Theoretical and Applied Mechanics, Northwestern University

Ted Belytschko

BS, PhD, Illinois Institute of Technology

Editor, International Journal for Numerical Methods in Engineering

Computational mechanics; finite elements and computer-aided engineering

Professor Belytschko is interested in computational methods for modeling the behavior of solids, with particular emphasis on failure and fracture. He has developed new meshfree methods and the extended finite element method for modeling arbitrary crack growth without remeshing and applied them to a variety of crack growth problems, both static and dynamic. He is also using molecular mechanics to study the fracture and behavior of nanotubes and developing methods for coupling heterogeneous subdomains, such as molecular and continuum models.

Research

Collaborators

Classes

Resume

Publications

Simulation Based Engineering Science: the future

Research

Finite Element Methods

• Finite Element Technology
• Coupling with Element-Free Galerkin
• The eXtended Finite Element Method

Element-Free Galerkin (EFG) Methods

• MATLAB programs for element-free Galerkin method
• Plates and Shells
• Dynamic Fracture
  • 2d simulations
  • 3d simulations
• Coupling with Finite Elements
• Discontinuous shape functions and convergence
• Enriched EFG
• Continuous Meshless Approximations for Nonconvex Bodies
• Smoothing and Accelerated Computations in EFG
• Meshless Methods: An Overview and Recent Developments
• Stability Analysis of Meshless Methods

Nanomechanics

• Molecular Model
• Continuum Model
• Multiscale Methods
  • edge-to-edge coupling method which has suprious wave reflection
  • bridging domain coupling method which can eliminate suprious wave reflection

Collaborators

Visiting Scholars

• Dr. James Kennedy
• Dr. Giulio Ventura

Postdocs

• Dr. Xianwu Ling
• Dr. Stefan Loehnert
• Dr. Qiang Lu
• Dr. Jeffrey Paci
• Dr. Haim Waisman

Graduate students

• Robert Gracie
• Roopam Khare
• Jay Oswald
• Jeong-Hoon Song
• Hongwu Wang
• Mei Xu

Presentations

• Marino Arroyo presents A Finite Deformation Membrane based on inter-atomic potentials for single atomic layer films in USNCCM VI
• Hao Chen presents Dynamic Crack Growth with X-FEM in USNCCM VI
• Jack Chessa presents Extended Finite Element and Level Set methods for Free Surface and Phase Interface Problems in USNCCM VI

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Classes

Winter Quarter

• Finite Element Methods in Mechanics (Civil Engineering 327-0)
  Development of finite elements from variational principles and application to static stress analysis. Introduction to techniques for transient and generalized field problems. Computer implementation of finite element techniques.
  
  

 Computability in Nonlinear Solid Mechanics
 

NU: TAM: Computational Mechanics : Personal Pages

Modified November 1, 2006