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Help to describe the equations

Posted 2019/04/02 2:47 GMT-4 General, Materials, Studies & Solvers Version 5.4 1 Reply

Oleg Kopchenov
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Can anyone help with a detailed description of attached below equations (Solid Mechanics and Linear Elastic Material), because Comsol's help is not very useful.

I will be glad to any links with help or your expirience and advices. Thanks!

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1 Reply Last Post 2019/04/02 7:50 GMT-4
Henrik Sönnerlind COMSOL Employee

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Posted: 7 years ago 2019/04/02 7:50 GMT-4
Updated: 7 years ago 2019/04/02 7:50 GMT-4

Hi,

The equations shown in the Equation section of the settings for a physics feature is only intended as an indication of the type of its contribuitons. They are not inteded as a complete theory. As an example, notation is not introduced.

To get the in-depth theory, you should read the Structural Mechanics Theory chapter in the Structural Mechanics Module User's Guide.

This said, the first equation represents the equation of motion (density*acceleration = gradient of 1st Piola-Kirchhoff stress + volume forces).

The second eqution is the computation of elastic stresses, under the assumption of geometric nonlinearity.

You can also find related information on
https://www.comsol.com/multiphysics/stress-and-equations-of-motion
https://www.comsol.com/multiphysics/analysis-of-deformation

Regards,
Henrik

-------------------
Henrik Sönnerlind
COMSOL
Hi, The equations shown in the **Equation** section of the settings for a physics feature is only intended as an indication of the type of its contribuitons. They are not inteded as a complete theory. As an example, notation is not introduced. To get the in-depth theory, you should read the *Structural Mechanics Theory* chapter in the *Structural Mechanics Module User's Guide*. This said, the first equation represents the equation of motion (density\*acceleration = gradient of 1st Piola-Kirchhoff stress + volume forces). The second eqution is the computation of elastic stresses, under the assumption of geometric nonlinearity. You can also find related information on Regards, Henrik

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