Geometrically nonlinear stress-deflection relations for thin film/substrate systems

Christine B. Masters, N. J. Salamon

Research output: Contribution to journalArticle

78 Citations (Scopus)

Abstract

A previously developed geometrically nonlinear stress-curvature relation is expanded in this paper to allow for a less restrictive approximation of the midplane strains in a thin film/substrate system. The previous analysis is based on a minimization of the total strain energy and predicts a bifurcation in shape as the magnitude of intrinsic film stress increases. It is reviewed here and three new cases are presented. Expanding the approximating polynomials for the normal midplane strains ε0x and ε0y, has a small effect on the solution. However, allowing the midplane shear strain, γ0xy, to be nonzero has a pronounced effect on the solution, particularly in the stress region near the bifurcation point.

Original languageEnglish (US)
Pages (from-to)915-925
Number of pages11
JournalInternational Journal of Engineering Science
Volume31
Issue number6
DOIs
StatePublished - Jun 1993

Fingerprint

Thin films
Substrates
Shear strain
Strain energy
Polynomials

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Engineering(all)
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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abstract = "A previously developed geometrically nonlinear stress-curvature relation is expanded in this paper to allow for a less restrictive approximation of the midplane strains in a thin film/substrate system. The previous analysis is based on a minimization of the total strain energy and predicts a bifurcation in shape as the magnitude of intrinsic film stress increases. It is reviewed here and three new cases are presented. Expanding the approximating polynomials for the normal midplane strains ε0x and ε0y, has a small effect on the solution. However, allowing the midplane shear strain, γ0xy, to be nonzero has a pronounced effect on the solution, particularly in the stress region near the bifurcation point.",
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Geometrically nonlinear stress-deflection relations for thin film/substrate systems. / Masters, Christine B.; Salamon, N. J.

In: International Journal of Engineering Science, Vol. 31, No. 6, 06.1993, p. 915-925.

Research output: Contribution to journalArticle

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