Nonlinear finite elements/Buckling of beams
Standard Newton-Raphon methods perform poorly for bucking problems.
Arc Length Method
- 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