Assistant Professor of Civil Engineering
The discipline of computational mechanics has witnessed substantial advancements that greatly improved our ability to model complex phenomena, ranging from large-scale engineering and biological systems to financial and economic processes. With improved methods and powerful technologies, it has become possible to capture phenomena at multiple scales, both in space and in time. A number of challenges remain, however, in the techniques used to couple domains with different spatial and temporal discretization. In solid mechanics, these challenges are particularly pronounced in the presence of material and geometric nonlinearities and dynamic effects.
In this presentation, we discuss computational methods for coupling in systems with high nonlinearities in solid mechanics. We focus on contact mechanics and propose novel formulations for contact on interfaces subjected to friction, plasticity and dynamic rates. Applications of interest include the problems of seismic rocking, soil-structure interaction and bond in reinforced concrete, where the modeling of contact on dynamic and nonlinear interfaces is integral to the physics-based simulation of system behavior.