On the analytical derivation of consistent density-corrected tangent operators for simulation of compressible porous materials
In this work, we develop a strategy to derive the tangent modulus A that takes into account the corrections imposed by the evolution of the relative density in the analysis of density-dependent materials, compressible materials. Special attention is given to the analytical derivation of consistent density-corrected tangent operators, which means that explicit formulas are derived without any approximations. The whole procedure depends strongly on the choice of the stressstrain measure and on the employed algorithms. Here, we present a Lagrangian finite deformation version. Numerical examples are presented in order to attest the proposed methodology.
tangent operators density-dependent materials powder compaction geo-mechanical materials