Kutlu Darilmaz

Analysis of sandwich plates: A three dimensional assumed stress hybrid finite element

An eight-node assumed stress solid element with rotational degrees of freedom is employed for analyses of sandwich plates consisting of stiff face and a comparatively flexible core material with the aim to accurately and efficiently capture stresses. The element formulation is based directly on an eight-node element. This direct formulation requires fewer computations than a similar element that is derived from an internal 20-node element in which the midside degrees of freedom are eliminated by expressing them in terms of displacements and rotations at corner nodes. The formulation is based on Hellinger-Reissner variational principle. Numerical examples are presented to show the validity and efficiency of the present element.

A Simplified Solution of the Torsional Rigidity of the Composite Beams by Using FEM

In this paper, the torsional rigidity of the composite sections formed by different materials is obtained by using a finite element procedure. In the derivation of the differential equation, the Saint-Venants stress function was used. The obtained partial differential equation was discretized by finite elements to get the potentials in the nodal points. After the calculations of the unknown potentials on the composite cross-section, the torsional rigidity is calculated by integrating the potentials on the solution domain. To test the validity of the proposed algorithm, the available analytical and numerical results from the previous studies were studied. It was seen that this new algorithm is efficient and simpler than the previous ones.