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Kinetic relations and local energy balance for LEFM from a nonlocal peridynamic model

Journal: International Journal of Fracture

Abstract: A simple nonlocal field theory of peridynamic type is applied to model brittle fracture. The kinetic relation for the crack tip velocity given by Linear Elastic Fracture Mechanics (LEFM) is recovered directly from the nonlocal dynamics, this is seen both theoretically and in simulations. An explicit formula for the change of internal energy inside a neighborhood enclosing the crack tip is found for the nonlocal model and applied to LEFM.


3D crack growth with remeshing using Z-set/Zebulon

Recent advance in adaptive remeshing techniques now gives the possibility to efficiently simulate complex 3D crack growth using conform meshing of the discontinuity. An exemple of such kind of mixed mode simulation with adpative remeshing can be seen on YouTube:

Survey on XFEM: is XFEM good at characterizing Failure rather than Fracture?

Would like to hear your expertise/user/non-expert/sceptic comments on XFEM. Here are some of the challenges. Would like to hear your relections.

1. Can XFEM be utilized in characterizing Failure rather than Fracture?

2. What sort of challenges XFEM still have with respect to Fracture Mechanics?

3. How the Fracture mechanics benefit the industry, from the perspective of strcutural integrity?

4. Failue investigations vs. Fracture investigations: benefit to industry?

5. Academist vs Engineer: Perspective on XFEM

Crack length in fracture mechanics

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Could please any one knows give me an idea about solving a problem which I face for the ages.

I have modelled a beam with a sharp edge at the corner of a rectangular hole with ABAQUS. I have introduced different crack length and using LEFM, I have made some predictions for the failure load of the beam. Now the predicted load is dependent on the crack length. How can I chooose the right crack length?

Thank you

The Paris equation

The  Paris equation should correctly be referred to as the ERDOGAN-PARIS equation, maybe some more names may be needed.

LEFM is a term bandied about in the text books, but very few texts  know how to define what it means and how it applies.

You can take my course.  What happened to the earlier posts about my course.

Anyone who contributes to my DORN-RAJNAK or HARPER DORN will be given credit.


Stress concentration at a corner of varying angles, mode I and mode II

Choose a channel featured in the header of iMechanica: 

I was looking at the stress concentration at a corner for both a mode I and mode II loading situation.

For reference, see: Carpenter, 1984. Mode I and mode II stress intensities for plates with cracks of finite opening. International Journal of Fracture. V. 26. 201-214. 1984.

The problem that is being addresses is the stress concentration found at a corner in an infine body as seen in the figure below. β=0...π.

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