Dear math smarts colleagues,
So, after disintegrating a hard material I obtain the total energy employed by the breaking device (laser), the minutes or seconds it took, and I know in advance the volume and mean hardness of the targeted material.
Hence, if I divide energy/volume = I know how much energy is needed to disintegrate a mm3, right?
If I divide the time/volume I know how many seconds it takes to disintegrate a mm3.
However, if I also know the mean hardness of the targeted material (which is different in every experiment), how can I integrate it into a formula to know the energy and time needed to disintegrate a mm3 of a certain hardness?
Many thanks
Dear Mario,
After reading your brief description of the problem, and here I would like to highlight that I am no expert in this field, I am a materials scientist. I would say that your best bet is to try a multivariate linear regression between the variables and then, after checking on the statistical significance of each regression coefficient, develop an empirical formula that correlates the independent variables to the input power of your laser.
If your samples have any porosity, I suggest dividing the values not by its apparent volume, but by the mass of the particles. Also, I don't know how your hardness is measured. If it is in the most common ways, calculated as an index based on some local measurement, it is necessary to point that your equation is valid only for that hardness type of measurement.
I hope it helps in some way,
Pedro
Try this link it may help
http://www.amse.acmsse.h2.pl/vol61_2/6125.pdf
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