The　three　generalized　Barnett-Lothe　tensors　L,　S　and　H　are　frequently　encountered　in　the　extended　Stroh　formalism　of　two-dimensional　deformation　of　anisotropic　magneto-electro-elastic　materials.　Meantime,　they　are　directly　related　to　the　admittance　matrix　Y,　which　is　required　to　characterize　the　crack-tip　field.　In　this　paper,　the　elements　of　L,　S　and　H　together　with　Y　are　constructed　using　a　modified　Lekhinitskii　formalism　for　general　anisotropic　magneto-electro-elastic　materials.　As　a　typical　case,　the　three　generalized　Barnett-Lothe　tensors　are　explicitly　expressed　in　terms　of　the　reduced　generalized　elastic　compliances　for　transversely　isotropic　magneto-electro-elastic　materials.　A　simple　example　is　presented　to　validate　these　expressions.　(C)　2014　Elsevier　Masson　SAS.　All　rights　reserved.