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If the problem has a path dependent solution, then it must be solved in an incremental way in order to give a correct solution. Problems including for example plasticity or friction belong to this class. If you do the analysis in time domain, then the solution is inherently incremental. If the analysis is stationary, invoke the parametric continuation solver by adding an Auxiliary Sweep, and ramp up some loading parameter. In either case, make sure that the step size is not too large.
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In problems involving large rotations, the default settings of the nonlinear solver will sometimes give a solution strategy that is too conservative. You can often decrease the solution time significantly by modifying the settings under Method and Termination in the settings for the Fully Coupled or Segregated Step node in the solver sequence. Set Nonlinear method to Constant (Newton) and use a rather high Damping factor. In most cases the value 1 will work.
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