Stroh finite element for two-dimensional linear anisotropic elastic solids

Chyanbin Hwu, J. Y. Wu, C. W. Fan, M. C. Hsieh

Research output: Contribution to journalArticlepeer-review


A general solution satisfying the strain-displacement relation, the stress-strain laws and the equilibrium conditions has been obtained in Stroh formalism for the generalized two-dimensional anisotropic elasticity. The general solution contains three arbitrary complex functions which are the basis of the whole field stresses and deformations. By selecting these arbitrary functions to be linear or quadratic, and following the direct finite element formulation, a new finite element satisfying both the compatibility and equilibrium within each element is developed in this paper. A computer windows program is then coded by using the FORTRAN and Visual Basic languages. Two numerical examples are shown to illustrate the performance of this newly developed finite element. One is the uniform stress field problem, the other is the stress concentration problem.

Original languageEnglish
Pages (from-to)468-475
Number of pages8
JournalJournal of Applied Mechanics, Transactions ASME
Issue number3
Publication statusPublished - 2001 May

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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