Data for: Phase transition in porous materials - Effects of material parameters and deformation regime on mass conservativity

Numerical solution procedures for the general, finite deformation case, suffers from instabilities and high computational costs. Simplifications, assuming small deformations, increases stability and computational efficiency. Within this work shortcomings of simplified theories based on Biot and linearisations of the Theory of Porous Media (TPM) are systematically studied.

In order to determine the interaction of the different model parameters a non-dimensional model for poro-elasticity is presented. Based on a characteristic test-case including phase-transition and consolidation, the simplified models are compared to the fully non-linear TPM, focusing on mass errors as well as the time behaviour of the solution. Taking further into account the efficiency of discretisation based on different primal variables and finite-element-spaces, a guideline for selecting an appropriate combination of model, kinematic assumption and discretisation scheme is presented.

The analysis can be found in sections 4.2-4.4 of the paper. This dataset is structured analogously: "data_section-4.2": Mass errors for the 1D consolidation example solved analytical based on the Biot equations using different non-dimensional parameters and boundary conditions "data_section-4.3": Influence of the different models (Biot, lTPM and TPM) on primal variables (displacement, pressure and volume fraction) and the approximation of the system mass for the speciefied cases 1-1 to 1-4 resp. 2-1 to 2-4 "data_section-4.4": Computational efficiency of different mixed formulation for the considered 1D problem It seems to make the most sense to search the data via the tree structure view.