Stress minimization around a hole with a stochastically simulated micro-rough edge in a loaded elastic plate

Vigdergauz, Shmuel; Elishakoff, Isaac

doi:10.2140/jomms.2020.15.277

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN 1559-3959 (online)

ISSN 1559-3959 (print)

Author index

To appear

Other MSP journals

Stress minimization around a hole with a stochastically simulated micro-rough edge in a loaded elastic plate

Shmuel Vigdergauz and Isaac Elishakoff

Vol. 15 (2020), No. 2, 277–289

DOI: 10.2140/jomms.2020.15.277

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 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.

Keywords

2D elastostatic problem, Kolosov–Muskhelishvili potentials, stress concentration factor, shape optimization, surface micro-roughness, genetic algorithm

Milestones

Received: 3 March 2020

Revised: 12 March 2020

Accepted: 19 March 2020

Published: 8 April 2020

Authors

Shmuel Vigdergauz
Research and Development Division The Israel Electric Corporation Ltd. Haifa Israel

Isaac Elishakoff
Department of Ocean and Mechanical Engineering Florida Atlantic University Boca Raton, FL United States

Vol. 15, No. 2, 2020

Shmuel Vigdergauz and Isaac Elishakoff

Abstract

Keywords

Milestones

Authors