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2 materials within one mesh?

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It is possible that 2 materials are set to be within just one mesh? I got this thought from ChatGPT's answer. If it's possible, how differential equation solving is done for such mesh?

This answer was brought by my question: if I joint 2 mesh regions to smooth out the boundary, then around the original boundary, some meshes there must have 2 materials occupying one and the other part of the mesh respectively.

Here's the answer given by ChatGPT:

If you have a single mesh with two regions consisting of different materials (Material A and Material B), COMSOL Multiphysics allows you to assign different material properties to each region within the same mesh. This is a common scenario in multiphysics simulations where different parts of the domain have different physical behaviors.

Mesh Continuity: The "Join" operation is used to ensure that the mesh is topologically continuous across the interface between the two materials. This is important for the solver to work correctly, especially for problems that require a continuous solution across the domain, such as structural mechanics or fluid flow.


3 Replies Last Post 28 janv. 2024, 21:58 UTC−5
Edgar J. Kaiser Certified Consultant

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Posted: 10 months ago 26 janv. 2024, 04:11 UTC−5

Hi,

funny idea to use a chatbot for such a question. I think the answer is not really relevant for your question. The mesher respects the boundary, so there won't be elements that require an interpolation of material properties. However, if you want a smooth transition of material properties across a boundary, you can make the respective property a function of spatial coordinates.

Cheers Edgar

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Edgar J. Kaiser
emPhys Physical Technology
www.emphys.com
Hi, funny idea to use a chatbot for such a question. I think the answer is not really relevant for your question. The mesher respects the boundary, so there won't be elements that require an interpolation of material properties. However, if you want a smooth transition of material properties across a boundary, you can make the respective property a function of spatial coordinates. Cheers Edgar

Jeff Hiller COMSOL Employee

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Posted: 10 months ago 26 janv. 2024, 11:32 UTC−5
Updated: 10 months ago 26 janv. 2024, 14:09 UTC−5

My guess is that although you are talking about "one mesh" you actually mean "one mesh element".

COMSOL is perfectly able to handle varying material properties within a single mesh element. In the finite element method, in establishing the stiffness matrix for an element, only the material properties at quadrature points matter. If you specify material properties that are different at different quadrature points within a single element (whether you do so by making the properties explicitly dependent on spatial coordinates or by making the properties dependent on quantities, such as temperature, that happen to vary in space in your model), COMSOL will in fact account for those different material properties at different quadrature points and accurately compute the element's stiffness matrix.

Best,

Jeff

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Jeff Hiller
My guess is that although you are talking about "one mesh" you actually mean "one mesh element". COMSOL is perfectly able to handle varying material properties within a single mesh element. In the finite element method, in establishing the stiffness matrix for an element, only the material properties *at quadrature points* matter. If you specify material properties that are different at different quadrature points within a single element (whether you do so by making the properties explicitly dependent on spatial coordinates or by making the properties dependent on quantities, such as temperature, that happen to vary in space in your model), COMSOL will in fact account for those different material properties at different quadrature points and accurately compute the element's stiffness matrix. Best, Jeff

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Posted: 10 months ago 28 janv. 2024, 21:58 UTC−5
Updated: 10 months ago 28 janv. 2024, 21:58 UTC−5

roperty a f

You're right. I meant so. And I realized that I was wrong since COMSOL won't actually joint 2 mesh elements at the boundry into one. Thank you for your prompt reply.

>roperty a f You're right. I meant so. And I realized that I was wrong since COMSOL won't actually joint 2 mesh elements at the boundry into one. Thank you for your prompt reply.

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