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3D printed parts cool down during printing, resulting in thermal contraction which causes a bending moment and separation from the printing bed.

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The issue is solved by increasing adhesion to the printing bed, which however results in more stresses inside the part which can cause cracking.

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The result is a poor printed part:

enter image description here

Provided I know the thermal expansion coefficient of a material and the Young modulus, the temperature delta causing contraction (which should be glass transition temperature minus ambient temperature) and the part length, how can I calculate the adhesion force required to keep the corners of the part sticking to the bed, or the adhesion force required to keep the layers together, without delamination?

I know that complex shapes would require different calculation. For this question I would consider only parallelepipeds ("boxes", "beams").

It may be dependent on layer height, but I think it can be regarded as second order parameter and omitted from a rough estimate.

An approximation is enough, I guess that accurate results would require a finite element analysis, which is beyond the scope of this question.

For reference, the available adhesion force provided by a specific product (Dimafix) is the following, as shown in their report:

enter image description here

FarO
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1 Answers1

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Given:

  • the layer thickness $t$
  • the shrinkage between the lower hot edge and upper cold edge after calculating the transient thermal equilibrium $s/L$
  • the Young's modulus $E$
  • the second moment of area $I$

the radius $R$ of the curve of the lift for small-angle deformations will be

$$\frac{s}{t}=\frac{L}{2R} \quad \ R=\frac{tL}{2s}$$

and we know $$M/EI =1/R.$$

So plugging in the numbers and we can find the moment and calculated adhesion needed.

FarO
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kamran
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