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Correspondingly, the finite element discretization was developed for free vibration analysis based on a Timoshenko-Vlasov thin-walled theory, including the effects of flexural-torsional coupling, shear deformations due to flexure as well as torsional warping, and rotary inertia.
For these layers an elastoplastic finite element discretization was used.
Here, we treat the contact of the particles as follows: the time and position of the contact to a solid surface of the particles in nodal points (in the finite element discretization) was calculated with an explicit second order prediction.
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Assuming that the discrete maximum principle (d.m.p). is satisfied, i.e. the matrix resulting from the finite element discretization is an M-matrix (see [18, 19]), we prove the Lipschitz discrete dependence with respect to both the boundary condition and the source term by a similar study to that undertaken previously for the Lipschitz continuous dependence property.
The domain is discretized into approximately parallel horizontal layers, within each of which a finite element discretization is employed allowing accurate representation of irregular domains.
Its variational formulation and finite element discretization are then presented.
A finite element discretization is presented as well as an adaptive mesh control procedure.
A finite element discretization is carried out on this continuous system.
The governing equations are derived through the use of the principle of virtual displacements and a finite element discretization is performed with the C1 conforming rectangular element.
The governing equations of the electromechanically coupled composite panel flutter are derived through an extended Hamilton's principle, and a finite element discretization is carried out.
Our approach is based on the discontinuous Galerkin space time method, by which the finite element discretization is applied not only in space but also in time.
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