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# Method to Reconstruct Solid Elements Into Linear Tetrahedral Elements

IP.com Disclosure Number: IPCOM000035228D
Original Publication Date: 1989-Jun-01
Included in the Prior Art Database: 2005-Jan-28
Document File: 3 page(s) / 61K

IBM

## Abstract

This article describes a concept of the display data creation from three-dimensional finite element analysis output. Before creating the display data, all elements, which a three-dimensional region consists of, are converted into linear tetrahedral elements. Regarding a linear tetrahedral element as a process unit, display data, for example, equi- valued surface data, stream line data, are created by linearly interpolating analysis output. (Image Omitted)

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Method to Reconstruct Solid Elements Into Linear Tetrahedral Elements

This article describes a concept of the display data creation from three- dimensional finite element analysis output. Before creating the display data, all elements, which a three-dimensional region consists of, are converted into linear tetrahedral elements. Regarding a linear tetrahedral element as a process unit, display data, for example, equi- valued surface data, stream line data, are created by linearly interpolating analysis output.

(Image Omitted)

On the three-dimensional finite element analysis, various solid elements are used. In each finite element, the output data f(x,y,z) are interpolated as follows.

Where Ni(u,v,w) and Fi are weight functions and output data at the i-th node and Ni is 1 at the i-th node and 0 at the other node. The coordinate (u,v,w) is a local coordinate of the coordinate (x,y,z).

This method tells that the reconstruction into linear tetrahedral elements is introduced at every solid element. Node points and analysis data are generated at (u,v,w)=(#1,0,0),(0,#1,0), (0,0,0) (see Fig. 1).

By using two nodes which are generated at area centers and volume center and two existing nodes, a linear tetrahedral element can be defined. The continuation of this operation can make forty-eight linear tetrahedral elements from a parabolic block element. In case of other types of element, plural linear tetrahedral elements can be defined by means of above operation.

The generation nodes at area centers makes the coincidence of the element shapes at element boundary possible. Once the three-dimensional region has been reconstructed by using linear tetrahedral elements, various visualization of finite element analysis output is possible.

When f(x,y,z) are vector data, stream line data can be easily extr...