A material comprising a matrix or a buttress is impregnated with an adhesive initiator and is used with a surgical stapling device and an adhesive. The tissue and material are stapled together, and a knife in the surgical stapling device cuts the tissue and the material. The adhesive is applied across the cut and sets up or polymerizes to seals the cut when the adhesive contacts the adhesive initiator. The surgical stapling device can place the staples in a linear, arcuate, or circular array, and can anastomose luminal tissue. The methods of use can include stapling luminal tissue end to end, stapling two portions of material onto ether side of tissue, and stapling two portions of tissue onto a portion of material. Additionally, a portion of adhesive filed material can be stapled onto one side of portion of tissue and the adhesive initiator impregnated material can be stapled onto the other. Cutting the material and tissue provides a path for the adhesive across the cut, and catalyzes the adhesive from contact with the adhesive initiator.