Important announcement

Dear visitor,

Please note that this OpenCourseWare platform will be replaced at the end of 2026 by a new platform (under the same url ocw.tudelft.nl).

Courses and their contents that are currently available the platform will partly be migrated. URL’s for this content will change and content might be unavailable for some time. In addition, some courses will not be available anymore.

If you are linking to specific courses on this platform (for instance for your students), please take timely measures to avoid problems with access. Possible actions are:

  • Download the materials to your local platform (laptop, server)
  • For educators only (including TU Delft lecturers): Contact us at ocw@tudelft.nl and inform us what course you are using in what context (institute, program, period of use, number of students). We will research (in collaboration with the authors of the course) and decide if we will migrate the course, and if yes, can supply you with a new url.

Thank you.

6.5.4 Main Takeaways on Damage Tolerance

Course subject(s) Module 6. Certification, Fatigue, and Durability

Stress Concentration Factor vs. Stress Intensity Factor

The elastic stress concentration factor is not applicable to sharp cracks, as the elastic stress concentration approaches infinity (it is a singularity). Instead, we use a different quantity, the stress intensity factor (š¾) which is actually a quantity related to the gradient of the stress singularity. The stress intensity factor is thus used when analyzing fatigue cracks.

Modes of Crack Opening

The stress intensity factor is often broken up into components related to different modes of crack opening which we call fracture modes:

  • Mode I: tensile opening mode of the crack
  • Mode II: in-plane shear opening of the crack
  • Mode III: transverse shear opening of the crack

A Material Property for Crack Resistance

Using the stress intensity factor approach, we can relate the critical load at which a crack will result in failure of a structure to a material property known as the Fracture Toughness. The fracture toughness is a critical stress intensity factor that defines failure of different loading modes.

Creative Commons License
Introduction to Aerospace Structures and Materials by TU Delft OpenCourseWare is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Based on a work at https://online-learning.tudelft.nl/courses/introduction-to-aerospace-structures-and-materials/.
Back to top
[sg_popup id=6]