  This research explored a novel explicit total Lagrangian Fragile Points
Method (FPM) for finite deformation of hyperelastic materials. In contrast to
mesh-based methods, where mesh distortion may pose numerical challenges,
meshless methods are more suitable for large deformation modelling since they
use enriched shape functions for the approximation of displacements. However,
this comes at the expense of extra computational overhead and higher-order
quadrature is required to obtain accurate results. In this work, the novel
meshless method FPM was used to derive an explicit total Lagrangian algorithm
for finite deformation. FPM uses simple one-point integration for exact
integration of the Galerkin weak form since it employs simple discontinuous
polynomials as trial and test functions, leading to accurate results even with
single-point quadrature. The proposed method was evaluated by comparing it with
FEM in several case studies considering both the extension and compression of a
hyperelastic material. It was demonstrated that FPM maintained good accuracy
even for large deformations where FEM failed to converge.
