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THREE‐DIMENSIONAL SHAPE OPTIMIZATION OF A BAR WITH A RECTANGULAR HOLE
Author(s) -
Mattheck C.,
Erb D.,
Bethge K.,
Begemann U.
Publication year - 1992
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1111/j.1460-2695.1992.tb01276.x
Subject(s) - bar (unit) , bending , structural engineering , shape optimization , materials science , reduction (mathematics) , engineering , mechanical engineering , composite material , mathematics , geometry , finite element method , physics , meteorology
— A cylindrical bar subjected to bending has a rectangular hole for functional reasons. The initial design failed occasionally due to fatigue cracks originating at the corners of the hole under service conditions. Therefore, a shape optimization was performed using CAO (computer‐aided optimization) based on the computer‐simulation of biological growth. A significant reduction of large notch stresses was achieved. Prototypes manufactured with the shape‐optimized design endured 40 times longer in a fatigue test than the previous design. The example demonstrates that the CAO method is a very powerful and straightforward method for the designer who wants a light‐weight and fatigue‐resistant design.