A laminate structure is provided for forming a package, where the laminate structure allows for access openings to be provided upon peeling of the layers. The access openings may allow air to be introduced to the contents, such as to cause an exothermic reaction for heating items, or may allow product to be dispensed from the package. The laminate structure includes a first layer laminated to a second layer via an adhesive, and score lines are formed in the second layer to define plug areas and non-plug areas. The plug areas are configured to result in a peel interface line that occurs across a constant ratio of plug areas to non-plug areas along a predefined distance of a peel area of the laminate structure. Thus, when the first layer is peeled away from the second layer, the peel force needed remains relatively uniform across the predefined distance.