Professor Shen has broad interests in the field of computational mechanics, especially computational fracture mechanics. His interests range from designing numerical methods and analyzing their convergence properties, to discovering materials’ fracture behaviors with numerical simulations, and to applying numerical methods to make an impact to practical engineering problems. His current and past topics of interests include:
Efficient numerical methods for crack propagation and hydraulic fracturing
Phase-field methods for crack propagation
Fracture of thin shells
Discontinuous Galerkin methods
Universal meshes
Simulation methods to study material properties
Mathematical analysis of numerical methods
Modeling of scanning probe microscopy
Phase transformation of alloys