A linear analysis involves a linear relation between applied forces and displacements. However, the truth is that most, if not all, problems become nonlinear at higher load levels. Nonlinear effects can originate from large deformation, material nonlinearity and contact. A nonlinear solver is required to account for these nonlinear effects. For example, to accurately represent the nonlinear properties of an artery, catheter and stent, biomedical engineers are turning to nonlinear solvers to help design more effective coronary stents.

In this lecture, we will learn how a nonlinear solver works and when we should use it.