Polishing machines including under-pads and methods for mechanical and/or chemical-mechanical polishing of microfeature workpieces

Polishing machines and methods for mechanical and/or chemical-mechanical polishing of microfeature workpieces are disclosed herein. In one embodiment, a machine includes a table having a support surface, an under-pad carried by the support surface, and a workpiece carrier assembly over the table. The under-pad has a cavity and the carrier assembly is configured to carry a microfeature workpiece. The machine further includes a magnetic field source configured to generate a magnetic field in the cavity and a magnetorheological fluid in the cavity. The magnetorheological fluid changes viscosity within the cavity under the influence of the magnetic field source. It is emphasized that this Abstract is provided to comply with the rules requiring an abstract. It is submitted with the understanding that it will not be used to interpret or limit the scope or meaning of the claims.