Volumetric thermal power distribution

When applying a hot beam of light from a projector’s light source to a heat shielding glass, the glass will warp related to the incoming light power absorption. I wonder if we could have mW/mm^3 as a function of depth in the material. For example it could be linearly absorbed where each mm of depth absorbs an equal amount of power. It could be parabolic or a power curve where a lot of the power is absorbed on he first um of depth and then the rest of the way there would be less absorption. it would be good to have some sort of BC that could simulate this. Like maybe give a total beam power in mW and the entrance aperture diameter in mm, the glass thickness and the distribution type. maybe the distribution type has the standard equation ax^2+bx+c and then you just fill in the values as you expect it for your beam and glass?

For now, there’s the Body Flux load but with no option of spatial variation. What you describe is very specific but maybe something like analytical fields in Abaqus would suffice. They can be expression-based (you specify an equation using coordinates to define the spatial variation with a single formula) or mapped (value for each point with given coordinates). You would need some data from the literature first though. I would start with such research anyway, maybe you can find ways to simplify it or model it differently.

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Not in direct connection, but I implemented a new load type: Imported surface traction. Since we already have imported pressure, I was wondering if I should split the distribution from the load itself. So I would add an item called Distribution, where the user specifies a distribution type: analytical, tabular, imported/mapped/from file and then selects the distribution at the load definition. Distribution would be supported for appropriate load types. Mechanical surface loads and temperatures. Or is there a better way to do this?

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Isn’t that controlled by the material thermal conductivity. ¿Or do you mean something more like Opacity in case radiation is involved?

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Here is an image that is very much out of context but sort of explains how the heat distribution in the glass would be like: https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcSDkmyOAgI4KKUM6hxgFsj6_s-1E4a3kLYHeQ&s. The light waves carrying heat into the material are not “rod-like” giving heat away radially as they cross the material, but more like a diminishing sized rod… could be a cone, could be parabolic, etc depending on how the glass absorbs the power from the light passing thru it.

Looks a bit like Goldak heat source model used for welding/AM process simulations. Abaqus supports that and there have been some discussions about modeling this with CalculiX but mostly in terms of the moving heat source: Welding analysis with DFLUX - CalculiX (official versions are on www.calculix.de, the official GitHub repository is at https://github.com/Dhondtguido/CalculiX).

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