Bag having an elastic band, and method for the production thereof

A series of bags (1, 101, 201), comprising:

• a plurality of bags having longitudinal edges and lateral edges, the lateral edges of said bags being attached to one another, said plurality of bags having a longitudinal direction corresponding to longitudinal edges of said bags,
• wherein each bag comprises two opposite faces (1a, Lb) joined together around a whole periphery of the bag except for one longitudinal edge, the two joined faces forming an interior of the bag with an opening (1d) at said longitudinal edge, the two joined faces forming a rim at the opening sized to be positioned over a peripheral edge of a container,
• the two faces of each bag being welded to one another along two opposite lateral edges (2, 3) of each bag, and
• a first face of the two faces having, near said opening, an elastic band extending from a first of the two lateral edges to a second of the two lateral edges, the elastic band being joined to said first face at each of the two lateral edges, and also joined to the first face at an intermediate joining position between the two lateral edges such that a first length (L1) of the elastic band between each of the two lateral edges is greater than a second length (L2) of the elastic band between the intermediate joining position and an other joining position, said second length (L2) corresponding to an effective relaxed length of said elastic band, and the elastic band being free of adhesion to said first face along an entirety of the second length (L2),
• and the second length (L2) of the elastic band having an elasticity sufficient to, when the rim is positioned over the peripheral edge of the container, i) stretch over the opening to a position on a second of the two faces and ii) exert an elastic force sufficient to hold the rim onto the peripheral edge of the container.

A bag, comprising:

• first and second opposite faces joined together at a first longitudinal edge and two opposing lateral edges, the two opposing lateral edges spaced from each other by a first length (L1), the first and second faces forming an opening at a second longitudinal edge, and the first longitudinal edge forming a bottom of the bag, the first and second joined faces forming a rim at the opening sized to be positioned over a peripheral edge of a container;
• and
• an elastic band extending longitudinally along a direction of the first length (L1) at a position near the second longitudinal edge, the elastic band joined to the one of the first and second faces at first and second joining positions on the one of the first and second faces, at least one of the joining positions being spaced from both of the two opposing lateral edges,
• wherein an effective relaxed length of said elastic band corresponds to a second length (L2) between the first and second joining positions, the distance (L2) being shorter than the length (L1),
• wherein the elastic band is free of adhesion to said first face along an entirety of the second length (L2), and
• wherein the second length (L2) of the elastic band has an elasticity sufficient to, when the rim is positioned over the peripheral edge of the container, i) stretch over the opening to a position on a second of the two faces and ii) exert an elastic force sufficient to hold the rim onto the peripheral edge of the container.