This paper describes the formulation and some analytical results for 3D linear elastic fracture mechanics analyses using the Fragile Points Method (FPM) [1]. FPM is one of the meshless methods whose test and trial functions are constructed using randomly distributed points in the problem domain, as shown in Fig. 1. The problem domain is divided into the subdomains, as also depicted in Fig. 1. The test and trial functions are piecewise polynomials, constructed by the generalized finite difference (GFD) method at each of distributed points along with its neighboring points. They represent connections between the points. Consequently, a local Galerkin weak form is constructed in each subdomain. An exact numerical integration for the local weak can be carried out. Then, a system of linear simultaneous equations for solving the boundary value problem is generated by summing-up the local weak forms. However, it is noted that the test and trial functions are discontinuous at the boundaries of the subdomains. Numerical flux corrections are introduced to suppress the discontinuity. To model cracks, connections between points across the crack face are discarded. This process is very tractable, making FPM well-suited for 3D fracture mechanics analyses. In the present investigation, we have developed a 3D linear elastic crack propagation analysis methodology based on FPM. A suited way to perform the interaction integral was implemented for computing stress intensity factors in mixed mode crack problem was realized. Hence, crack propagation analyses were performed. The formulations and numerical implementations of FPM and of the interaction integral method will be discussed in the presentation of WCCM-ECCOMAS 2026. We extend our discussions to the results of and findings from 3D linear elastic crack propagation analyses. REFERENCES [1] Yang, T., Dong, L. and Atluri, S. N., A simple Galerkin meshless method, the Fragile Points method using point stiffness matrices, for 2D linear elastic problems in complex domains with crack and rupture propagation, International Journal for Numerical Methods in Engineering, Vol. 122, No. 2 (2021), pp. 348-385.