Work

Plane-stress analysis of a holed membrane at finite equibiaxial stretch

Year: 2024

Type: article

Abstract: An equibiaxially stretched thin neo-Hookean circular membrane with a hole at its center under plane-stress condition is analyzed within the framework of finite deformation elasticity. Initially, we introduce a novel form for the differential governing equation to the problem. This enables the introduction of a closed-form solution in the limit of infinite stretch. Comparison of this solution to corresponding finite element simulations reveals a neat agreement for stretch ratios larger than 2.5. In the practically important case of a small hole, at the circumference of the hole, the stress concentration factor is 4 and the tangential stretch ratio is twice the applied far-field stretch ratio. These values are double the corresponding ratios in the well-known limit of infinitesimal deformation.

Source: Mathematics and Mechanics of Solids

DOI: 10.1177/10812865241270732

Authors: Idan Z Friedberg, Gal deBotton

Institution: Ben-Gurion University of the Negev

Language: English

Topic: Elasticity and Material Modeling

Subfield: Biomedical Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,950

Funder: United States-Israel Binational Science Foundation