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Theory behind the evaluation of normal vectors in COMSOL Multiphysics

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Hi COMSOL users,

I am studying the effect of semi-elliptical surface cracks on the fatigue life of pipeline welds using the COMSOL single-edge crack tutorial (in version 5.3a or older) based on the J-integral as a benchmark.

I was wondering if anyone knows the theory behind the definition of the unit normal vectors applied in this tutorial. My model is defined by a crack depth and length,aandc, respectively. In my model (please see attached images) it is relatively straightforward to define the unit normal vectors on the edges bounding the crack depth 'a' as -1 or 1 depending on the direction. However, it gets complicated when I move to the weld region and try to define the unit normal vectors on the edges bounding the crack length 'c'. I have tried to define them by using an estimated angle of 30 degrees but this angle is inconsistent as I increase the size of the crack particularly 'c' along the weld region.

Does anyone know the theory behind the definition of these normal vectors as used in COMSOL or have a sophisticated way of defining them. I would really appreciate any suggestions.

Kind regards, Ayo



0 Replies Last Post 2020年10月20日 GMT+2 02:56
COMSOL Moderator

Hello Ayodeji Olamide

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