The physical-cover-oriented variational principle of numerical manifold met
hod (NMM) for the analysis of linear elastic static problems was put forwar
d according to the displacement model and the characters of numerical manif
old method. ne theoretical calculating formulations and the controlling equ
ation of NMM were derived. As an example, the plate with a hole in the cent
er is calculated and the results show that the solution precision and effic
iency of NMM are agreeable.