Antman, Stuart

Research Interests
Dynamical and steady-state nonlinear problems for rods, shells and three-dimensional solid bodies for discovering new nonlinear effects, determining thresholds in constitutive equations separating qualitatively different responses, treating control problems involving "smart" materials, examining important kinds of instabilities, contributing to the theory of shocks and dissipative mechanisms in solids, and developing new methods of nonlinear analysis and of effective computation for problems of solid mechanics
Background
Professor Antman studies a variety of dynamical and steady-state nonlinear problems for rods, shells, and three-dimensional solid bodies. The bodies are composed of nonlinearly elastic, viscoelastic, plastic, viscoplastic, or magnetoelastic materials. In each case, properly invariant, geometrically exact theories encompassing general nonlinear constitutive equations are used. In some cases, the solids interact with fluids. The goals of these studies are to discover new nonlinear effects, determine thresholds in constitutive equations separating qualitatively different responses, treat control problems involving "smart" materials, examine important kinds of instabilities, contribute to the theory of shocks and dissipative mechanisms in solids, and develop new methods of nonlinear analysis and of effective computation for problems of solid mechanics.
Honors and Awards
Fellows
Society for Industrial and Applied Mathematics, 2009
Professional awards
SIAM Theodore von Karman Prize, 1999
ASME Lyapunov Award