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research-article

Stress Concentration in Low Porosity Periodic Tessellations With Generic Patterns of Elliptical Holes Under Biaxial Strain

[+] Author and Article Information
Jiazhen Leng

ASME Member, Department of Mechanical Engineering, McGill University, 817 Sherbrooke Street West, Montreal, Québec H3A 0C3, Canada
jiazhen.leng@mcgill.ca

Gerard Reynolds

Department of Mechanical Engineering, McGill University, 817 Sherbrooke Street West, Montreal, Québec H3A 0C3, Canada
gerard.reynolds@mail.mcgill.ca

Megan Schaenzer

Siemens Power and Gas, 9545 Côte-de-Liesse, Dorval, Quéec, H9P 1A5, Canada
megan.schaenzer@siemens.com

Minh Quan Pham

Siemens Power and Gas, 9545 Côte-de-Liesse, Dorval, Quéec, H9P 1A5, Canada
minhquan.pham@siemens.com

Genevieve Bourgeois

Siemens Power and Gas, 9545 Côte-de-Liesse, Dorval, Quéec, H9P 1A5, Canada
genevieve.bourgeois@siemens.com

Ali Shanian

Siemens Power and Gas, 9545 Côte-de-Liesse, Dorval, Quéec, H9P 1A5, Canada
ali.shanian@siemens.com

Damiano Pasini

ASME Member, Department of Mechanical Engineering, McGill University, 817 Sherbrooke Street West, Montreal, Québec H3A 0C3, Canada
damiano.pasini@mcgill.ca

1Corresponding author.

ASME doi:10.1115/1.4040539 History: Received March 24, 2018; Revised May 28, 2018

Abstract

Stress concentration in porous materials is one of the most crucial culprits of mechanical failure. This paper focuses on planar porous materials with porosity less than 5%. We present a stress-prediction model of an arbitrarily rotated elliptical hole in a rhombus shaped representative volume element (RVE) that can represent a class of generic planar tessellations, including rectangular, triangular, hexagonal, Kagome and other patterns. The theoretical model allows the determination of peak stress and distribution of stress generated near the edge of elliptical holes for any arbitrary tiling under displacement loading and periodic boundary conditions. The results show that the alignment of the void with the principal directions minimizes stress concentration. Numerical simulations support the theoretical findings and suggest the observations remain valid for porosity as large as 5%. This work provides a fundamental understanding of stress concentration in low porosity planar materials with insight that not only complements classical theories on the subject, but also provides a practical reference for material design in mechanical, aerospace and other industry.

Siemens AG
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