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Selected Topics in Boundary Integral Formulations for Solids and Fluids

  • Book
  • © 2002

Overview

Editors:
  1. Vladimir Kompiš

    1. University of Žilina, Slovakia

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Part of the book series: CISM International Centre for Mechanical Sciences (CISM, volume 433)

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Table of contents (14 chapters)

  1. Front Matter

    Pages ii-ix
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  2. Introduction to nonlinear continuum mechanics

    • V. Kompiš
    Pages 1-9

  3. Finite Displacements in Reciprocity Based Multi-Domain BE/FE Formulations

    • Vladimir Kompiš, Pavol Novák, Marián Handrik
    Pages 11-29

  4. Stress Smoothing in Large Strain, Large Rotation Problems

    • V. Kompiš, J. Búry
    Pages 31-39

  5. Special Topics in Multi-Domain BEM Formulations

    • V. Kompiš
    Pages 41-49

  6. BEM Representation of Diffusion-Convection Equations

    • V. Kompiš, F. Konkol’
    Pages 51-59

  7. A Symmetric Hybrid Boundary Element Method for Acoustical Problems

    • Lothar Gaul, Marcus Wagner, Wolfgang Wenzel
    Pages 61-69

  8. A FEM/HBEM Approach for the Simulation of Noise Radiation from a Rolling Tire

    • Lothar Gaul, Marcus Wagner, Matthias Fischer, Udo Nackenhorst, Bodo Nolte
    Pages 71-78

  9. About the Numerical Solution of the Equations of Piezoelectricity

    • Martin Kögl, Lothar Gaul
    Pages 79-89

  10. Transient Viscoelastodynamic Boundary Element Formulations

    • Lothar Gaul, Martin Schanz
    Pages 91-106

  11. A Hybrid Boundary Element Approach without Singular Boundary Integrals

    • Lothar Gaul, Friedrich Moser
    Pages 107-116

  12. The Boundary Contour Method

    • Subrata Mukherjee
    Pages 117-150

  13. The Boundary Node Method

    • Subrata Mukherjee
    Pages 151-179

  14. Symmetric Galerkin BEM in 3D Elasticity: Computational Aspects and Applications to Fracture Mechanics

    • Novati Giorgio, Frangi Attilio
    Pages 181-207

  15. Boundary contour method for plane problems in a dual formulation with quadratic shape functions

    • György Szeidl, Sándor Szirbik
    Pages 209-232
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Keywords

About this book

The book outlines special approaches using singular and non-singular, multi-domain and meshless BEM formulations, hybrid- and reciprocity-based FEM for the solution of linear and non-linear problems of solid and fluid mechanics and for the acoustic fluid-structure interaction. Use of Trefftz functions and other regularization approaches to boundary integral equations (BIE), boundary contour and boundary node solution of BIE, sensitivity analysis, shape optimization, error analysis and adaptivity, stress and displacement derivatives in non-linear problems smoothing using Trefftz polynomials and other special numerical approaches are included. Applications to problems such as noise radiation from rolling bodies, acoustic radiation in closed and infinite domains, 3D dynamic piezoelectricity, Stefan problems and coupled problems are included.

Editors and Affiliations

  • University of Žilina, Slovakia

    Vladimir Kompiš

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