Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Bücher
Zeitschriften
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
MTZ-Fachkongress

Antriebe und Energiesysteme von morgen


Austausch von Automobil- und Energiewirtschaft

Am 14./15. Mai geht es in Chemnitz um die Mobilitätswende durch Elektro- und Wasserstofffahrzeuge.
Erweiterte Suche
Anmelden
nach oben
Erschienen in:
Anisotropic Elasticity Kapitel lesen Erstes Kapitel lesen

2021 | OriginalPaper | Buchkapitel

15. Boundary Element Analysis

verfasst von : Chyanbin Hwu

Erschienen in: Anisotropic Elasticity with Matlab

Verlag: Springer International Publishing

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Finite element method (FEM) and boundary element method (BEM) are two important and popular techniques for practical engineering problems. The main advantages of BEM over FEM are the reduction of the problem dimension by one and the exact satisfaction of certain boundary conditions for particular problems if their associated fundamental solutions are embedded in boundary element formulation. To know how BEM works, an overview will be presented in the first Section of this Chapter. To employ the special fundamental solutions for certain particular problems, some fundamental solutions derived from the Green’s functions presented in the previous Chapters are shown in Sects. 15.2 and 15.3 for two-dimensional problems and coupled stretching-bending problems with an infinite space, holes, cracks, inclusions, and interfaces, etc. Following these Sections are the BEMs for two-dimensional anisotropic elastic analysis, piezoelectric/MEE analysis, viscoelastic analysis, thermoelastic analysis, dynamic analysis, coupled stretching-bending analysis, contact analysis, and three-dimensional analysis.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren
Vorheriges Kapitel Coupled Stretching-Bending Analysis
Literatur
  1. Aliabadi, M.H., and D. Martín. 1998. Boundary element analysis of two-dimensional elastoplastic contact problems. Engineering Analysis with Boundary Elements 21 (4): 349–360.MATHView Article
  2. Aliabadi, M.H. 2002. The boundary element method: Applications in solids and structures. Chichester: Wiley.MATH
  3. Brebbia, C.A., J.C.F. Telles, and L.C. Wrobel. 1984. Boundary element techniques. New York: Springer.MATHView Article
  4. Chang, H.W., and C. Hwu. 2016. Complete solutions at or near the boundary nodes of boundary elements for coupled stretching-bending analysis. Engineering Analysis with Boundary Elements 72: 89–99.MathSciNetMATHView Article
  5. Chen, Y.C., and C. Hwu. 2011. Boundary element analysis for viscoelastic solids containing interfaces/holes/cracks/inclusions. Engineering Analysis with Boundary Elements 35: 1010–1018.MathSciNetMATHView Article
  6. Chen, Y.C., and C. Hwu. 2014. Boundary element method for vibration analysis of anisotropic elastic plates containing holes, cracks or interfaces. Engineering Analysis with Boundary Elements 40: 22–35.MathSciNetMATHView Article
  7. Deans, S.R. 1983. The Radon transform and some of its applications. New York: Wiley & Sons.MATH
  8. Gaul, L., M. Kögl, and M. Wagner. 2003. Boundary element methods for engineers and scientists. New York: Springer.MATHView Article
  9. Houbolt, J.C. 1950. A recurrence matrix solution for the dynamic response of elastic aircraft. Journal of the Aeronautical Sciences 17: 540–550.MathSciNetView Article
  10. Hsu, C.L., C. Hwu, and Y.C. Shiah. 2019. Three-dimensional boundary element analysis for anisotropic elastic solids and its extension to piezoelectric and magnetoelectroelastic solids. Engineering Analysis with Boundary Elements 98: 265–280.MathSciNetMATHView Article
  11. Hsu, C.W., and C. Hwu, 2020. Green’s functions for unsymmetric composite laminates with inclusions. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 476, 20190437.
  12. Hsu, C.W., and C. Hwu, 2021. Correction of the existing solutions for hole/crack problems of composite laminates under coupled stretching-bending deformation. Composite Structures, 260, 113154.
  13. Hwu, C., and C.Y. Liao. 1994. A special boundary element for the problems of multi-holes, cracks and inclusions. Computers and Structures 51 (1): 23–31.MATHView Article
  14. Hwu, C., 1999. A new BEM for two-dimensional anisotropic elastic solids containing multiple holes, cracks and inclusions. In Chapter 2 of discontinuous materials and structures, ed. M.B. Bush, Advances in boundary element series. Southampton, U.K.: WIT Press/Computational Mechanics Publications.
  15. Hwu, C. 2010a. Anisotropic elastic plates. New York: Springer.MATHView Article
  16. Hwu, C. 2010b. Boundary integral equations for general laminated plates with coupled stretching-bending deformation. Proceedings of the Royal Society, Series A 466: 1027–1054.MathSciNetMATH
  17. Hwu, C. 2012. Boundary element formulation for the coupled stretching -bending analysis of thin laminated plates. Engineering Analysis with Boundary Elements 36: 1027–1039.MathSciNetMATHView Article
  18. Hwu, C., and H.W. Chang. 2015a. Coupled stretching-bending analysis of laminated plates with corners via boundary elements. Composite Structures 120: 300–314.View Article
