Inelasticity
Elasticity is the ability of a deformable body to return to its original shape when the external forces are removed. Inelasticity, on the contrary, involves rest shape changes. The change of the rest shape is state-dependant, which adds significant complexities to dynamic systems.
Inelastic mechanical properties govern the behaviors of a wide range of everyday objects. However, accurate modelings of inelasticities are still challenging.
We present a finite strain integration scheme for general viscoelastic solids under arbitrarily large deformation and non-equilibrated flow, and develop an augmented Lagrangian optimization method for highly efficient time integration.
Energetically Consistent Inelasticity(ECI) is a new formulation for modeling and discretizing finite strain elastoplasticity/viscoelasticity. It is compatible with optimization-based time integrators by implicitly integrating plasticity through an augmented strain energy density function. The resulting scheme can be integrated into both the Finite Element Method(FEM) and the Material Point Method(MPM).