Nonlinear analysis of structures

The course is based on assignments in which students either implement the nonlinear analysis from scratch (for models with truss elements) or use an open-source software (for models with beam elements). The topics that are covered are the following:

• Truss models: Hand calculations and finite element calculations of truss models with material and geometric nonlinearity; Nonlinear material laws: Plasticity
• Beam element formulations: Total and incremental compatibility and equilibrium relations of beams, accounting for large displacements. Differential equations for Euler-Bernoulli and Timoshenko beams. Sectional analysis of RC sections. Beam formulations with concentrated and distributed plasticity approaches (force-based and displacement-based).
• Nonlinear analyses: Solution methods for nonlinear static and dynamic analysis. Damping models.
• Review of past blind prediction tests and comparison between numerical and experimental results.
• Use of nonlinear simulations in civil engineering practice.