In the present article, we consider a thermoelastic plate of Reissner-Mindlin-Timoshenko type with the hyperbolic heat conduction arising from Cattaneo’s law. In the absense of any additional mechanical dissipations, the system is often not even strongly stable unless restricted to the rotationally symmetric case, etc. We present a well-posedness result for the linear problem under general mixe...

A new low order membrane nite element is presented. The element formulation is based on the variational principle of Hughes and Brezzi employing an independent rotation eld. In the present work nonconforming interpolation is used for the drill rotation eld. Both triangular and quadrilateral elements are considered. Combined with the Reissner-Mindlin plate bending element of O~ nate, Zarate and ...

We present a new Neumann–Neumann-type preconditioner of large scale linear systems arising from plate and shell problems. The advantage of the new method is a smaller coarse space than those of earlier methods of the authors; this improves parallel scalability. A new abstract framework for Neumann–Neumann preconditioners is used to prove almost optimal convergence properties of the method. The ...

This paper addresses some questions arising from an integration of coupling structural models and p-version nite element methods. After a brief introduction to the p-version for Reissner-Mindlin plate problems we will consider the modelling of loads or elastic foundations acting only on parts of elements. Furthermore we will address the question of a posteriori control of the accuracy of the ap...

Abstract-The fundamental solutions and the boundary element method for obtaining numerical solutions of nonlinear Reissner plates on an elastic foundation are presented in the paper. The derivation of the fundamental solutions is mainly based on two of Hu’s functions and the resolution method of differential operator. An incremental form of the boundary integral equations is suggested to achiev...