# Encyclopedia of Continuum Mechanics

Living Edition
| Editors: Holm Altenbach, Andreas Öchsner

# Boundary Element Method for Composite Laminates

• Giuseppe Daví
• Alberto Milazzo
Living reference work entry
DOI: https://doi.org/10.1007/978-3-662-53605-6_96-1

## 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 (εzz = 0), the elastic state of the body is described in terms of the displacement vector $$\boldsymbol {u}= \begin {Bmatrix} u_x & u_y & u_z \end {Bmatrix}^T$$
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## References

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