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weird deformation of ultra thin plate under thermal expansion

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Hi, everyone,

I am using the structural mechanical module to simulate the deformation of a ultra thin plate under the temperature change. the plate size is: length 100mm, width 5mm, height 0.1mm, the material properties are: E = 3.0e9, poisson ratio is 0.3, desity is 1000 kg/m^3 , coefficient of thermal expansion is 1.2e-4. I am using linear elastic material model and adding the thermal expansion under this model. the temperature is the only load which changes from 340 to 290 K. The Boundary conditions: the bottom plane is fixed, while all other boundaries are free. the final simulation result shows the upper portion is under the bottom plane, which is weird! It should above the bottom plane. please refer to the attached pictures.

I tested, this weird problem is possibly due to the fact that the ratio of length to height is too large. I change the height to 1mm, the length to 40mm, and the simulation results shows the deformation of the upper portion is above the bottom plane, which is reasonable.

Can anybody give an explanations and any help for simulating the ultra thin plate deformation? Thanks very much!

Wei


5 Replies Last Post Jul 9, 2013, 2:41 p.m. EDT
Josh Thomas Certified Consultant

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Posted: 1 decade ago Jul 5, 2013, 3:00 p.m. EDT
Wei-

Are you including Geometric non-linearity? This is important for large strain (ie strains above ~10%) or large rotation problems.

Your structure looks pretty flimsy so I wouldn't be surprised if you are getting large strains and/or rotations. This would also explain why the problem goes away for a thicker plate (more stiffness, less deformation).

Best regards,
Josh Thomas
AltaSim Technologies
Wei- Are you including Geometric non-linearity? This is important for large strain (ie strains above ~10%) or large rotation problems. Your structure looks pretty flimsy so I wouldn't be surprised if you are getting large strains and/or rotations. This would also explain why the problem goes away for a thicker plate (more stiffness, less deformation). Best regards, Josh Thomas AltaSim Technologies

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Posted: 1 decade ago Jul 5, 2013, 6:16 p.m. EDT
Thanks, Josh,

I tried to check the include geometric nonlinearity checkbox under the linear elastic material model, run it and got the same results.

In my example, the coefficient of thermal expansion is 1.2e-4, the temperature drop is around 50 K, so the strain is not large.

Does the large ratio of length to height matters?


Wei-

Are you including Geometric non-linearity? This is important for large strain (ie strains above ~10%) or large rotation problems.

Your structure looks pretty flimsy so I wouldn't be surprised if you are getting large strains and/or rotations. This would also explain why the problem goes away for a thicker plate (more stiffness, less deformation).

Best regards,
Josh Thomas
AltaSim Technologies


Thanks, Josh, I tried to check the include geometric nonlinearity checkbox under the linear elastic material model, run it and got the same results. In my example, the coefficient of thermal expansion is 1.2e-4, the temperature drop is around 50 K, so the strain is not large. Does the large ratio of length to height matters? [QUOTE] Wei- Are you including Geometric non-linearity? This is important for large strain (ie strains above ~10%) or large rotation problems. Your structure looks pretty flimsy so I wouldn't be surprised if you are getting large strains and/or rotations. This would also explain why the problem goes away for a thicker plate (more stiffness, less deformation). Best regards, Josh Thomas AltaSim Technologies [/QUOTE]

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Posted: 1 decade ago Jul 5, 2013, 6:25 p.m. EDT
also, I tried to remove the bottom plane constraint, let the plate to free expand/contract. the simulation result is reasonalbe, please refer to the attached picture.

The problem is why the deformaiton is not reasonable when the bottom plane is fixed?
also, I tried to remove the bottom plane constraint, let the plate to free expand/contract. the simulation result is reasonalbe, please refer to the attached picture. The problem is why the deformaiton is not reasonable when the bottom plane is fixed?


Henrik Sönnerlind COMSOL Employee

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Posted: 1 decade ago Jul 8, 2013, 1:49 a.m. EDT
Hi,

Have you made sure that this is not just a plotting scale issue? Is the the scale in the deformation plot '1'? What are the max/min values of the deformation in the Z direction 'w'?

Regards,
Henrik
Hi, Have you made sure that this is not just a plotting scale issue? Is the the scale in the deformation plot '1'? What are the max/min values of the deformation in the Z direction 'w'? Regards, Henrik

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Posted: 1 decade ago Jul 9, 2013, 2:41 p.m. EDT
Thanks, Henrik,

I check the results, and it is the problem of plotting scale. the scale factor is over 900. when I set the scale factor to 1 or 10, the result seems reasonable. I wonder why comsol sets a defaut scale factor to the deformation result as it may be misleading. Thanks again.

Best,

Thanks, Henrik, I check the results, and it is the problem of plotting scale. the scale factor is over 900. when I set the scale factor to 1 or 10, the result seems reasonable. I wonder why comsol sets a defaut scale factor to the deformation result as it may be misleading. Thanks again. Best,

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