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Curvature from surface

José Mauricio Urbano Caguasango

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Hello everyone!

I need to evaluate the curvature of a surface. My problem is the following:

1. I have a semisphere (x,y,z where z is the elevation and (0,0,0) is located on the inner center of the semisphere), with some irregularities over the survace.

2. I would like to evaluate the radius of curvature of each point on the surface. I want to restrict the curvature to the plane curvature. That is, if i choose a point, I choose the plane which contains the point and the zero, and is parallel to the z axis. This plane draws a profile of the deformed sphere's surface. I want to evaluate the radius of curvature in this plane.

3. I have seen similar formulations, but they give me the curvature associated to the surface, which I don't need. These formulations include the definition of a weak form PDE.

Could you help me? I have few experience with Comsol

Thanks in advance!!

1 Reply Last Post 2012/10/22 9:23 GMT-4
José Mauricio Urbano Caguasango

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Posted: 1 decade ago 2012/10/22 9:23 GMT-4
This is the equation I want to solve for each intersection plane.

Thank you very much!
This is the equation I want to solve for each intersection plane. Thank you very much!

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