New SFB 1313 publication, published in Examples and Counterexamples. The work has been developed in the context of SFB 1313 research project C03.
Authors
- Maximilian Brodbeck (University of Stuttgart)
- Franziska S. Egli (University of Stuttgart)
- Marlon Suditsch (University of Stuttgart)
- Seyed Morteza Seyedpour (University of Stuttgart)
- Tim Ricken (University of Stuttgart, SFB 1313 research project C03)
Abstract
Porous materials can be described either by Biot’s consolidation theory or the Theory of Porous Media (TPM). Depending on the loading regime, permeability or compressibility of the solid matrix, either small or finite deformations occur. Numerical solution procedures for the case of finite deformation are prone to instabilities and computationally costly. Simplified models assuming small deformations increase stability of the solution process. Within this work, limitations of two simplified models in comparison with the fully non-linear TPM are studied. Therefore a Mandel-like problem is considered. Differences arise especially for rapid consolidation processes and for elongations larger than 3%. It can be further shown, that the simplified models have an inherent mass error.