  19. Hwu, C., and H.W. Chang. 2015b. Singular integrals in boundary elements for coupled stretching-bending analysis of unsymmetric laminates. Composite Structures 132: 933–943.View Article
  20. Hwu, C., C.L. Hsu, and W.R. Chen. 2017a. Corrective evaluation of multi-valued complex functions for anisotropic elasticity. Mathematics and Mechanics of Solids 22 (10): 2040–2062.MathSciNetMATHView Article
  21. Hwu, C., S.T. Huang, and C.C. Li. 2017b. Boundary-based finite element method for two-dimensional anisotropic elastic solids with multiple holes and cracks. Engineering Analysis with Boundary Elements 79: 13–22.MathSciNetMATHView Article
  22. Hwu, C., C.L. Hsu, C.W. Hsu, and Y.C. Shiah. 2019a. Fundamental solutions for two-dimensional anisotropic thermo-magneto-electro-elasticity. Mathematics and Mechanics of Solids 24 (11): 3575–3596.MathSciNetMATHView Article
  23. Hwu, C., W.R. Chen, and T.H. Lo. 2019b. Green’s function of anisotropic elastic solids with piezoelectric or magneto-electro-elastic inclusions. International Journal of Fracture 215: 91–103.View Article
  24. Hwu, C., H.B. Ko, T.H. Lo, and C.W. Hsu. 2020. Evaluation of singular integrals for anisotropic elastic boundary element analysis. Applied Mathematical Modelling 81: 128–143.MathSciNetMATHView Article
  25. Kögl, M., and L. Gaul. 2000. A 3-D boundary element method for dynamic analysis of anisotropic elastic solids. Computer Modeling in Engineering & Sciences 1: 27–43.MATH
  26. Kögl, M., and L. Gaul. 2003. Free vibration analysis of anisotropic solids with the boundary element method. Engineering Analysis with Boundary Elements 27: 107–114.MATHView Article
  27. Liang, Y.C., and C. Hwu. 1996. Electromechanical analysis of defects in piezoelectric materials. Smart Materials and Structures 5: 314–320.View Article
  28. Man, K.W., M.H. Aliabadi, and D.P. Rooke. 1993. BEM frictional contact analysis: Load increment technique. Computers and Structures 47 (6): 893–905.MATHView Article
  29. Man, K.W., M.H. Aliabadi, and D.P. Rooke. 1993. BEM frictional contact analysis: Modelling consideration. Engineering Analysis with Boundary Elements 11: 77–85.MATHView Article
  30. Nardini, D., and C.A. Brebbia, 1982. A new approach to free vibration analysis using boundary elements. In Proceedings 4th international conference on boundary element methods.
  31. Nguyen, V.T., and C. Hwu, 2017. Holes, cracks, or inclusions in two-dimensional linear anisotropic viscoelastic solids. Composites Part B—Engineering 117: 111–123.
  32. Nguyen, V.T., and C. Hwu. 2018. Multiple holes, cracks, and inclusions in anisotropic viscoelastic solids. Mechanics of Time-Dependent Materials 22: 187–205.View Article
  33. Nguyen, V.T., and C. Hwu. 2019. Boundary element method for two-dimensional frictional contact problems of anisotropic elastic solids. Engineering Analysis with Boundary Elements 108: 49–59.MathSciNetMATHView Article
  34. Nguyen, V.T., and C. Hwu, 2020a. Indentation by multiple rigid punches on two-dimensional anisotropic elastic or viscoelastic solids. International Journal of Mechanical Sciences 178: 105595.
  35. Nguyen, V.T., and C. Hwu, 2020b. Time-stepping method for frictional contact of anisotropic viscoelastic solids. International Journal of Mechanical Sciences 184: 105836.
  36. Nguyen, V.T., and C. Hwu. 2020c. Boundary element method for contact between multiple rigid punches and anisotropic viscoelastic foundation. Engineering Analysis with Boundary Elements 118: 295–305.MathSciNetMATHView Article
  37. Partridge, P.W. 2000. Towards criteria for selecting approximation functions in the dual reciprocity method. Engineering Analysis with Boundary Elements 24: 519–529.MATHView Article
  38. Sherman, J., and W.J. Morrison. 1949. Adjustment of an inverse matrix corresponding to changes in the elements of a given column or a given row of the original matrix. The Annals of Mathematical Statistics 20: 621.
  39. Shiah, Y.C., C.L. Hsu, and C. Hwu. 2014. Direct volume-to-surface integral transformation for 2D BEM analysis of anisotropic thermoelasticity. Computer Modeling in Engineering & Sciences 102 (4): 257–270.MathSciNetMATH
  40. Shiah, Y.C., C.L. Hsu, and C. Hwu. 2018. Analysis of 2D anisotropic thermoelasticity involving constant volume heat source by directly transformed boundary integral equation. Engineering Analysis with Boundary Elements 93: 44–52.MathSciNetMATHView Article
  41. Wylie, C.R. 1975. Advanced engineering mathematics. New York: McGraw-Hill.MATH
  42. Xie, L., C. Hwu, and C. Zhang. 2016. Advanced methods for calculating green’s function and its derivatives for three-dimensional anisotropic elastic solids. International Journal of Solids and Structures 80: 261–273.View Article
Metadaten
Titel
Boundary Element Analysis
verfasst von
Chyanbin Hwu
Copyright-Jahr
2021
Buch
Anisotropic Elasticity with Matlab

Print ISBN: 978-3-030-66675-0

Electronic ISBN: 978-3-030-66676-7

Copyright-Jahr: 2021

DOI
https://doi.org/10.1007/978-3-030-66676-7_15

Premium Partner

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen. 

    Zur Marktübersicht
    Bildnachweise