Structures & computation

We develop mathematical and numerical models to predict how materials and structures behave under complex conditions. Our approach combines theory, computation, and experimental data, using asymptotic and variational methods for thin structures and metamaterials, and multi-scale mechanical models to link microstructure to overall performance. We also use optimization techniques to calibrate models, design shapes, and connect simulations with experimental databases. This allows us to tackle problems ranging from buckling and instability to multiphysical couplings in advanced composites.

In thin structures, we rigorously model nonlinear responses such as buckling, post-buckling, and defect sensitivity. For metamaterials, we study wave propagation and resonant effects with applications to vibration damping, seismic protection, and energy harvesting. At the microscale, we design and simulate complex microstructures in polymers, foams, composites, and porous materials, using homogenization and FFT-based methods to predict viscoelastic and nonlinear behavior. We also account for imperfections and uncertainties that arise from manufacturing.

We apply our methods to dynamic and coupled problems such as additive manufacturing, where we simulate thermo-elasto-plastic processes and develop fast models to reduce computation time. For polymers, we create multiscale models that capture chain dynamics and curing. We also model damage and fracture using phase-field and cohesive approaches, enabling predictions of crack initiation and fatigue. Finally, we advance shape and topology optimization methods to design structures with improved damping, coupled responses, and optimized geometries.