A Theoretical and Numerical Study of a Thin Clamped Circular Film under an External Load in the Presence of a Tensile Residual Stress

Abstract

Tensile residual stress in a plate or membrane clamped at the perimeter can be measured by either applying a uniform hydrostatic pressure or a central load via a cylindrical punch (with several different loading configurations). Analytical constitutive relations are derived here based on an average membrane stress approximation and are compared to finite element analysis results. the thickness and flexural rigidity of the film are not confined to a small range but will span a wide spectrum. the elastic responses of the blistering films are shown to be linear when the film is thick, relatively rigid, or subjected to a large residual stress, and cubic when the film is thin, flexible, or under a small residual stress. the linear-to-cubic transition is formulated. © 2002 Elsevier Science B.V. All rights reserved.

Department(s)

Mechanical and Aerospace Engineering

Keywords and Phrases

Blister; Residual stress; Thin film

International Standard Serial Number (ISSN)

0040-6090

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Elsevier, All rights reserved.

Publication Date

03 Feb 2003

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