New stress relation for thin film systems

Christine Masters, N. J. Salamon

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Geometrically nonlinear relations have been developed to relate the deflection of a thin film/substrate system to the intrinsic film stress when these deflections are larger than the thickness of the substrate. Using the Rayleigh-Ritz method, these nonlinear relations were developed by approximating the out-of-plane deflections and midplane normal strains by 2nd order polynomials with unknown coefficients. Solving for the unknown coefficients to minimize the strain energy of the system produces several plate deflection configurations. In an isotropic system, at very low intrinsic film stresses, a single, stable, spherical plate configuration is predicted. However as the intrinsic film stress increases, the theoretical solution bifurcates, predicting one unstable spherical shape and two stable ellipsoidal shapes. In the limit as the intrinsic film stress approaches infinity, the ellipsoidal configurations develop into cylindrical plate curvatures about either one of the two axes. Although similar formulations have been reported before, this new relation is significantly more accurate when compared to a three-dimensional nonlinear finite element solution.

Original languageEnglish (US)
Title of host publicationMechanics of Composite Materials - Nonlinear Effects
EditorsM.W. Hyer
PublisherPubl by ASME
Pages143-152
Number of pages10
ISBN (Print)0791811387
StatePublished - Jan 1 1993
Event1st Joint Mechanics Meeting of ASME/ASCE/SES - MEET'N'93 - Charlottesville, VA, USA
Duration: Jun 6 1993Jun 9 1993

Publication series

NameAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
Volume159
ISSN (Print)0160-8835

Other

Other1st Joint Mechanics Meeting of ASME/ASCE/SES - MEET'N'93
CityCharlottesville, VA, USA
Period6/6/936/9/93

Fingerprint

Thin films
Substrates
Strain energy
Polynomials

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Cite this

Masters, C., & Salamon, N. J. (1993). New stress relation for thin film systems. In M. W. Hyer (Ed.), Mechanics of Composite Materials - Nonlinear Effects (pp. 143-152). (American Society of Mechanical Engineers, Applied Mechanics Division, AMD; Vol. 159). Publ by ASME.
Masters, Christine ; Salamon, N. J. / New stress relation for thin film systems. Mechanics of Composite Materials - Nonlinear Effects. editor / M.W. Hyer. Publ by ASME, 1993. pp. 143-152 (American Society of Mechanical Engineers, Applied Mechanics Division, AMD).
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Masters, C & Salamon, NJ 1993, New stress relation for thin film systems. in MW Hyer (ed.), Mechanics of Composite Materials - Nonlinear Effects. American Society of Mechanical Engineers, Applied Mechanics Division, AMD, vol. 159, Publ by ASME, pp. 143-152, 1st Joint Mechanics Meeting of ASME/ASCE/SES - MEET'N'93, Charlottesville, VA, USA, 6/6/93.

New stress relation for thin film systems. / Masters, Christine; Salamon, N. J.

Mechanics of Composite Materials - Nonlinear Effects. ed. / M.W. Hyer. Publ by ASME, 1993. p. 143-152 (American Society of Mechanical Engineers, Applied Mechanics Division, AMD; Vol. 159).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Masters C, Salamon NJ. New stress relation for thin film systems. In Hyer MW, editor, Mechanics of Composite Materials - Nonlinear Effects. Publ by ASME. 1993. p. 143-152. (American Society of Mechanical Engineers, Applied Mechanics Division, AMD).