Some Applications of Mathematical Programming in Geomechanics
Some applications are discussed of mathematical programming algorithms to the solution of problems of geotechnical engineering concerning: a) elasto-plastic analysis, b) limit analysis, c) the determination of the average mechanical properties of soil or
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NUMERICAL METHODS AND CONSTITUTIVE MODELLING IN GEOMECHANICS
EDITED BY C.S. DESAI UNIVERSITY OF ARIZONA G.GIODA UNIVERSITY OF UDINE AND
POLITECNICO DI MILANO
Springe•-Verlag
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Wien GmbH
Le spese di stampa di questo volume sono in parte coperte da contributi del Consiglio N azionale delle Ricerche.
This volume contains 234 illustrations.
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. © 1990 by Springer-Verlag Wien Originally published by CISM, Udine in 1990.
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 978-3-211-82215-9 ISBN 978-3-7091-2832-9 (eBook) DOI 10.1007/978-3-7091-2832-9
PREFACE
For many problems in geomechanics that cannot be solved by using conventional procedures, the modern numerical methods provide a powerful tool for analysis and design. These methods, characterized by the discretization of continua and by the use of algorithms suited for programmable computers, allow solution of complex problems involving nonlinear and time dependent material behaviour, arbitrary geometries, initial or in situ conditions, multi-phase media, different loadings (static, quasi-static, cyclic and dynamic), and such environmetalfactors as temperature,fluids and pollutant movement. As a result, numerical methods and associated important topics, such as constitutive modelling for mechanical response of soils, rocks, interfaces and joints, mathematical aspects related to convergence, accuracy; stability of time integration schemes, and computer aided engineering and graphics, have received significant attention of researchers and practicing engineers. The present volume is based on the lectures presented during the advanced course on Numerical Methods in Geomechanics Including Constitutive Modelling organized by the International Centre for Mechanical Sciences, Udine, Italy during 10-14 July 1989. It presents a review of the current state and of up-to-date developments of a wide range of topics including theoretical aspect~, laboratory testing, field verification and practical applications of numerical methods and constitutive models. In particular, the problems discussed include various numerical methods, theory, testing and verification of constitutive models; implementation of constitutive models in nonlinear computational procedures; verification with respect to laboratory and field observation of boundary value problems; mathematical programming; unconfined seepage flows; dynamic and consolidation analysis of saturated and partially saturated
non linear porous media; interpretation of field measurements; time integration for nonlinear and dynamic
