Numerical modeling of functionally graded materials using a variational formulation

B E Abali, C Völlmecke, B Woodward, M Kashtalyan, I Guz, W Müller

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


An approach of numerical modeling of heterogeneous, functionally graded materials, by using the finite element method, is proposed. The variational formulation is derived from the generic case so that the implementation of material coefficients, which are functions in space, is realized without any further assumptions. An analytical solution for a simple case is presented and used for validation of the numerical model.
Original languageEnglish
Pages (from-to)377-390
Number of pages14
JournalContinuum Mechanics and Thermodynamics
Issue number4-6
Early online date12 May 2012
Publication statusPublished - Nov 2012


  • functionally graded materials
  • variational formulation
  • finite element method
  • heterogenous materials


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