In the GUI, you should check Volume/Thickness/Coordinate option in the field output request , and after your run, you can check the volume of selected parts from Visualization>Report>FieldOutput>WholeElement>EVOL
Yes. I have a reinforced concrete beam and i want to see volume expansion over time. I create a set just for concrete beam and in the history output and field output i select EVOL for this set. After the run, in the visualization, i select the set but abaqus plot for all of the beam elements separately in one plot. simulation picture and details are here.