An existence theorem for the v. Kármán equations under the condition of free boundary
Joachim Naumann (1974)
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Joachim Naumann (1974)
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Ivan Hlaváček, Joachim Naumann (1974)
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Hans-Ullrich Wenk (1982)
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The vibration problem in two variables is derived from the spatial situation (a plate as a three-dimensional body) on the basis of geometrically nonlinear plate theory (using Kármán's hypothesis) and coupled linear thermoelasticity. That leads to coupled strongly nonlinear two-dimensional equilibrium and heat conducting equations (under classical mechanical and thermal boundary conditions). For the generalized problem with subgradient conditions on the boundary and in the domain (including...