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Linear Material in a Large Strain analysis

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Estimable Member
Joined: 17 years ago

Hi All,

I am wondering of what happens if a linear material is used within a non-linear, large-strain analysis.

I can think about two options:

1) linear strain measure is used in the material law for the linear materials

2) the linear material is interpreted as a non-linear material: by replacing linear strain with Green strain and insiting on a linear stress-strain relationship one would end up with a Saint-Venant-Kirchoff material

The problem is that both are unsatisfactory: the first would not accout for rotation, while the second will give unphysical behaviour incompression!

What happens them say in ABAQUS?The problem must be well known in practice, as similar analyses must be quite common, thinking of steel-reinforced rubber bellows, etc. hence I trust a solution has been found.

In principle one could easily derive hyperelastic constants for a Neo-Hookean material to match in the small strain regime a linear material, would this not be the most consistent approach?

Many Thanks

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