All Questions
3
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Can you recover a stress tensor from a velocity field?
Consider the Cauchy momentum equation for a steady flow:
$$ \rho\mathbf{u}\cdot\nabla\mathbf{u} = \rho\mathbf{g} + \nabla\cdot\mathbf{\sigma} $$
Here, $\mathbf{\sigma}$ is the stress tensor and $\...
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Identity in continuum mechanics
For a problem in the textbook I am reading, I need to prove that $\int_Vw_{i,j}v_jdV = \int_Sw_iv_jn_jdS$, where $S$ is the boundary of the volume $V$, $v_i$ is the velocity vector field of a ...
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Tensor Projection
I'm currently reading "Vector and Tensor Analysis with Applications" by A.I. Borisenko and I.E. Tarapov, and I'm having trouble following a particular mathematical step in where the author projects ...
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