Adjoint-weighted equation for inverse problems of incompressible plane-stress elasticity

Uri Albocher, Assad A. Oberai, Paul E. Barbone, Isaac Harari

Research output: Contribution to journalArticlepeer-review


The adjoint-weighted equation (AWE) formulation is applied to incompressible isotropic plane-stress elasticity for the solution of inverse problems. For the strong form of the problem to have a solution, a restrictive strain compatibility condition must hold. In the AWE variational formulation on the other hand, a much milder sufficient condition is that uniaxial stress states be precluded, making the method more robust to noisy data. We prove that the formulation leads to a stable converging numerical method, and show through computations that the method performs well.

Original languageEnglish
Pages (from-to)2412-2420
Number of pages9
JournalComputer Methods in Applied Mechanics and Engineering
Issue number30-32
StatePublished - 1 Jun 2009


  • Finite elements
  • Incompressible plane stress
  • Inverse problems
  • Variational methods


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