# Elastic Materials

## Definition

Isotropic, linear elastic material with losses.

## Description

Mechanical
E' | Young's Modulus | Pa or N/m2
NU' | Poisson's Ratio |
| Density | kg/m3

Losses
E" | Imaginary part of the Young's Modulus
NU" | Imaginary part of Poisson's ratio
Must verify E" ≥ 0
and -E"(1+NU')/E" ≤ NU" ≤ E"(0.5-NU')/E'

Magnetic
Relative magnetic permeability
Superpose magnetic domain to elastic domain

## Illustration

## ATILA Implementation

When the magnetic permeability is enabled, the mesh is "duplicated" so that a magnetic field computations can be performed on top of the elastic domain. Thus, both domains share the same nodes. This feature is typically used in magnetostrictive problems.

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