Wet wipe products are made from continuous wet wiping web material having thermoplastic fibers of type, concentration and dispersion capable of being heat-set to set the overall web material in a reformed shape. A succession of ridges and grooves is formed by passing the performed material through a dry creper apparatus in absence of adhesives, the action characterized by pressing the material with a stationary pressing surface to engage an advancing drive surface, the driven material bodily collapsing into a succession of adjacent ridges and grooves that increase the volume of the material. The wet wiping material is heat set in the ridge and groove configuration, enabling the ridge and groove configuration to be preserved when the wet wiping material is wetted and when squeezed and released. The self-restoring ridge and groove configuration provides stress concentrating edges and improves liquid delivery and wet wiping in a number of respects.