ElementFree

elementfree is a software library for performing finite element analysis. It is designed to be a flexible and extensible framework, allowing users to implement custom solvers and element formulations. The library is written in C++ and provides a Python interface for ease of use and rapid prototyping.

The core of elementfree is its approach to finite element assembly. Instead of relying on traditional mesh-based methods, elementfree utilizes an element-free Galerkin (EFG) approach. EFG methods, also known as meshless methods, do not require a predefined mesh to represent the domain. Instead, they use a set of nodes distributed throughout the problem domain and employ a moving least squares (MLS) approximation to construct the shape functions. This characteristic makes EFG methods well-suited for problems involving large deformations, fracture mechanics, and adaptive analysis where mesh generation and manipulation can be computationally expensive and complex.

elementfree offers a range of functionalities for common engineering simulations. These include linear and nonlinear static analysis, transient dynamic analysis, and eigenvalue analysis. The library supports various material models and boundary conditions, enabling it to tackle a diverse set of problems in solid mechanics and structural analysis. Its open-source nature fosters community development and allows researchers and engineers to contribute to its growth and adapt it to their specific needs. The project aims to provide a robust and efficient tool for advanced numerical simulations.