Boundary Integral Equation Methods in Eigenvalue Problems of Elastodynamics and Thin Plates

Boundary Integral Equation Methods in Eigenvalue Problems of Elastodynamics and Thin Plates
Author :
Publisher : Elsevier
Total Pages : 292
Release :
ISBN-10 : 9781483294476
ISBN-13 : 1483294471
Rating : 4/5 (471 Downloads)

Book Synopsis Boundary Integral Equation Methods in Eigenvalue Problems of Elastodynamics and Thin Plates by : M. Kitahara

Download or read book Boundary Integral Equation Methods in Eigenvalue Problems of Elastodynamics and Thin Plates written by M. Kitahara and published by Elsevier. This book was released on 2014-12-03 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The boundary integral equation (BIE) method has been used more and more in the last 20 years for solving various engineering problems. It has important advantages over other techniques for numerical treatment of a wide class of boundary value problems and is now regarded as an indispensable tool for potential problems, electromagnetism problems, heat transfer, fluid flow, elastostatics, stress concentration and fracture problems, geomechanical problems, and steady-state and transient electrodynamics.In this book, the author gives a complete, thorough and detailed survey of the method. It provides the only self-contained description of the method and fills a gap in the literature. No-one seriously interested in eigenvalue problems of elasticity or in the boundary integral equation method can afford not to read this book. Research workers, practising engineers and students will all find much of benefit to them.Contents: Introduction. Part I. Applications of Boundary Integral Equation Methods to Eigenvalue Problems of Elastodynamics. Fundamentals of BIE Methods for Elastodynamics. Formulation of BIEs for Steady-State Elastodynamics. Formulation of Eigenvalue Problems by the BIEs. Analytical Treatment of Integral Equations for Circular and Annular Domains. Numerical Procedures for Eigenvalue Problems. Numerical Analysis of Eigenvalue Problems in Antiplane Elastodynamics. Numerical Analysis of Eigenvalue Problems in Elastodynamics. Appendix: Dominant mode analysis around caverns in a semi-infinite domain. Part II. Applications of BIE Methods to Eigenvalue Problems of Thin Plates. Fundamentals of BIE Methods for Thin Plates. Formulation of BIEs for Thin Plates and Eigenvalue Problems. Numerical Analysis of Eigenvalue Problems in Plate Problems. Indexes.

Boundary Integral Equation Methods in Eigenvalue Problems of Elastodynamics and Thin Plates Related Books

Boundary Integral Equation Methods in Eigenvalue Problems of Elastodynamics and Thin Plates
Language: en
Pages: 292
Authors: M. Kitahara
Categories: Mathematics
Type: BOOK - Published: 2014-12-03 - Publisher: Elsevier

GET EBOOK

The boundary integral equation (BIE) method has been used more and more in the last 20 years for solving various engineering problems. It has important advantag
Boundary Integral Equations
Language: en
Pages: 783
Authors: George C. Hsiao
Categories: Mathematics
Type: BOOK - Published: 2021-03-26 - Publisher: Springer Nature

GET EBOOK

This is the second edition of the book which has two additional new chapters on Maxwell’s equations as well as a section on properties of solution spaces of M
Strongly Elliptic Systems and Boundary Integral Equations
Language: en
Pages: 376
Authors: William Charles Hector McLean
Categories: Mathematics
Type: BOOK - Published: 2000-01-28 - Publisher: Cambridge University Press

GET EBOOK

This 2000 book provided the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains.
Linear Integral Equations
Language: en
Pages: 427
Authors: Rainer Kress
Categories: Mathematics
Type: BOOK - Published: 2013-12-04 - Publisher: Springer Science & Business Media

GET EBOOK

This book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to ma
Boundary Integral Equation Methods in Eigenvalue
Language: en
Pages: 0
Authors: Michihiro Kitahara
Categories: Boundary element methods
Type: BOOK - Published: 1985 - Publisher:

GET EBOOK