The paper describes three different rectangular plate bending elements based on Reissner's type stationary variational principles. They differ in the number of dependent variables approximated independently and also in the number of nodes per element. The first element types treats the transverse deflection and the three moments as unknowns at each of the corner nodes; the second element type t...

A finite strain element (FE)-based approach to element-free Galerkin (EFG) discretization is introduced, based on a number of simplifications and specialized techniques in the context Lagrangian kernel. In terms discretization, quadratic polynomial basis used, support determined from pre-assigned nodes for each quadrature point points coincide with centroids tetrahedra. Diffuse derivatives are ...

We apply the Space-Time Conservation Element and Solution Element (CESE) method to solve the ideal MHD equations with special emphasis on satisfying the divergence free constraint of magnetic field, i.e., ∇⋅B = 0. In the setting of the CESE method, four approaches are employed: (i) the original CESE method without any additional treatment, (ii) a simple corrector procedure to update the spatial...

mechanism, elastic displacement Abstract—This paper has as main purpose to identify the dynamic components of the matrices in the motion equation, combining the motion of rigid body with the one of elastic body. The finite element modeling requires the identification of a proper procedure in order to establish accurate boundary conditions which assure continuous motion in the nodes. Finally, an...