A novel extended embedded crack finite element method (XE-FEM) is proposed for modeling localized failures in concretelike quasibrittle materials and structures. Based on the unified multiscale kinematics recently developed by the authors, the displacement jumps at the cracking nodes, where cracks intersect with the element edges, are selected as the elemental enrichment parameters. In addition to constant displacement jumps induced by relative translations of rigid bodies, linear deformation modes caused by rigid body rotation and selfstretching are consistently accounted for in the kinematics, so that the spurious stress locking can be removed. The enrichment parameters, which are shared by neighboring elements, can be regarded as global variables in the numerical implementation. Thus, the continuity of the displacement jumps can be guaranteed along the crack propagation path. Two benchmark tests of concrete structures, i.e., the wedgesplitting test with modeI failure and the singleedge notched beam with mixedmode failure, were numerically simulated to validate the suggested method. The calculated response of load versus displacement and crack paths were compared to available experimental data and numerical results obtained from other methods. It is shown that the suggested method is stable and robust, with a high resolution in regard to coarse meshes.