Skip to main content
SpringerLink
Log in
Book cover

Encyclopedia of Continuum Mechanics pp 1–9Cite as

Boundary Element Method for Composite Laminates

  • Living reference work entry
  • First Online:

  • 272 Accesses

Synonyms

Boundary integral equations and solution for composite laminates; Laminate solution by BEM

Definition

The boundary element method (BEM) is a numerical technique to solve engineering/physical problems formulated in terms of boundary integral equations. Composite laminates are assemblages of stacked different materials layers, generally consisting of variously oriented fibrous composite materials.

Generalized Plane Strain Problem

Let us consider an anisotropic, cylindrical, elastic body having cross section Ω with boundary Γ. The body is referred to the coordinate system xyz with the z-axis directed as the cylinder generatrices.

Governing Equations

Under the hypothesis of generalized plain strain (ε zz  = 0), the elastic state of the body is described in terms of the displacement vector \(\boldsymbol {u}= \begin {Bmatrix} u_x & u_y & u_z \end {Bmatrix}^T\) whose components depend on the x and y coordinates only. Introducing the strain vector \(\boldsymbol {\varepsilon }=\begin...

This is a preview of subscription content, log in via an institution.

References

  • Aliabadi MH (2002) The boundary element methods. Volume 2: applications in solids and structures. Wiley, Chichester

    Google Scholar 

  • Banerjee PK, Butterfield R (1981) Boundary element methods in engineering science. McGraw-Hill, New York

    MATH  Google Scholar 

  • Betti E (1872) Teoria dell’elasticit. Il Nuovo Cimento 12:7–10

    Google Scholar 

  • Daví G (1996) Stress fields in general composite laminates. AIAA J 34(12):2604–2608

    Article  MATH  Google Scholar 

  • Daví G (1997) General theory for cross-ply laminated beams. AIAA J 35(8):1334–1340

    Article  MATH  Google Scholar 

  • Daví G, Milazzo A (1997a) Boundary element solution for free edge stresses in composite laminates. J Appl Mech Trans ASME 64(4):877–884

    Article  MATH  Google Scholar 

  • Daví G, Milazzo A (1997b) Boundary integral formulation for composite laminates in torsion. AIAA J 35(10):1660–1666

    Article  MATH  Google Scholar 

  • Daví G, Milazzo A (1999) Bending stress fields in composite laminate beams by a boundary integral formulation. Comput Struct 71(3):267–276

    Article  Google Scholar 

  • Lekhnitskii SG (1963) Theory of elasticity of an anisotropic body. Holden-Day, San Francisco

    MATH  Google Scholar 

  • Milazzo A (2000) Interlaminar stresses in laminated composite beam-type structures under shear/bending. AIAA J 38(4):687–694

    Article  Google Scholar 

  • Sladek V, Sladek J (1998) Singular integrals in boundary element methods. Comput Mech Pub

    MATH  Google Scholar 

  • Somigliana C (1886) Sopra l’equilibrio di un corpo elastico isotropo. Il Nuovo Cimento 3:17–19

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Universitá di Palermo, DICAM, 90128, Viale delle Scienze, Palermo, Italy

    Giuseppe Daví & Alberto Milazzo

Authors
  1. Giuseppe Daví
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Alberto Milazzo
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Giuseppe Daví .

Editor information

Editors and Affiliations

  1. Institut für Mechanik, Otto-von-Guericke-Universität Institut für Mechanik, Magdeburg, Germany

    Holm Altenbach

  2. Griffith University (Gold Coast Campus), Griffith School of Engineering Griffith University (Gold Coast Campus), Southport, Queensland, Australia

    Andreas Öchsner

Section Editor information

  1. Mechanical and Aerospace Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy

    Erasmo Carrera

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer-Verlag GmbH Germany

About this entry

Check for updates. Verify currency and authenticity via CrossMark

Cite this entry

Daví, G., Milazzo, A. (2018). Boundary Element Method for Composite Laminates. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_96-1

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-53605-6_96-1

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-53605-6

  • Online ISBN: 978-3-662-53605-6

  • eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering

Publish with us

Policies and ethics

Search

Navigation