TU Bergakademie Freiberg · Institut für Mechanik und Fluiddynamik · 09596 Freiberg Lampadiusstr. 4 · http://tu-freiberg.de/fakult4/imfd/

Lecture Summer Term 2015

Fracture Mechanics Computations (Theory, Numeric and Applications)

Lecturer: Prof. Dr. M. Kuna

Date: Wed. 7:30 - 9:00 am

Lecture Hall: WEI-1051

Audience: 2.CMS, 8./9. MB, 8./9. FWK, 8./9. WWT

PhD students SFB 799/920

Exercises: Thu. 16:00 - 17:30 pm, WEI-1116, F. Rabold (german)

Fri. 9:15 - 10:45 am, WEI-1116, L. Zybell (english)

Attention: First lecture starts on April 8th 2015!

Aim of the class: The theoretical foundations of fracture mechanics are presented. The essential fracture mechanical loading parameters are introduced for linear elastic and elastic-plastic materials under static, dynamic and cyclic loading. In order to calculate these loading parameters numerically for cracks in structural components and materials, suitable Finite-Element-Techniques are explained. The application of fracture mechanical concepts to assess safety and life time of structural components is demonstrated by means of practical examples.

TU Bergakademie Freiberg · Institut für Mechanik und Fluiddynamik · 09596 Freiberg Lampadiusstr. 4 · http://tu-freiberg.de/fakult4/imfd/

Topics: 1. Introduction

1.1. Classification of fracture processes 1.2. Basic assumptions in fracture mechanics

2. Linear–Elastic Fracture Mechanics LEFM 2.1. Stress field at crack tips 2.2. Stress intensity factors – K-concept 2.3. Energy balance at crack growth 2.4. J–Integral 2.5. Practical examples

3. Elastic–Plastic Fracture Mechanics EPFM 3.1. Small Scale Yielding SSY 3.2. The Dugdale-Modell 3.3. Crack Tip Opening Displacement CTOD 3.4. J-Integral-concept 3.5. Failure Assessment Diagram FAD 3.6. Ductile crack propagation 3.7. Practical examples

4. Fatigue Crack Growth 4.1. Loading with constant amplitude 4.2. Loading with variable amplitude 4.3. Crack propagation under Mixed-Mode-Loading 4.4. Practical examples

5. Finite-Element-Methods in linear-elastic Fracture Mechanics 5.1. Special crack tip elements 5.2. Crack Closure Integral Method 5.3. Calculation of generalized J-Integrals 5.4. Computational examples

6. Finite-Element-Methods in elastic-plastic Fracture Mechanics 6.1. Special crack tip elements 6.2. Calculation of CTOD and J-Integral 6.3. Computational examples

TU Bergakademie Freiberg · Institut für Mechanik und Fluiddynamik · 09596 Freiberg Lampadiusstr. 4 · http://tu-freiberg.de/fakult4/imfd/

Recommended Literature:

Gross, D. and T. Seelig: Fracture Mechanics: With an Introduction to Micromechanics. Springer Verlag Berlin Heidelberg, 2nd edition, 2011. Kuna, M.: Finite Elements in Fracture Mechanics; Theory - Numerics - Applications. Solid Mechanics and its Applications, Vol. 201. Springer 2013 Anderson, T. L.: Fracture Mechanics: Fundamentals and Applications, CRC Press, Boca Raton 1995

Internet:

tu-freiberg.de/fakult4/imfd/lehre/mechanik/BruchM/BruchM_index.en.html