3 papers
math.NA2025
Direct coupling of continuum and shell elements in large deformation problems
Astrid Pechstein, Michael Neunteufel
In many applications, thin shell-like structures are integrated within or attached to volumetric bodies. This includes reinforcements placed in soft matrix material in lightweight…
math.NA2020
Variational inequalities for ferroelectric constitutive modeling
Martin Meindlhumer, Astrid Pechstein, Alexander Humer
This paper is concerned with modeling the polarization process in ferroelectric media. We develop a thermodynamically consistent model, based on phenomenological descriptions of fr…
math.NA2019
The polarization process of ferroelectric materials analyzed in the framework of variational inequalities
Astrid S. Pechstein, Martin Meindlhumer, Alexander Humer
We are concerned with the mathematical modeling of the polarization process in ferroelectric media. We assume that this dissipative process is governed by two constitutive function…