An Immersed FEM for Elasticity Equations With Interfaces

Abstract

The immersed finite element method based on a uniform Cartesian mesh has been developed for elasticity equations with discontinuous physical parameters across an interface in this paper. The interface does not have to be aligned with the mesh. The main idea is to modify the basis function over those triangles in which the interface cuts through so that the natural interface conditions are satisfied. The standard linear basis functions are used for other triangles. A level set function who zero level set represent the interface is used. Numerical examples are also presented.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Aug 12, 2004
Accession Number
ADA443789

Entities

People

  • Xingzhou Yang
  • Zhilin Li

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Difference Equations
  • Differential Equations
  • Displacement
  • Elastic Properties
  • Energy
  • Equations
  • Finite Element Analysis
  • Grids
  • Materials
  • Materials Science
  • Mathematics
  • Modulus Of Elasticity
  • North Carolina
  • Potential Energy
  • Stress Strain Relations
  • Stresses

Readers

  • Computational Fluid Dynamics (CFD)
  • Fluid Dynamics.