Method for producing a web of an elastic nonwoven composite material (24), comprising the following steps: delivering and conveying a first nonwoven layer (4, 4a) delivering a multiplicity of elastic filaments (6) delivering a second nonwoven layer (10, 10a) bringing together the nonwoven layers in such a way that the elastic filaments (6) are sandwiched between the nonwoven layers, leading the layer arrangement through a pressing gap of a pair of calender rolls (13) for connection to form a material composite (14) by means of a binding pattern that comprises bound areas (48) and unbound areas (49), wherein melt bonds (50) are generated directly between the nonwoven layers. Overstretching the layers by leading the material composite (14) through stretching rolls (15), whereby the material composite (14) is stretched in the longitudinal direction (L), wherein the elastic filaments (6) are oriented substantially in the longitudinal direction (L), such that they have at most 10 points of intersection with one another per cm, characterized in that, before the nonwoven layers (4, 4a, 10, 10a) are connected, particulate materials (26) are applied to the first or second nonwoven layer, wherein at least 80% by weight of the particulate materials have a particle size of 45-1200 µm.