A study is made of the behavior of a positive muon in the matrix of a real, nonmagnetic metal containing defects. The temperature dependence is found for the relaxation rate of the muon spin due to the dipole-dipole interaction between the magnetic moment of the muon and the magnetic moment of the nuclei of the matrix. Data from μSR experiments with a series of metals are analyzed and it is shown that the data can be consistently interpreted within the framework of a unified approach that explains the observed muon spin relaxation by the capture of the muon in a trap.