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Stress minimization
around a hole with a stochastically simulated micro-rough
edge in a loaded elastic plate
Shmuel Vigdergauz and Isaac Elishakoff |
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Vol. 15 (2020), No. 2, 277–289
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Abstract |
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A conformal mapping technique is used to simulate a variety of highly oscillating roughness profiles and further to analytically solve the stress field induced around a hole in a thin elastic plate under equi-biaxial tension at infinity. This framework is combined with genetic algorithm scheme to minimize the hoop stress concentration factor (SCF) by appropriately shaping the profile at given integral-type roughness parameters embedded in the optimization as non-linear lower constraints. The effectiveness of the proposed approach is demonstrated by extensive numerical tests aiming to find the SCF-roughness dependence which finally assumes a simple and accurate analytical form applicable in a representative micro-scale range. |
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Keywords
2D elastostatic problem, Kolosov–Muskhelishvili potentials,
stress concentration factor, shape optimization, surface
micro-roughness, genetic algorithm
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Milestones
Received: 3 March 2020
Revised: 12 March 2020
Accepted: 19 March 2020
Published: 8 April 2020
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Authors |
| Shmuel Vigdergauz | |
| Research and Development
Division The Israel Electric Corporation Ltd. Haifa Israel |
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| Isaac Elishakoff | |
| Department of Ocean and Mechanical
Engineering Florida Atlantic University Boca Raton, FL United States |
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