On coupled thermoelastic vibration of geometrically nonlinear thin plates satisfying generalized mechanical and thermal conditions on the boundary and on the surface

@article{Wenk1982,
abstract = {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.},
author = {Wenk, Hans-Ullrich},
journal = {Aplikace matematiky},
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; 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},
language = {eng},
number = {6},
pages = {393-416},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On coupled thermoelastic vibration of geometrically nonlinear thin plates satisfying generalized mechanical and thermal conditions on the boundary and on the surface},
url = {http://eudml.org/doc/15261},
volume = {27},
year = {1982},
}

TY - JOUR
AU - Wenk, Hans-Ullrich
TI - On coupled thermoelastic vibration of geometrically nonlinear thin plates satisfying generalized mechanical and thermal conditions on the boundary and on the surface
JO - Aplikace matematiky
PY - 1982
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 27
IS - 6
SP - 393
EP - 416
AB - 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.
LA - eng
KW - 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; 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
UR - http://eudml.org/doc/15261
ER -