Pump assemblies and fluid circulation systems for dishwasher appliances are provided. A pump assembly includes a housing defining an interior, and a pump. The pump includes an impeller disposed within the interior, and a motor connected to the impeller and comprising a stator and a rotor. The rotor is rotatable about a central axis. The stator is rotatable about the central axis relative to the rotor and the housing. The pump further includes an elastic damper coupled to the stator for reducing stator torque ripple transmissions to the housing.