Talk:Michell solution

How about adding:

1) What would effectively be, an index column to the tables (on the left), with the corresponding constant from the expression at the top.

Maybe that's too much spoon-feeding for some, but it would make the page more useful to me, an aging stress analyst, who finds it hard to remember one thing from the next.

Proposed column title "Constant term", the first few rows (in order) would be: $$A_0, B_0, C_0, I_3, C_1, B'_1 $$

2) A column to the right with a short phrase describing the loading, here's a few: (Please do add to this list)


 * $$A_0$$: Equi-axis in-plane tension
 * $$C_0$$: Negative pressure inside a hole
 * $$I_3$$: Point moment at the centre of a full plane
 * $$B_1'$$: Point loading on a wedge tip, direction $$\theta=\pi/2$$
 * $$F_1'$$: Point loading on a wedge tip, direction $$\theta=\pi$$

3) Add a comment that $$n$$ does not have to be integer, for example $$D_n$$ and $$H_n$$ with $$n=1/2$$ leads to solutions of the stress field around a crack tip, and could link to: Stress_intensity_factor

4) Add example application(s) of combining two parts of the solution, for example:
 * $$H_2$$ and $$I_3$$ in the correct proportions represents a moment on a wedge tip, when $$I_3 = -2 H_2 cos(2\alpha)$$, where $$\alpha$$ is the wedge half angle.

If no one has objections, I'll have a go sometime in the near future once I've learnt coding some more - there's probably typos in this message.

Robertpaynter (talk) 10:17, 23 July 2021 (UTC)


 * I wrote the original article using notes from a class I was teaching more than 15 years ago. It can definitely be improved and made more accessible.  Bbanerje (talk) 06:36, 27 July 2021 (UTC)