His research includes work on deterministic and stochastic mechanics: random and fractal media, representative elementary volume in linear and nonlinear material systems, universal elastic anisotropy index, random fields, and bridging continuum mechanics to fluctuation theorem.
He is also affiliated with the university's Beckman Institute and National Center for Supercomputing Applications.
He was Site co-Director of the NSF Industry/University Cooperative Research Center for Novel High Voltage/Temperature Materials and Structures (2012-2022).
He serves as Editor of Acta Mechanica, Editor-in-Chief of the Journal of Thermal Stresses, and Chair Managing Editor of Mathematics and Mechanics of Complex Systems.
His distinctions include Timoshenko Distinguished Visitor at Stanford University (2012), the Worcester Reed Warner Medal of ASME (2018), membership in European Academy of Sciences and Arts (2022) and Academia Europaea (2023), and Rothschild Distinguished Visiting Fellow at Isaac Newton Institute for Mathematical Sciences (2023).