Further developments in shape optimization of stress concentration regions. Part 2: Applications
Abstract
Cyclic loading of structural components may lead to development of fatigue cracks in stress concentration regions (SCR). Whenever the consequences of such cracks are serious, substantial extra cost and effort may be expended by the designers to delay crack initiation by optimizing the shape of the SCR so as to minimize the peak stress. A sequential linear programming-based technique and two approximation techniques were developed to minimize computation time. In this paper these techniques are applied to a specific example. The optimized shape is determined for various relative intensities of the symmetric and antisymmetric components of the stress field in the stress concentration region. The results are generalized to any geometrically similar SCR, thus virtually eliminating the computational cost of optimizing such regions.
- Publication:
-
13th Canadian Congress of Applied Mechanics
- Pub Date:
- May 1991
- Bibcode:
- 1991ccam.proc..146B
- Keywords:
-
- Algorithms;
- Linear Programming;
- Optimization;
- Shapes;
- Stress Concentration;
- Stress Distribution;
- Boundary Element Method;
- Crack Initiation;
- Cracking (Fracturing);
- Fatigue Life;
- Structural Mechanics