How can you tell whether a bridge can bear the load of all the vehicles on it?

Yours skin is stretchy – until a point it breaks. But how far can you stretch your skin before it breaks?

In cases where you can’t repeatedly build a million bridges nor stretch your skin a million times to test your hypothesis, Finite Element Method can provide an estimate, based on the material properties (stiffness, shape etc.).

The Simplest Illustration

Simplex, Linear Elastic

Converting into Weak Form

How it comes about: Finite Deformation

Biological Material Properties: Constitutive Laws