Abstract
where E is the notation for the summation over all N elements, e {A) is a set of nodal displacements, and [x] is a set of nodal coordinates. The procedures developed by the author avoid the explicit mathematical operations involved with Eq. (1) and constitute the first systematic method for establishing near optimum grid layouts. These guidelines have 3 fundamental aspects. Firstly, to obtain a plot of the isoenergetics which are contours of constant strain energy density, from an initial analysis, secondly, to determine the near optimum position of selected contours and consequent element gradation, and thirdly, to lay out the grid. The purpose of this Note is to present a more rational technique in step 2 of the guidelines for locating the isoenergetics, or grading the finite elements in high strain gradient regions.
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