A finite element method for crack growth without remeshing is presented. The method enriches the standard displacement-based approximation near a crack by incorporating both discontinuous fields and the near-tip asymptotic fields through a partition of unity method. This allows the entire crack to be represented independently of the mesh, eliminating the need for remeshing. The technique constructs the enriched approximation from the interaction of the crack geometry with the mesh. Numerical experiments demonstrate the utility and robustness of the method. The method differs from previous approaches by incorporating a discontinuous field across the crack faces away from the crack tip, using both the discontinuous Haar function and the near-tip asymptotic functions. The method exploits the partition of unity property of finite elements, allowing local enrichment functions to be easily incorporated into the finite element approximation. The displacement field is global, but the support of the enrichment functions is local because they are multiplied by nodal shape functions. The method is applied to various numerical examples, including edge cracks, shear edge cracks, plates with angled centre cracks, and crack growth. The results show excellent agreement with exact solutions for stress intensity factors. The method is robust and accurate, even for complex geometries and large crack angles. The method does not require remeshing, making it suitable for fatigue crack growth calculations in complex geometries. The method treats the crack as a separate geometric entity, with the only interaction with the mesh occurring in the selection of enriched nodes and the quadrature of the weak form. The method is efficient and accurate, with results that are independent of element size for a large range of sizes. The method is suitable for nonlinear materials and three dimensions. The method is supported by the Office of Naval Research and Army Research Office, and the authors are grateful for the support provided by the DOE Computational Science Graduate Fellowship program.A finite element method for crack growth without remeshing is presented. The method enriches the standard displacement-based approximation near a crack by incorporating both discontinuous fields and the near-tip asymptotic fields through a partition of unity method. This allows the entire crack to be represented independently of the mesh, eliminating the need for remeshing. The technique constructs the enriched approximation from the interaction of the crack geometry with the mesh. Numerical experiments demonstrate the utility and robustness of the method. The method differs from previous approaches by incorporating a discontinuous field across the crack faces away from the crack tip, using both the discontinuous Haar function and the near-tip asymptotic functions. The method exploits the partition of unity property of finite elements, allowing local enrichment functions to be easily incorporated into the finite element approximation. The displacement field is global, but the support of the enrichment functions is local because they are multiplied by nodal shape functions. The method is applied to various numerical examples, including edge cracks, shear edge cracks, plates with angled centre cracks, and crack growth. The results show excellent agreement with exact solutions for stress intensity factors. The method is robust and accurate, even for complex geometries and large crack angles. The method does not require remeshing, making it suitable for fatigue crack growth calculations in complex geometries. The method treats the crack as a separate geometric entity, with the only interaction with the mesh occurring in the selection of enriched nodes and the quadrature of the weak form. The method is efficient and accurate, with results that are independent of element size for a large range of sizes. The method is suitable for nonlinear materials and three dimensions. The method is supported by the Office of Naval Research and Army Research Office, and the authors are grateful for the support provided by the DOE Computational Science Graduate Fellowship program.