• Thomas Nagel
  • Jobst MaßmannEmail author
  • Xing-Yuan MiaoEmail author
  • Peter Vogel
Part of the Terrestrial Environmental Sciences book series (TERENVSC)


This section presents a set of closed form solutions of 3D steady-state problems on heated beams and plates which have been adopted from Kneschke (1960). The associated simulation exercises have been checked by OGS; they may serve as verification tests. We focus on the closed form solutions; for the underlying theory of linear thermoelasticity see Carlson (1972) or see Melan and Parkus (1953). Additionally, the analytical solution of a two-layered ring subjected to pressure loading on its internal and external surfaces as well as a spatially homogeneous temperature increase is obtained under plane strain conditions.

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Helmholtz Centre for Environmental Research—UFZLeipzigGermany
  2. 2.Trinity College DublinDublinIreland
  3. 3.Federal Institute for Geosciences and Natural Resources—BGRHannoverGermany
  4. 4.Helmholtz Centre for Environmental Research—UFZLeipzigGermany
  5. 5.Technische Universität DresdenDresdenGermany

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