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Isostrain Boundary condition at top of surface using ABAQUS

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If you are talking about constant applied displacement, it can be easily done using Displacement/Rotation BC type (non-zero values in step). For something more complex like making sure that all nodes belonging to particular regions will have the same displacement you will likely need an equation constraint. Check its definition in the documentation.
 
You can select proper DOFs (usually not rotations like you did here but some of the three translational degrees of freedom above) and instead of 0 specify some value that you want to prescribe.
 
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