The　XFEM　(Extended　Finite　Element　Method)　is　a　new　and　effective　simulation　method　for　analyzing　the　discontinuity　mechanical　issues,　especially　the　fracture　problem.　In　the　XFEM,　in　order　to　reflect　the　discontinuities　of　displacement,　a　jump　function　and　asymptotic　crack-tip　displacement　fields　are　added　to　the　common　finite　element　approximation　for　the　local　enrichment　based　on　the　framework　of　partition　of　unity.　The　basic　theory　of　the　XFEM　is　introduced　firstly,　and　the　method　for　analyzing　the　fracture　and　crack　growth　of　meso　concrete　is　presented.　Finally,　the　meso　fracture　processes　of　wet-screened　concrete　specimens　under　uniaxial　tension　and　Winkler　L-shape　concrete　plate　are　investigated　by　the　XFEM.　The　concrete　crack　initiations,　the　process　of　expansion　and　failure　modes　are　given　out　in　the　study.　The　simulation　results　agree　remarkably　well　with　the　experimental　observations.　The　results　indicate　that　the　XFEM　is　an　efficient　method　to　simulate　the　fracture　process　of　concrete　materials　because　the　expression　of　displacement　discontinuities　on　both　sides　of　crack　is　independent　of　element　meshes.