Introduction to computational sciences with focus on numerical modeling of the mechanics of materials. Simulation of material damage, fracture and failure with various material models.
Lernziel
Learning from mistakes and failures is as old as the engineering discipline. Understanding why things went wrong is essential for improvement, but often impossible without the help of numerical modelling. Real world problems are often highly nonlinear, dependent on multiple physical fields, involve fundamental material behavior far from equilibrium and reversibility, and can often only be understood by addressing different relevant scales.
In this course, we will use real-life cases to learn how to deal with such problems. Starting from the problem description with governing equations, you will learn how to tackle non-linear and multi-field problems using numerical simulations. A particular focus will be on fracture. We will investigate the conditions and mechanisms that lead to material failure and analyze the contributions of plastic behavior, size effects, randomness in the underlying material micro-structure, and various other non-linear material behavior. You will learn various approaches to model the mechanics of complex heterogeneous materials and to implement your model in Python code to run numerical simulations.
Inhalt
1 Introduction to (numeric) forensic engineering 2 The nature of engineering problems (governing equations) 3 Numerical recipes for dealing with non-linear problems 4 Multi-field problems (HTM) 5 On the nature of failure - Physics of damage and fracture 6 Cracks and growth in structures (LEFM and beyond) 7 Introduction to metal plasticity 8 Damage and fracture in heterogeneous materials 9 Mechanics of fatigue 10 Visco-elastic failure 11 Student μ-Project presentation