Hello,
I would like to create a user-defined element for coupled, time-dependent thermo-mechanical analysis.
One obvious approach that I can employ is to use an extra degree of freedom for the temperature quantities, but the trouble in this case is that that the solid-mechanics-part of
the solution will involve second derivatives with time (and the need to use, say, Newmark method), while the thermal part of the solution will only involve first derivatives with respect to time (entailing the need to use, e.g., a trapezoidal or midpoint rule). Thus, I have the impression that this may create problems...
Thus, I wanted to ask whether there are any suggestions on how I can tackle this problem.
Thank you very much in advance for your help,
Yannis