For　modeling　discrete　particle-block　systems,　a　new　framework　of　discontinuous　deformation　analysis　is　established　on　the　basis　of　finite-dimensional　variational　inequality.　The　presented　method　takes　into　account　the　contacts,　the　rolling　resistance,　and　the　tensile　resistance　of　cemented　interface　among　particles　and　blocks　using　the　corresponding　variational　or　quasivariational　inequalities.　The　new　formulation　avoids　using　the　artificial　springs　that　are　usually　indispensable　in　many　conventional　methods　dealing　with　similar　discrete　problems　and　conveniently　integrates　the　rigid　circle　particles,　the　nonrigid　ring　particles,　and　the　arbitrary　shape　blocks　into　a　uniform　framework.　The　proposed　discontinuous　deformation　analysis　approach　is　further　coupled　with　the　finite　element　method　using　a　node-based　composite　contact　matrix　and　several　simple　transformation　matrices　to　solve　practical　problems.　A　particle/block-based　composite　contact　matrix　is　constructed　to　further　broaden　the　application　of　the　proposed　method.　The　accuracy,　robustness,　and　capability　of　the　presented　method　are　demonstrated　with　examples.