Computational Plasticity

What it is about

You will learn mathematical models and numerical algorithms for describing and calculating plasticity processes — from small to finite deformations. In the end you will be able to apply common plasticity models (e.g., J2 plasticity), return-mapping algorithms, viscoplastic models, and simplified methods such as limit analysis, and assess their implementation.

What you will be able to do

• Identify the most important aspects and models of plasticity
• Understand the assumptions and simplifications of the models
• Apply models and methods of Small-Strain-Plasticity (SSP)
• Apply methods of Finite-Strain-Plasticity (FSP)
• Apply limit-analysis approaches for static and dynamic cases
• Analyze algorithmic procedures (e.g., return-mapping)
• Evaluate implementations in software
• Develop flowcharts and pseudocode for plasticity algorithms

What the module consists of

• VorlesungVermittlung der Inhalte, Demonstration von Anwendungsbeispielen und Pseudo-Codes

Teaching method

• VorlesungPrinciples and algorithms introduce and deepen through discussions
• AnwendungsbeispieleIllustrate plastic behavior of typical materials and algorithmic implementation
• Software-Demonstrationen (z. B. Python)Show practical aspects and implementations
• Eigenständige LiteraturarbeitMotivate students to work on topics in depth on their own
• TafelarbeitPresent mathematical derivations and intermediate steps in a traceable way