Stress Singularities in Viscoelastic Media and Related Problems
Stress singularities at sharp notch and crack tips in viscoelastic media are considered for both homogeneous and inhomogeneous media (particularly bimaterials). In Lecture 1 various invariants for elastic media are briefly reviewed and extended to the vis
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Series Editors: The Reetars of CISM
Sandor Kaliszky- Budapest Mahir Sayir- Zurich Wilhelm Schneider - Wien
The Secretary General of CISM Giovanni Bianchi - Milan
Executive Editor
Carlo Tasso - Udine
The series presents lecture notes, monographs, edited works and proceedings in the field of Mechanics, Engineering, Computer Science and Applied Mathematics. Purpose of the series in to make known in the international scientific and technical community results obtained in some of the activities organized by CISM, the International Centre for Mechanical Sciences.
INTERNATIONAL CENTRE FOR MECHANICAL SCIENCES COURSES AND LECTURES - No. 356
CRACK AND CONTACT PROBLEMS FOR VISCOELASTIC BODIES
EDITEDBY G.A.C. GRAHAM SIMON FRASER UNIVERSITY AND J.R. WALTON
TEXAS A & M UNIVERSITY
SPRINGER-VERLAG WIEN GMBH
Le spese di stanpa di questo volume sono in parte coperte da contributi del Consiglio Nazionale delle Ricerche.
This volume contains 28 illustrations
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All rights are reserved, whether the whole or part of the material is concemed specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks.
© 1995 by Springer-Verlag Wien Originally published by Springer-Verlag Wien New York in 1995
In order to make this volume available as economically and as rapidly as possible the authors' typescripts have been reproduced in their original forms. This method unfortunately has its typographical limitations but it is hoped that they in no way distract the reader.
ISBN 978-3-211-82686-7 DOI 10.1007/978-3-7091-2694-3
ISBN 978-3-7091-2694-3 (eBook)
PREFACE
These Lecture Notes contain an account of the material presented at the Advanced School on Crack and Contact Problems for Viscoelastic Bodies held at the International Centrefor Mechanical Seiences in Udine (ltaly), September 5-9, 1994. The main emphasis of these Lecture Notes is on constructing solutions to specific problems; however properties ofthe equations ofviscoelasticity that provide the theoretical underpinnings for constructing such solutions are also covered. Particular attention is paid to the solution of crack and contact problems. This work is of interest in the context of polymer fracture, modelling of material behaviour, rebound testing of polymers and the phenomenon of hysteretic friction. The most generat methods of solution presuppose that inertial effects may be neglected. The evolution of stress singularities at notches and at tips of cracks meeting at the inteiface between dissimilar viscoelastic media is traced as a function of viscoelastic material properties; with application to special cases, and extension to anisotropy. For crack problems and contact problems where the contact area varies with time the source of the main difficulty is that the regions over which different types of boundary conditions are prescribed generally vary with time and may not be known apriori. A fundamental decomposition of the hered
