| 21. | In this test, the only non-zero component of the stress tensor is T 11.
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| 22. | This proves that the first Piola Kirchhoff stress tensor is "'not objective " '.
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| 23. | The 1st Piola Kirchhoff stress tensor, \ boldsymbol { P } is one possible solution to this problem.
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| 24. | Where I is the 3 x 3 identity matrix and \ boldsymbol \ tau is the deviatoric stress tensor.
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| 25. | However, the stress tensor still has some important uses, especially in formulating boundary conditions at fluid interfaces.
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| 26. | In this case the differential equations that define the stress tensor are linear, and the problem becomes much easier.
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| 27. | These constraints on the stress tensor are known as the " Beltrami-Michell " equations of compatibility:
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| 28. | A exact solutions that are non-vacuum solutions, solutions in which the stress tensor is non-zero.
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| 29. | From this, the stress tensor of the system can be calculated and usually is calculated by the numerical package.
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| 30. | Here we consider a three-dimensional Oldroyd-B model coupled with the momentum equation and the total stress tensor.
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