Latest News

About CAMQ

Information for Authors

Editorial Board

Browse CAMQ Online

Subscription and Pricing

CAMQ Contacts

CAMQ Home

 

Volume 2,     Number 1,     Winter 1994

 

ENERGY LOSS IN STEADY-STATE SOLUTIONS
TO VISCOELASTIC CRACK PROBLEMS
J.M. GOLDEN AND G.A.C. GRAHAM

Abstract. The average rate of dissipation of mechanical energy per cycle is considered for a cracked viscoelastic body under two types of periodic loading, namely a tensile-compressive cycle and an asymmetric bending cycle involving partial closure at one end only. An expression is given for the energy loss per cycle in terms of the rate of work done by the boundary forces. It is shown that the rate of work done by the boundary stresses and the rate of energy dissipation are independent of whether the stresses are taken to act on the infinite boundary or on the crack face, even when periodic full or partial closure occurs. Extension criteria for cracks under a bending moment are discussed. Some numerical results are presented for the average rate of energy loss per cycle.

 

Download PDF Files
 
(Subscribers Only)

© 2005, Canadian Applied Mathematics Quarterly (CAMQ)