Special Shape Functions in Boundary Integral Method

In hydraulic engineering the phenomenon of piping is known in the context of dikes, dams and weirs which are built on a sandy foundation. It generally occurs below a water retaining structure on top of granular material. The term piping refers to channels

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Springer-Verlag Berlin Heidelberg GmbH

M.TANAKA Department of Mechanical Engineering Shinshu U niversity 500 Wakasato Nagano 380 Japan C.A. BREBBIA Computational Mechanics Institute 52 Henstead Road Southampton S012DD U.K.

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British Library Cataloguing in Publication Data

Boundary elements VIII: proceedings of the 8th international conference, Tokyo, Japan, September 1986 1. Engineering mathematics 2. Boundar value problems I. Brebbia, C.A. 11. Keramidas, G.A. 620'.001'515353 TA347.B69

ISBN 978-3-662-22337-6

ISBN 978-3-662-22335-2 (eBook)

DOI 10.1007/978-3-662-22335-2

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. Under §54 of the German Copyright Law where copies are made for other than private use, a fee is payable to 'Verwertungsgesellschaft Wort', Munich.

© Springer-Verlag Berlin Heidelberg 1986 Originally published by Computational Mechanics Publications in 1986. Softcover reprint ofthe hardcover 1st edtion 1986 The use of registered names trademarks ete. in this publication does not imply, even in the absence of a specific statemenuhat such names are exempt from the relevant protective laws and regulations- and therefore free for general use.

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CONTENTS VOLUMEI PREFACE INTRODUCTION - The Future ofthe Boundary Element Method C.A. Brebbia

SECTION I HEAT TRANSFER Thermo-Elastic Analysis by Coupling Procedure Using Boundary and Finite Elements T. Ohkami, Y. Mitsui

3

Approximate Solutions with Heat Polynomials far Heat Conduction Problems by Boundary Residual Method N. Kitahara, H. Yano and A. Kieda

17

Uniform Convergence Theorem for Boundary Element Solutions ofHeat Equation with the Second Initial-Boundary Value Problem Y. Iso

29

Boundary Element Method Applied to Spontaneous Combustion ofCoal Storage S. Takahashi, M. Morita, K. Hayashi and T. Nishimoto

35

A Boundary Element Method for Nonlinear Transient Heat Conduction Problems M. Kikuta, H. Togoh and M. Tanaka

47

A Dual Reciprocity Boundary Element Formulation for Axisymmetric Diffusion Problems L. C. Wrobel, j. C F. Teiles and CA. Brebbia

59

Accuracy of Boundary Element Method in Non-Stationary Heat Transfer Problems j. Kihara, T. Umeda and K. Taneda

71

SECTION 11 ACOUSTICS Underwater Sound Radiated From a Vibrating Ship Hull

83

Radiated Sound Analysis from Vibrating Structures U sing Boundary Element Method M. Yaoi, I. Hagiwara and Y. Sakurai

95

ACOUST/BOOM - A Noise Level Predicting and Reducing Computer Code S. Suzuki, M. Imai and S. Ishiyama

105

M. Bessho, H. Kawabe and Y. Iwasaki

SECTION III STRESS CONCENTRATION - FATIGUE AND FRACTURE MECHANICS Stress Concentration Factor of U nidirectional Fibre Reinforced Composite with a Hole H. Ishikawa, H. Takagi

117

Stress Analysis of Bolted Connections by Boundary Element Method

123

M. Tanaka

A New Family ofCrack Elements for Str