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

Aplikace matematiky (1982)

- Volume: 27, Issue: 6, page 393-416
- ISSN: 0862-7940

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topWenk, Hans-Ullrich. "On coupled thermoelastic vibration of geometrically nonlinear thin plates satisfying generalized mechanical and thermal conditions on the boundary and on the surface." Aplikace matematiky 27.6 (1982): 393-416. <http://eudml.org/doc/15261>.

@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 -

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