I always thought that a Dirichlet BC need to be prescribed on at least one part of the domain in order for linear elasticity to be well-posed. Is this correct?

But I was recently told by a colleague that this is not true and that the problem can be well-posed by specifying 2 tractions.

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    $\begingroup$ What PDE (or PDEs) are solved here? $\endgroup$ – Maxim Umansky May 27 '20 at 0:49
  • $\begingroup$ You might be interested in the following answer: scicomp.stackexchange.com/a/29413/9667 $\endgroup$ – nicoguaro May 27 '20 at 3:19
  • $\begingroup$ your colleague is correct... think about a free floating heated body ... of course you can solve this thermal expansion elasticity problem without fixing the body anywhere. you need to remove the 6 dofs rotation and translation of the solution space, that's it. $\endgroup$ – Bort May 27 '20 at 12:19

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