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In this paper, the solid tetrahedron element with drilling degrees of freedom is presented. This element has only four nodes. Each node has three translational components and three drilling ones. By using this element, the high level of analytical accuracy can be obtained. On the other hand, the free mesh method creates tetrahedron elements locally around every nodal point. Consequently, the element with intermediate nodes is not available to the free mesh method. However, the proposed solid tetrahedron element with drilling degrees of freedom is especially effective to the free mesh method, because it has no intermediate nodes. In this paper, the feature of accuracy of this element is shown through several numerical examples, and the effectiveness of the free mesh method is also described.

Three-Dimensional Free Mesh Method with Drilling Degrees of Freedom (Development of TET Element Included Drilling Degrees of Freedom)