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Part of the book series: Terrestrial Environmental Sciences ((TERENVSC))

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Abstract

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.

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Correspondence to Jobst Maßmann or Xing-Yuan Miao .

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© 2016 Springer International Publishing Switzerland

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Nagel, T., Maßmann, J., Miao, XY., Vogel, P. (2016). Thermomechanics. In: Kolditz, O., Görke, UJ., Shao, H., Wang, W., Bauer, S. (eds) Thermo-Hydro-Mechanical-Chemical Processes in Fractured Porous Media: Modelling and Benchmarking. Terrestrial Environmental Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-29224-3_8

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