Mathematikgebäude, Raum M 511

In this presentation, I will give an overview of existing papers and results regarding the topic quasistatic perfect plasticity. The main papers I consider are Suquet, Pierre-Marie. ``Sur les équations de la plasticité: existence et régularité des solutions.`` J. Mécanique 20.1 (1981): 3-39, Dal Maso, Gianni, Antonio DeSimone, and Maria Giovanna Mora. ``Quasistatic evolution problems for linearly elastic–perfectly plastic materials.`` Archive for rational mechanics and analysis 180.2 (2006): 237-291, and Bartels, Sören, Alexander Mielke, and TomᚠRoubíček. ``Quasi-static small-strain plasticity in the limit of vanishing hardening and its numerical approximation.`` SIAM Journal on Numerical Analysis 50.2 (2012): 951-976. In order to understand the content of these papers a short introduction to the space of bounded deformation is needed. I will also go into detail in some of the proofs and compare the notions of a solution and obtained approximation results given in the mentioned papers.

M.Sc. Stephan Walther

TU Dortmund