Mesh deformation based on fully stressed design: The method and 2-D examples

Su Yuen Hsu, Chau Lyan Chang

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


Mesh deformation in response to redefined boundary geometry is a frequently encountered task in shape optimization and analysis of fluid-structure interaction. We propose a simple and concise method for deforming meshes defined with three-node triangular or four-node tetrahedral elements. The mesh deformation method is suitable for large boundary movement. The approach requires two consecutive linear elastic finite element analyses of an isotropic continuum using a prescribed displacement at the mesh boundaries. The first analysis is performed with homogeneous elastic property and the second with inhomogeneous elastic property. The fully stressed design is employed with a vanishing Poisson ratio and a proposed form of equivalent strain (modified Tresca equivalent strain) to calculate, from the strain result of the first analysis, an element-specific Young's modulus for the second analysis. The theoretical aspect of the proposed method, its convenient numerical implementation using a typical linear elastic finite element code in conjunction with very minor extra coding for data processing, and results for examples of large deformation of 2-D meshes are presented in this paper.

Original languageEnglish
Pages (from-to)606-629
Number of pages24
JournalInternational Journal for Numerical Methods in Engineering
Issue number5
Publication statusPublished - 2007 Oct 29

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics


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