The material point method (MPM) is efficiently applied for the simulation of structures undergoing large deformations where fracture and crack initiation are expected. The eigenfracture approach is introduced in the paper at hand for the implicit MPM to model crack development and propagation in static and dynamic fracture of brittle elastic materials. Eigenfracture is an energetic fracture formulation applied in the postprocessing step of the implicit MPM, making its implementation relatively straightforward. Furthermore, the driving energy used to check crack propagation is evaluated using the representative crack elements (RCE), by which the crack is modeled as a discrete phenomenon. The RCE approach shows more realistic results compared to other split models. Additionally, the fracture description of reinforced materials within the MPM is also presented in this article by coupling truss finite elements to the MPM, considering the bond stress-slip constitutive model. Two-and three-dimensional problems in static and dynamic applications are presented to assess the efficacy of the approach. K E Y W O R D S eigenfracture, fracture modeling, large displacement, material point method 1 INTRODUCTION After Griffith's work, 1 the development of numerical methods for fracture modeling has greatly increased. Basically, to perform a fracture simulation, two main pillars are necessary, the discretization approach and the fracture representation. The discretization methods are divided into two groups: mesh-based and mesh-free methods. The most common method in solid mechanics is the finite element method (FEM), which is a mesh-based method. However, in the case of large deformation, which is highly possible in fracture simulations, the FEM, like other mesh-based methods, suffers from the problem of strong element distortion, which reduces the accuracy, and could lead to termination of the simulation. From this perspective, the advantage of mesh-free methods appears. In the mesh-free methods, the problem of mesh distortion does not exist, and those methods can replace the FEM in the simulation of problems with large deformations. Many mesh-free methods have been developed over the last decades. One of the earliest mesh-free methods is the smoothed particle hydrodynamics (SPH) presented by Lucy 2 and Gingold and Monaghan. 3 Later, the reproducing kernel particle method (RKPM) was introduced by Liu et al. 4 Other meshfree methods based on moving least square (MLS) This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.