A fully compostable beverage capsule may be produced by improving the seal strength between the capsule and its lid. Additionally, the lid itself may be made more resistant to the stress that occurs during brewing. In this invention, the lidding material is cut one or more times to produce a pattern similar to the blades of a pinwheel. The sections or “blades” are then overlapped and energetically welded to one another and joined to the beverage capsule. In this process, the double thickness of lidding material improves the seal between the lidding and the capsule. Each “blade” of the lidding has its own point of attachment to the capsule, which helps to isolate any stress that may occur during the beverage brewing process. As a result, the lidding as a whole remains securely attached to the capsule, even if one or two blades experience sufficient stress to trigger delamination.