# Nonlinear finite elements/Buckling of beams

## Nonlinear post-bucklingEdit

## Newton-RaphsonEdit

Standard Newton-Raphon methods perform poorly for bucking problems.

## Arc length methodEdit

- Also called Modified Riks Method.
- Control the size of the load step using a parameter .
- Solve for both and in each Newton iteration.

Assume = independent of geometry. Then

can be thought of as a normalized load parameter.

The load increment is computed using

The reference arc length