We have recently demonstrated that irreversible plastic deformations can be harnessed to design cellular metamaterials capable of permanent shape transformations. A reduced model, accounting for the elastoplastic deformation of the joints and the elastic bending of the connecting beams, successfully solves the inverse problem for in-plane transformations. However, it remains insufficient for accurately predicting the inverse problem in three dimensions.

This project aims to develop finite element formulations within Galileo, a software package designed in the laboratory, to establish a fast and efficient computational approach for solving the inverse problem in 3D. This breakthrough will be crucial for applying the method to the development of stents capable of adapting to complex anatomies.

A mechanical formulation will be developed and integrated into numerical simulations using Galileo, a finite element software (FEM) developed in the laboratory, specialized in nonlinear static and dynamic mechanical analysis. By reducing the number of degrees of freedom, this approach significantly lowers computational costs compared to traditional shell and solid meshing methods. This efficiency gain will facilitate extensive parametric analyses and enable an effective resolution of the inverse problem. These numerical developments will be conducted in close collaboration with a postdoctoral associate already engaged in the project's experimental aspects.

SOFT is a collaborative research team working on the physics of complex media, from granular flows to bio-inspired systems. SOFT is part of IUSTI, a CNRS and Aix Marseille University laboratory. It is part of the Institut de mécanique et d'ingénierie de Marseille (IMI), one of France's leading institutes in fluid and solid mechanics, with strong opportunities for interaction with local and international collaborators.