  Lattice models are popular methods for simulating deformation of solids by
discretizing continuum structures into spring networks. Despite the simplicity
and efficiency, most lattice models only rigorously converge to continuum
models for lattices with regular shapes. Here, we derive a lattice model for
neo-Hookean solids directly from finite element methods (FEM). The proposed
lattice model can handle complicated geometries and tune the material
compressibility without significantly increasing the complexity of the model.
Distinct lattices are required for irregular structures, where the lattice
spring stiffness can be pre-calculated with the aid of FEM shape functions.
Multibody interactions are incorporated to describe the volumetric deformation.
We validate the lattice model with benchmark tests using FEM. The simplicity
and adoptability of the proposed lattice model open possibilities to develop
novel numerical platforms for simulating multiphysics and multiscale problems
via integrating it with other modeling techniques.
