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UNILATERAL PROBLEMS IN STRUCTURAL ANALYSIS PROCEEDINGS OF THE SECOND MEETING ON UNILATERAL PROBLEMS IN STRUCTURAL ANALYSIS RAVELLO,SEPTEMBER 22-24, 1983

EDITEDBY

G. DEL PIERO UNIVERSITA' DI UDINE

F. MACERI II UNIVERSITA' DIROMA

SPRINGER-VERLAG WIEN GMBH

Le spese di stampa di questo volume sono in parte coperte da contributi oei Consiglio Nazionale delle Ricerche.

This volume contains 83 illustrations.

This work is subject to copyright. 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. © 1985 by Springer-Ver1agWien Originally published by Springer-Verlag Wien New York in 1985

ISBN 978-3-211-81859-6 ISBN 978-3-7091-2632-5 (eBook) DOI 10.1007/978-3-7091-2632-5

PREFACE

In Nature, unilateral constraints are more frequent than bilateral; one could say that the first ones are the rufe, and the second ones the exception. For this reason, unilateral problems were considered early in Mechanics. Unfortunately, their mathematical formulation involves inequalities, and this causes serious mathematical difficulties. Forthis reason, it became customary to develop the mechanical theories under the conventional assumption that all constraints were bilateral. Only in recent years the development of branches of Mathematics such as Linear Programming, Convex Analysis and Variational Inequalities determined a renewed interest in Unilateral Problems. Moreover, the new solution techniques looked very promising for solving some problems in Structural Engineering, and this supplied the theory with an important fteld of application. At present, Unilateral Problems appear a particularly favourable meeting point for mathematicians, mechanicians and engineers. In Italy, many specialists from these areas are now working on this subject, under a research project supported by the National Ministry of Education. The desire of recording the progress made in the different branches of the subject, that is, proper statement of problems, characterization of solution, numerical computation techniques, induced us to organize a first workshop on Unilateral Problems. It was held in the Prescuding Valley, near Udine, in May 1982. The character of the seminarwas informal, with oral communications and /arge time left to free discussions. All participants agreed with the proposal of a second meeting, with enlarged participation and with publication of the presented communications. The second meeting was held in Ravello in September 1983, and was attended by about thirty-five participants, coming from seven Countries.

Preface

Tbe present Volume collects tbe communications presented at tbe Meeting in Ravello. Tbey deal witb unilateral problems coming from various brancbes of Mecbanics: Contact, Friction, Fracture and Fluid Mecbanics. Looking at tbese papers, we get convinced tbat mucb of tbe tbeory and a good number of solution tecbniques bave been well