysteretic friction always increases sharply as the lowest Rayleigh speed is approached, its behaviour as a function of velocity, for some material densities, may be monotonic. © Oxford University Press Articles nationallicence GOLDEN J. M. Department of Mathematics, Statistics and Computer Science, Dublin Institute of Technology Kevin Street, Dublin 8 aut GRAHAM G. A. C. Applied and Computational Mathematics Program, Simon Fraser University Burnaby, BC, Canada V5A 1S6 aut The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 49/1(1996-02), 107-135 0033-5614 49:1<107 1996 49 qjmamj https://doi.org/10.1093/qjmam/49.1.107 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/qjmam/49.1.107 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- GOLDEN J. M. Department of Mathematics, Statistics and Computer Science, Dublin Institute of Technology Kevin Street, Dublin 8 aut NATIONALLICENCE 700 1- GRAHAM G. A. C. Applied and Computational Mathematics Program, Simon Fraser University Burnaby, BC, Canada V5A 1S6 aut NATIONALLICENCE 773 0- The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 49/1(1996-02), 107-135 0033-5614 49:1<107 1996 49 qjmamj Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford