Intrinsic Modeling of Linear Thermo-Dynamic Thin Shells

  • C. Lebiedzik
Conference paper
Part of the IFIP International Federation for Information Processing book series (IFIPAICT, volume 202)


We consider the problem of modeling dynamic thin shells with thermal effects based on the intrinsic geometry methods of Michel Delfour and Jean-Paul Zolésio. This model relies on the oriented distance function which describes the geometry. Here we further develop the Kirchhoff-based shell model introduced in our previous work by subjecting the elastically and thermally isotropic shell to an unknown temperature distribution. This yields a fully-coupled system of four linear equations whose variables are the displacement of the shell mid-surface and the thermal stress resultants.


Intrinsic shell model dynamic thermoelasticity 


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Copyright information

© International Federation for Information Processing 2006

Authors and Affiliations

  • C. Lebiedzik
    • 1
  1. 1.Department of MathematicsWayne State UniversityDetroitUSA

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