Abstract: The present invention is a roll as may function as an anvil roll that comprises protrusions on its outer surface, that are outwardly or z-directionally oriented arcs of an arc wire such as wavy wire or an axially canted helical coil extending along a length or x-direction, which are pinched perpendicularly to the z- and x-direction. Such anvil rolls may be used to treat materials such as web materials, such as by embossing or bonding these web materials. In a particular application, such rolls may interact with an ultrasonic sonotrode.