Geodesic
On coupled thermoelastic vibration of geometrically nonlinear thin plates satisfying generalized mechanical and thermal conditions on the boundary and on the surface
Applications of Mathematics, Tome 27 (1982) no. 6, pp. 393-416 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 also classical conditions), existence and dependence of the weak variational solution on the given data is proved.
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 also classical conditions), existence and dependence of the weak variational solution on the given data is proved.
DOI : 10.21136/AM.1982.103987
Classification : 35K05, 49J40, 73K10, 73U05, 74A15, 74F05, 74H45, 74K20, 74S05, 80A20
Keywords: nonlinear dynamical; kinematical; linear constitutive thermoelastic; coupled heat conduction equations; spatial problem; Kirchhoff’s and von Kármán’s hypothesis; twodimensional equations; generalized problem with subgradient conditions on boundary; existence of solution; continuous dependence on given data 
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Wenk, Hans-Ullrich. On coupled thermoelastic vibration of geometrically nonlinear thin plates satisfying generalized mechanical and thermal conditions on the boundary and on the surface. Applications of Mathematics, Tome 27 (1982) no. 6, pp. 393-416. doi: 10.21136/AM.1982.103987

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