Computation, Volume 11, Issue 10
October 2023 - 21 articles
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Cover Story: This paper presents a general procedure to formulate and implement 3D elements of arbitrary order in meshes with multiple element types. This procedure includes obtaining shape functions and integration quadrature and establishing an approach for checking the generated element’s compatibility with adjacent elements’ surfaces. This procedure was implemented in Matlab using its symbolic and graphics toolbox and complied as a GUI interface named ShapeGen3D. The procedure was implemented to generate a 43-node brick element with order four on one surface and order two on the opposite parallel surface. It can act as a transition element between fourth-order and second-order Lagrangian elements. Researchers can use this procedure to develop and illustrate three-dimensional elements efficiently. View this paper