Iutam/Iacm/Iabem Symposium on Advanced Mathematical and Computational Mechanics Aspects of the Boundary Element Method

by Unknown

• ISBN13: 9780792370819
• ISBN10: 0792370813
• eBook ISBN(s): 9789401597937
• Format: Hardcover
• Copyright: 2001-10-01
• Publisher: Kluwer Academic Pub

Summary

During the last two decades the boundary element method has experienced a remarkable evolution. Contemporary concepts and techniques leading to the advancements of capabilities and understanding of the mathematical and computational aspects of the method in mechanics are presented. The special emphasis on theoretical and numerical issues, as well as new formulations and approaches for special and important fields of solid and fluid mechanics are considered. Several important and new mathematical aspects are presented: singularity and hypersingular formulations, regularity, errors and error estimators, adaptive methods, Galerkin formulations, coupling of BEM-FEM and non-deterministic (stochastic and fuzzy) BEM formulations. Novel developments and applications of the boundary element method in various fields of mechanics of solids and fluids are considered: heat conduction, diffusion and radiation, non-linear problems, dynamics and time-depending problems, fracture mechanics, thermoelasticity and poroelasticity, aerodynamics and acoustics, contact problems, biomechanics, optimization and sensitivity analysis problems, ill posed and inverse problems, and identification problems.

Table of Contents

Preface	ix
Committees and Sponsors	xi
A dual reciprocity boundary element formulation for transient non-linear conduction-radiation problems	1	(12)
J. Blobner
G. Kuhn
R. Bialecki
M. Hribersek
A general algorithm for the direct numerical evaluation of element integrals in the 2D Galerkin BEM	13	(12)
M. Bonnet
M. Guiggiani
Applications of boundary integral equations for solving some identification problems in elasticity	25	(12)
H.D. Bui
A. Constantinescu
Evolutionary BEM computation in shape optimization problems	37	(14)
T. Burczynski
W. Beluch
A. Dlugosz
G. Kokot
W. Kus
P. Orantek
A regularized direct symmetric galerkin BIE formulation for three-dimensional elastoplasticity	51	(12)
B. Burgardt
M. Bonnet
A. L. Van
Implementation of symmetric galerkin boundary element in quasi-brittle fracture mechanics	63	(12)
A. Carini
A. Salvadori
On the true and spurious eigensolutions using circulants for real-part dual BEM	75	(12)
J. T. Chen
S. R. Kuo
Y. C. Cheng
Hypersingular formulation for 3-D fracture mechanics. A simple numerical approach	87	(12)
J. Dominguez
M. P. Ariza
Shapes identification of 3-D obstacles	99	(12)
V. Droge
F. Hartmann
Integral transform methods in 3-D dynamic fracture mechanics	111	(12)
P. Fedelinski
Solution of plane thermoelasticity problems of fracture mechanics by the displacement and temperature discontinuity method	123	(10)
A. Goltsev
Investigating unnamed singularities	133	(12)
M. Guiggiani
A. Frangi
Boundary element method, homogenization and heat conduction in composit materials	145	(16)
M. Kaminski
Some mathematical aspects of the BEM in elastic scattering of acoustic waves	161	(12)
A. Karafiat
Non-singular reciprocity based BEM/FEM formulation	173	(16)
V. Kompis
L. Jakubovicova
F. Konkol
Numerical analysis of biological tissue freezing process	189	(12)
E. Majchrzak
M. Dziewonski
Analysis of bio-heat transfer in the system blood vessel-biological tissue	201	(12)
E. Majchrzak
B. Mochnacki
Rigid inclusions in frictionless unilateral contact with the matrix: identification of maximum stiffness structures by means of BEM formulations and sensitivity analyses	213	(14)
V. Mallardo
C. Alessandri
Numerical model of cast composite solidification	227	(10)
B. Mochnacki
R. Szopa
Recent developments on a boundary element method in aerodynamics	237	(12)
L. Morino
G. Bernardini
Application of a regularized SGBEM formulation to FEM-BEM coupling in elastostatics	249	(10)
S. Mouhoubi
L. Ulmet
M. Bonnet
On a unified procedure for the numerical evaluation of singular and quasi-singular double integrals	259	(10)
M.A.M. Noronha
N.A. Dumont
Solving inverse boundary problems in continous casting utilizing sensitivity coefficients and the Bounary Element Method	269	(12)
I. Nowak
A.J. Nowak
Boundary element method for two-dimensional shallow water acoustic wave propagation	281	(12)
J.A.F. Santiago
L.C. Wrobel
Solution of fluid dynamics problems in porous media by DRBEM	293	(10)
B. Sarler
Dynamic poroelasticity treated by a time domain boundary element method	303	(12)
M. Schanz
On adaptivity in boundary element method	315	(12)
H.R. Schulz
O. Steinbach
W.L. Wendland
Electrophoretic motion of a charged particle	327	(12)
A. Sellier
On incremental boundary element procedures for frictionally constrained interfaces	339	(12)
A.P.S. Selvadurai
Theoretical and computational aspects of the fuzzy boundary element methods	351	(14)
J. Skrzypczyk
T. Burczynski
A boundary integral method for transient heat diffusion in isotropic non-homogenous media	365	(12)
A. Stefanescu
A. Kassab
A comparative study of three systems of boundary integral equations in the potential theory	377	(18)
R. Vodicka
V. Mantic
HP-adaptive BE modeling of the human ear acoustics	395	(14)
T. Walsh
L. Demkowicz
Quadratic and singular boundary elements for cracks and notches in three dimensions	409	(10)
J.O. Watson
Dynamic crack analysis by hypersingular and non-hypersingular time-domain BEM	419
Ch. Zhang
A. Savaidis