On the solution of the displacement boundary-value problem for elastic-inelastic materials
Oldřich John (1974)
Aplikace matematiky
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Oldřich John (1974)
Aplikace matematiky
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Isabel N. Figueiredo, Georg Stadler (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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The purpose of this paper is to derive and study a new asymptotic model for the equilibrium state of a thin anisotropic piezoelectric plate in frictional contact with a rigid obstacle. In the asymptotic process, the thickness of the piezoelectric plate is driven to zero and the convergence of the unknowns is studied. This leads to two-dimensional Kirchhoff-Love plate equations, in which mechanical displacement and electric potential are partly decoupled. Based on this model numerical...
Jindřich Nečas, Luděk Trávníček (1980)
Aplikace matematiky
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An abstract theory of evolutionary variational inequalities and its applications to the traction boundary value problems of elastoplasticity are studied, using the penalty method to prove the existence of a solution.