Computational solid mechanics, multiscale materials modeling, modeling of extreme events:

Chen's research interests are in computational solid mechanics and multiscale materials modeling.  More specifically, he investigates

  • Finite Element and Meshfree Methods for nonlinear mechanics
  • Multiscale modeling of material defects
  • Computational methods for simulation of fragment-impact processes
  • Computational shock dynamics
  • Computational geomechanics 
  • Multiscale and reduced order modeling of molecular systems with applications to DNA modeling 
  • Image based multiscale computational mechanics for skeletal muscles 
  • Accelerated Reproducing Kernel Particle Method for continuum, plates, shells, composites, large deformation, and contact problems 
  • Mathematical analysis of Galerkin and collocation meshfree methods 
  • Computational methods development for modeling of material manufacturing processes such as metal forming, stamping, and extrusion 
  • Wavelet Galerkin method in multiscale homogenization of heterogeneous materials 
  • Mesoscopic modeling of grain growth and grain boundary migration 
  • Adaptive multiscale meshfree method for solving Schrödinger equation in quantum mechanics 
  • Modeling of microstructural evolution and local instability (such as wrinkling formation) in polycrystalline materials 
  • Computational damage mechanics and strain localization 
  • Computational methods for rubber-like incompressible materials 
  • Arbitrary Lagrangian Eulerian method for large deformation and contact problems 
  • Mixed finite element method based on multiple-field variational principle 
  • Probabilistic finite element method for acoustic-structure interaction