STRESS MINIMIZATION AROUND A HOLE WITH A STOCHASTICALLY SIMULATED MICRO-ROUGH EDGE IN A LOADED ELASTIC PLATE
College
Engineering and Computer Science
Department
Ocean and Mechanical Engineering
Document Type
Article
Publication/Event/Conference Title
Journal of Mechanics of Materials and Structures
Publication Status
Version of Record
Abstract
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 equibiaxial 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.
First Page
277
Last Page
288
DOI
10.2140/jomms.2020.15.277
Publication Date
1-1-2020
Recommended Citation
Vigdergauz, Shmuel and Elishakoff, Isaac, "STRESS MINIMIZATION AROUND A HOLE WITH A STOCHASTICALLY SIMULATED MICRO-ROUGH EDGE IN A LOADED ELASTIC PLATE" (2020). Faculty Scholarship. 248.
https://digitalcommons.fau.edu/faculty_papers/248