TY - JOUR
T1 - Geometrically nonlinear stress-deflection relations for thin film/substrate systems
AU - Masters, Christine B.
AU - Salamon, N. J.
N1 - Funding Information:
Acknowledgemenur-Thea uthors thank R. F. Messier for suggestingt he original problem, L. J. Pilione for many useful discussionsa nd especiallyD . Fahnline for close interactions.C . Masters is grateful for the support of the AcademicC omputingF ellowshipf undedt hrought he PennsylvaniaS tateU niversityw ith partials upportf rom the IBM Corporation.
Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 1993/6
Y1 - 1993/6
N2 - 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.
AB - 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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U2 - 10.1016/0020-7225(93)90103-2
DO - 10.1016/0020-7225(93)90103-2
M3 - Article
AN - SCOPUS:0027609996
SN - 0020-7225
VL - 31
SP - 915
EP - 925
JO - International Journal of Engineering Science
JF - International Journal of Engineering Science
IS - 6
ER -