Solid Mechanics/FEA Question

CycloWizard

Lifer
Sep 10, 2001
12,348
1
81
Is anyone here familiar with finite element analysis/solid mechanics modeling? I'm trying to get my feet wet and have a problem regarding the implementation of a contact problem. I posted it in an engineering forum, but it gets about zero traffic so I thought I'd try it here.

I'm currently trying to model an indenter device that I plan on building in the very near future. I've gone through several FE iterations thus far to figure out how the contact problem works in the software I'm using (StressCheck). It solves contact problems using an augmented Lagrangian method with normal spring displacements along the contact surfaces, where the spring stiffness is characterized by some stiffness related to the modulus of the softer material in the contact pair.

I'm currently modeling the solid as an elastic half-space with two layers of different thicknesses. The surface layer is very thin (t~15 microns) but has a relatively high modulus (E ~ 1 MPa), while the layer underneath is thicker (t>1000 microns) and softer (E ~ 1kPa). The indenter probe I'm considering is essentially rigid and will probably be constructed of steel. It's a cylinder that I'm modeling as a flat edge with fillets along the exterior circle to avoid singularities.

The output data that I'm interested in is determining the force required to displace the indenter probe a given distance. By varying the moduli of the materials in the FEA and comparing the F curve with experiments, I hope to be able to ascertain the modulus of a soft tissue having similar characteristics.

So, I can see several ways in which this problem might be modeled and I'm not really sure which one is conceptually correct.
1. Declare the contact zone as the entire probe surface that will come into contact with the elastic half-space.
2. Declare the contact zone as only the fillet edge and those edges of the half-space that will contact the fillet
3. Neglect the contact problem altogether and model it as a single piece with different material properties, where a displacement is applied to the indenter probe

Any advice would be greatly appreciated.
 

bobsmith1492

Diamond Member
Feb 21, 2004
3,875
3
81
Good luck with actual engineering problems on here. :p I've never had much luck finding any real advice... I've never had FEA and probably won't because I'm pursuing EE. It's kind of too bad though, because the guy who teaches it here is basically the guy who pioneered its use at GM.

I can still think about it though! :p So, if I'm understanding you correctly, you have a probe with a rounded tip that's going to be poking a hole into the flat surface of a softer material? If that's the case, it seems like it would be a bit more complicated as the contact surface would change as the probe pushed it - at the beginning it would hit theoretically an infinitely small point, and the contact area would increase as that point was depressed. If I'm completely missing your purpose then let me know...
 

CycloWizard

Lifer
Sep 10, 2001
12,348
1
81
Originally posted by: bobsmith1492
Good luck with actual engineering problems on here. :p I've never had much luck finding any real advice... I've never had FEA and probably won't because I'm pursuing EE. It's kind of too bad though, because the guy who teaches it here is basically the guy who pioneered its use at GM.

I can still think about it though! :p So, if I'm understanding you correctly, you have a probe with a rounded tip that's going to be poking a hole into the flat surface of a softer material? If that's the case, it seems like it would be a bit more complicated as the contact surface would change as the probe pushed it - at the beginning it would hit theoretically an infinitely small point, and the contact area would increase as that point was depressed. If I'm completely missing your purpose then let me know...
The material is soft enough that it continuously deforms as the probe compresses it. It doesn't actually fracture, so the same parts stay in contact with the probe the entire time. Theoretically anyway. In reality, I'm sure I'll be poking some holes the first few times I try it at least. :p
 

CycloWizard

Lifer
Sep 10, 2001
12,348
1
81
Originally posted by: bobsmith1492
Here, this is what I was thinking:

<img src="http://i4.photobucket.com/albums/y125/bob_smith1492/random/contactarea.png">

More of the tip would be in contact the further in it went up to a point; I was just thinking that could complicate things.
Yes, this makes things very complicated. I decided to use a flat/blunt cylinder instead of a sphere because the math got waaay too hairy using a sphere. Even for a completely idealized material and situation, everything was nonlinear. With the blunt cylinder, the force:Displacement curve in the ideal situation is linear for a single material. It will probably get ugly anyway for multiple materials with different properties, so I'm just trying to keep it as simple as I can. ;)
 

edcarman

Member
May 23, 2005
172
0
71
Originally posted by: CycloWizard
So, I can see several ways in which this problem might be modeled and I'm not really sure which one is conceptually correct.
1. Declare the contact zone as the entire probe surface that will come into contact with the elastic half-space.
2. Declare the contact zone as only the fillet edge and those edges of the half-space that will contact the fillet
3. Neglect the contact problem altogether and model it as a single piece with different material properties, where a displacement is applied to the indenter probe

Any advice would be greatly appreciated.

Hi
My job invloves working with ANSYS FEA software on a daily basis. If I was performing this analysis, I would go for option 1 or 3, leaning slightly towards 3 as it will be less computationally intensive. Option 2 will not work due to the way contact is modelled by FEA packages (or at least ANSYS, but others should be similar) - it will have the same effect as modelling penetrating by a tubular object.
If you don't mind waiting a bit, I can write a better explanation once I get home from work (or possibly on the weekend)

Cheers
Ed